Find the highest common factor (HCF) of 12 and 18.

We start off by drawing attention to the first number in the question, 12. The number can be broken down into multiples by dividing it by the lowest number (that isn't 1): This breakdown is as follows:

12=2*6

The 6 can be broken down also giving:

12=223

Now this number is finished with since 3 is a prime number.

Now do the same for the second number:

18=233

From the 2 breakdowns take out the matching multiples. This comprises of 2*3, because you can see there is a 2 and a 3 in each breakdown.

Now, this gives 2*3=6, which is the HCF as required.

JJ
Answered by Jake J. Maths tutor

34649 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

5x - 2 > 3x + 11


Please factorise and solve x^2 -1 = 0


Find the roots of the following equation x^2 + 6x + 5 = 0


£X was invested for 5 years, earning compound interest of 2% per year. After 5 years the total value of the investment was £11,040.81. How do I calculate the value of the invested amount £X?


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences