Use Euclid's division lemma to show that the square of any positive integer is either of the form 3m or 3m+1 for some integer m.

Use Euclid's division lemma to show that the cube of any positive integer is of the form 9m,9m+1 or 9m+8.

Euclid's division lemma is applicable to Calculate only____

Use Euclid's division algorithm to find the H.C.F of 408 and 1032.

Use Euclid's division algorithm to find the H.C.F of 4052 and 12576.

Use Euclid's division algorithm to find the HCF of :(iii) 867 and 225

Use Euclid's division algorithm to find the HCF of :(i) 135 and 225

Use Euclid's division algorithm to find the HCF of :(ii) 196 and 38220

What is cell division?

You have seen that a number 450 is divisible by 10. It is also divisible by 2 and 5 which are factors of 10. Similarly, a number 135 is divisible by 9. It is also divisible by 3 which is a factor of 9. Can you say that if a number is divisible by any number m, then it will also be divisible by each of the factors of m?