Question

the hcf of 33, 55 and 110 is

Answer 1

119>55>33
by using Euclid's division lemma ,
55=33×1+22
33=22×1+11
22=11×2+0
so hcf of 55 and 33 is 11.
Now 110>11
Again by using Euclid's division lemma,
110=11×10+0

Hence hcf of 33,55 and 110 is 11.

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Answer 2

Find the prime factors of 33, 55 and 110:

33 = 3 x 11

55 = 5 x 11

110 = 2 x 5 x 11

Find the Highest Common Factor:

*For HCF, we picked up  all the factors that are common across all the 3 numbers. The factor(s) MUST be common cross all the 3 numbers.

HCF = 11

Answer: The HCF of the 33, 55 and 110 is 11