GCD of 130, 924, 739, 892 Calculator

Given Input numbers are 130, 924, 739, 892

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

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 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 739

List of positive integer divisors of 739 that divides 739 without a remainder.

1, 739

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Greatest Common Divisior

We found the divisors of 130, 924, 739, 892 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 130, 924, 739, 892 is 1.

Therefore, GCD of numbers 130, 924, 739, 892 is 1

Given Input Data is 130, 924, 739, 892

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

Prime Factorization of 130 is 2 x 5 x 13

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

Prime Factorization of 739 is 739

Prime Factorization of 892 is 2 x 2 x 223

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(130, 924) = 60060

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

GCD(130, 924) = 120120 / 60060

GCD(130, 924) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 739

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

LCM(2, 739) = 1478

GCD(2, 739) = ( 2 x 739 ) / 1478

GCD(2, 739) = 1478 / 1478

GCD(2, 739) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 892

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

LCM(1, 892) = 892

GCD(1, 892) = ( 1 x 892 ) / 892

GCD(1, 892) = 892 / 892

GCD(1, 892) = 1

GCD of 130, 924, 739, 892 is 1

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1. What is the GCD of 130, 924, 739, 892?

GCD of 130, 924, 739, 892 is 1

2. Where do I get the detailed procedure to find GCD of 130, 924, 739, 892?

You can find a detailed procedure to find GCD of 130, 924, 739, 892 on our page.

3. How to find GCD of 130, 924, 739, 892 on a calculator?

You can find the GCD of 130, 924, 739, 892 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.