GCD of 924, 130, 719, 953 Calculator

Given Input numbers are 924, 130, 719, 953

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

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 130

List of positive integer divisors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 719

List of positive integer divisors of 719 that divides 719 without a remainder.

1, 719

Divisors of 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

Greatest Common Divisior

We found the divisors of 924, 130, 719, 953 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 924, 130, 719, 953 is 1.

Therefore, GCD of numbers 924, 130, 719, 953 is 1

Given Input Data is 924, 130, 719, 953

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

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

Prime Factorization of 130 is 2 x 5 x 13

Prime Factorization of 719 is 719

Prime Factorization of 953 is 953

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(924, 130) = 60060

GCD(924, 130) = ( 924 x 130 ) / 60060

GCD(924, 130) = 120120 / 60060

GCD(924, 130) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 719

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

LCM(2, 719) = 1438

GCD(2, 719) = ( 2 x 719 ) / 1438

GCD(2, 719) = 1438 / 1438

GCD(2, 719) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 953

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

LCM(1, 953) = 953

GCD(1, 953) = ( 1 x 953 ) / 953

GCD(1, 953) = 953 / 953

GCD(1, 953) = 1

GCD of 924, 130, 719, 953 is 1

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1. What is the GCD of 924, 130, 719, 953?

GCD of 924, 130, 719, 953 is 1

2. Where do I get the detailed procedure to find GCD of 924, 130, 719, 953?

You can find a detailed procedure to find GCD of 924, 130, 719, 953 on our page.

3. How to find GCD of 924, 130, 719, 953 on a calculator?

You can find the GCD of 924, 130, 719, 953 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.