GCD of 474, 872, 65, 695 Calculator

Given Input numbers are 474, 872, 65, 695

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

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 695

List of positive integer divisors of 695 that divides 695 without a remainder.

1, 5, 139, 695

Greatest Common Divisior

We found the divisors of 474, 872, 65, 695 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 474, 872, 65, 695 is 1.

Therefore, GCD of numbers 474, 872, 65, 695 is 1

Given Input Data is 474, 872, 65, 695

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

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 872 is 2 x 2 x 2 x 109

Prime Factorization of 65 is 5 x 13

Prime Factorization of 695 is 5 x 139

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(474, 872) = 206664

GCD(474, 872) = ( 474 x 872 ) / 206664

GCD(474, 872) = 413328 / 206664

GCD(474, 872) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 65

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

LCM(2, 65) = 130

GCD(2, 65) = ( 2 x 65 ) / 130

GCD(2, 65) = 130 / 130

GCD(2, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 695

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

LCM(1, 695) = 695

GCD(1, 695) = ( 1 x 695 ) / 695

GCD(1, 695) = 695 / 695

GCD(1, 695) = 1

GCD of 474, 872, 65, 695 is 1

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1. What is the GCD of 474, 872, 65, 695?

GCD of 474, 872, 65, 695 is 1

2. Where do I get the detailed procedure to find GCD of 474, 872, 65, 695?

You can find a detailed procedure to find GCD of 474, 872, 65, 695 on our page.

3. How to find GCD of 474, 872, 65, 695 on a calculator?

You can find the GCD of 474, 872, 65, 695 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.