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

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

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2 thoughts on “Use Euclid’s division algorithm to find the HCF of each of the following 270/675​”

  1. 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.

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  2. 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

    Reply

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