Question

Use Euclid’s division algorithm to find the HCF of each of the following 270/675​

Answer 1

Step-by-step explanation:

Find the prime factorization of 270

270 = 2 × 3 × 3 × 3 × 5

Find the prime factorization of 675

675 = 3 × 3 × 3 × 5 × 5

To find the GCF, multiply all the prime factors common to both numbers:

Therefore, GCF = 3 × 3 × 3 × 5

GCF = 135

Answer 2

GCF = 135.

Step-by-step explanation:

What is the GCF of 270 and 675?

Find the prime factorization of 270. 270 = 2 × 3 × 3 × 3 × 5.

Find the prime factorization of 675. 675 = 3 × 3 × 3 × 5 × 5.

To find the GCF, multiply all the prime factors common to both numbers: Therefore, GCF = 3 × 3 × 3 × 5.

GCF = 135.