GCD of 632, 560, 65, 974 Calculator

Given Input numbers are 632, 560, 65, 974

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

Divisors of 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 65

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

1, 5, 13, 65

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Greatest Common Divisior

We found the divisors of 632, 560, 65, 974 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 632, 560, 65, 974 is 1.

Therefore, GCD of numbers 632, 560, 65, 974 is 1

Given Input Data is 632, 560, 65, 974

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

Prime Factorization of 632 is 2 x 2 x 2 x 79

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 65 is 5 x 13

Prime Factorization of 974 is 2 x 487

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(632, 560) = 44240

GCD(632, 560) = ( 632 x 560 ) / 44240

GCD(632, 560) = 353920 / 44240

GCD(632, 560) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 65

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

LCM(8, 65) = 520

GCD(8, 65) = ( 8 x 65 ) / 520

GCD(8, 65) = 520 / 520

GCD(8, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 974

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

LCM(1, 974) = 974

GCD(1, 974) = ( 1 x 974 ) / 974

GCD(1, 974) = 974 / 974

GCD(1, 974) = 1

GCD of 632, 560, 65, 974 is 1

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1. What is the GCD of 632, 560, 65, 974?

GCD of 632, 560, 65, 974 is 1

2. Where do I get the detailed procedure to find GCD of 632, 560, 65, 974?

You can find a detailed procedure to find GCD of 632, 560, 65, 974 on our page.

3. How to find GCD of 632, 560, 65, 974 on a calculator?

You can find the GCD of 632, 560, 65, 974 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.