GCD of 952, 649, 31, 624 Calculator

Given Input numbers are 952, 649, 31, 624

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

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Greatest Common Divisior

We found the divisors of 952, 649, 31, 624 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 952, 649, 31, 624 is 1.

Therefore, GCD of numbers 952, 649, 31, 624 is 1

Given Input Data is 952, 649, 31, 624

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

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

Prime Factorization of 649 is 11 x 59

Prime Factorization of 31 is 31

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

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(952, 649) = 617848

GCD(952, 649) = ( 952 x 649 ) / 617848

GCD(952, 649) = 617848 / 617848

GCD(952, 649) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 624

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

LCM(1, 624) = 624

GCD(1, 624) = ( 1 x 624 ) / 624

GCD(1, 624) = 624 / 624

GCD(1, 624) = 1

GCD of 952, 649, 31, 624 is 1

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1. What is the GCD of 952, 649, 31, 624?

GCD of 952, 649, 31, 624 is 1

2. Where do I get the detailed procedure to find GCD of 952, 649, 31, 624?

You can find a detailed procedure to find GCD of 952, 649, 31, 624 on our page.

3. How to find GCD of 952, 649, 31, 624 on a calculator?

You can find the GCD of 952, 649, 31, 624 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.