Question

Find g.c.d of 819 and 658 and express it in the form 819 m + 658 n.​

Answer 1

Answer:

The tables contain the prime factorization of the natural numbers from 1 to 1000.

When n is a prime number, the prime factorization is just n itself, written in bold below.

The number 1 is called a unit. It has no prime factors and is neither prime nor composite.

See also: Table of divisors (prime and non-prime divisors for 1 to 1000)

Answer 2

The GCD of 819 and 658 is 7.

Given:

two numbers: 819 and 658

To Find:

we need to find the GCD of the given two numbers

Solution:

GCD stands for the greatest common divisor

in order to calculate the GCD of the two numbers, we first need to prime factorize the two numbers as follows-

819 = 3 × 3 × 7 × 13

and 658 = 2 × 7 × 47

now, we can see that 7 is the only common factor between the numbers 819 and 658

⇒ GCD(819, 658) = 7

Thus, the GCD of 819 and 658 comes out to be 7.

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