MYTUTOR SUBJECT ANSWERS

119 views

Find the highest common factor of 432 and 522

To do this, we first need to calculate the prime factorisations of 432 and 522, that is to say we need to break the numbers down into their prime factors.

Let's start with 432. 

432 = 2 x 216

432 = 2 x ( 2 x 108)

432 = 2 x 2 x (2 x 54)

432 = 2 x 2 x 2 x (9x6)

432 = 2 x 2 x 2 x (3 x 3) x (2 x 3)

Therefore, the prime factorisation of 432 is 24 x 33

SImilarly with 522,

522 = 2 x 261

522 = 2 x (3 x 87)

522 = 2 x 3 x (3 x 29)

Since 29 is a prime number, the prime factorisation of 522 is 2 x 32 x 29.

Now, to calculate the highest common factor of the two numbers, we can draw a Venn diagram to find the intersection of the two factorisations. 

For now, imagine it like this. 

432                             BOTH                        522

23   3                         2       32                        29

Therefore, the intersection of the two factorisations is 2 and 32, which means that the highest common factor is just those numbers multiplied.

So the HCF of 432 and 522 = 2 x 32 = 18

Melissa P. GCSE Maths tutor, 13 plus  Maths tutor, 11 Plus Maths tuto...

3 months ago

Answered by Melissa, a GCSE Maths tutor with MyTutor

Still stuck? Get one-to-one help from a personally interviewed subject specialist

327 SUBJECT SPECIALISTS

£18 /hr

Runzhi C.

Degree: Medicine (Bachelors) - Imperial College London University

Subjects offered: Maths, Chemistry+ 3 more

Maths
Chemistry
Biology
-Personal Statements-
-Medical School Preparation-

“Hi there, I am a first year medical student at Imperial College London and I have lived in the UK all my life. I enjoy studying medicine because it encompasses both scientific knowledge and social aspects. I am relatively new to tutor...”

MyTutor guarantee

£18 /hr

Ed W.

Degree: Medicine (Bachelors) - Edinburgh University

Subjects offered: Maths, Further Mathematics + 3 more

Maths
Further Mathematics
Chemistry
Biology
-Medical School Preparation-

“Hi! I'm Ed and I'm currently studying Medicine at the University of Edinburgh. I tutor at GCSE and A Level forBiology, Chemistry and Maths, and at GCSE level forFurther Maths. These are subjects I'm very comfortable in and enjoy. With ...”

MyTutor guarantee

£20 /hr

Cesar Manuel F.

Degree: BSc Computer Science (Bachelors) - University College London University

Subjects offered: Maths, Physics+ 2 more

Maths
Physics
History
Computing

“Hello! My name is Cesar, I am originally from Perú but I currently study BSc Computer Science at University College London. I graduated Markham College with Distinction after completing my International Baccalaureate (IB) course, in w...”

About the author

£18 /hr

Melissa P.

Degree: Mathematics (Bachelors) - Birmingham University

Subjects offered: Maths, Spanish

Maths
Spanish

“About me:  I am currently studying for a Maths degree at the University of Birmingham. I have enjoyed Maths since I was very young and hope I can pass some of this on to you!  I am very friendly. I have been coaching gymnastics since...”

You may also like...

Posts by Melissa

Factorise fully 3*a^3*b +12*a^2*b^2 + 9*a^5*b^3

Find the 100th term in the sequence 3, 7, 11, 15...

Find the highest common factor of 432 and 522

Find the next three terms of the sequence 17, 14.5, 12, 9.5

Other GCSE Maths questions

Find the maximum or minimum value of the function: y = 6x^2 + 4x + 2

When would I use the quadratic formula?

Write 825 as a product of its prime factors.

Complete Question won't fit here. Please see Explanation. Thanks.

View GCSE Maths tutors

Cookies:

We use cookies to improve our service. By continuing to use this website, we'll assume that you're OK with this. Dismiss

mtw:mercury1:status:ok