GCD of 645, 658, 874 Calculator

Given Input numbers are 645, 658, 874

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Greatest Common Divisior

We found the divisors of 645, 658, 874 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 645, 658, 874 is 1.

Therefore, GCD of numbers 645, 658, 874 is 1

Given Input Data is 645, 658, 874

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 645 is 3 x 5 x 43

Prime Factorization of 658 is 2 x 7 x 47

Prime Factorization of 874 is 2 x 19 x 23

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(645, 658) = 424410

GCD(645, 658) = ( 645 x 658 ) / 424410

GCD(645, 658) = 424410 / 424410

GCD(645, 658) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 874

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 874) = 874

GCD(1, 874) = ( 1 x 874 ) / 874

GCD(1, 874) = 874 / 874

GCD(1, 874) = 1

GCD of 645, 658, 874 is 1

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1. What is the GCD of 645, 658, 874?

GCD of 645, 658, 874 is 1

2. Where do I get the detailed procedure to find GCD of 645, 658, 874?

You can find a detailed procedure to find GCD of 645, 658, 874 on our page.

3. How to find GCD of 645, 658, 874 on a calculator?

You can find the GCD of 645, 658, 874 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.