Math, asked by sishzirakh8851, 11 months ago

check whether 40 and 375 co prime or not​

Answers

Answered by ravi901
0

Answer:

no this is not coprime number

Answered by Anonymous
12

Step-by-step explanation:

40 and 375 are not coprime (relatively, mutually prime) - if they have common prime factors, that is, if their greatest (highest) common factor (divisor), gcf, hcf, gcd, is not 1.

Approach 1. Integer numbers prime factorization. Approach 2. Euclid's algorithm.

Approach 1. Integer numbers prime factorization:

40 = 23 × 5;

375 = 3 × 53;

Calculate the greatest (highest) common factor (divisor), gcf, hcf, gcd:

Multiply all the common prime factors, by the lowest exponents.

gcf, hcf, gcd (40; 375) = 5;

The numbers have common prime factors.

Coprime numbers (relatively prime) (40; 375)? No.

gcf, hcf, gcd (40; 375) = 5.

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