Three positive integers a, b and c have, in pairs, highest common factors (a, b) = 24, (b, c) = 198 and (a, c) = 210. (a) What is the highest common factor of a, b and c? (b) Find the smallest values of a, b and c which satisfy the given criteria.

HCF(a,b,c)=6

Smallest values of a, b and c are 840, 792 and 6930 respectively.

Step-by-step explanation:

It is given that,

HCF(a,b)=24, HCF(b,c)=198 and HCF(a,c)=210.

If means 24 and 210 are the factors of a.

If means 24 and 198 are the factors of b.

If means 198 and 210 are the factors of c.

Therefore, the smallest values of a, b and c which satisfy the given criteria are 840, 792 and 6930 respectively.

Now,

Therefore, HCF of a, b and c is 6.

no

step-by-step explanation:

2-7=-5

7-2=5

when you combing like terms for ech expression, 5 and -5. these numbers are not equal to each other.