GCD of 456, 992, 73, 130 Calculator

Given Input numbers are 456, 992, 73, 130

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

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

Divisors of 130

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

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

Greatest Common Divisior

We found the divisors of 456, 992, 73, 130 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 456, 992, 73, 130 is 1.

Therefore, GCD of numbers 456, 992, 73, 130 is 1

Given Input Data is 456, 992, 73, 130

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

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 73 is 73

Prime Factorization of 130 is 2 x 5 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(456, 992) = 56544

GCD(456, 992) = ( 456 x 992 ) / 56544

GCD(456, 992) = 452352 / 56544

GCD(456, 992) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 73

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

LCM(8, 73) = 584

GCD(8, 73) = ( 8 x 73 ) / 584

GCD(8, 73) = 584 / 584

GCD(8, 73) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 130

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

LCM(1, 130) = 130

GCD(1, 130) = ( 1 x 130 ) / 130

GCD(1, 130) = 130 / 130

GCD(1, 130) = 1

GCD of 456, 992, 73, 130 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 270, 208, 11, 487
• GCD of 571, 525, 98, 641
• GCD of 692, 236, 99, 239
• GCD of 522, 602, 65, 837
• GCD of 773, 391, 46, 730

1. What is the GCD of 456, 992, 73, 130?

GCD of 456, 992, 73, 130 is 1

2. Where do I get the detailed procedure to find GCD of 456, 992, 73, 130?

You can find a detailed procedure to find GCD of 456, 992, 73, 130 on our page.

3. How to find GCD of 456, 992, 73, 130 on a calculator?

You can find the GCD of 456, 992, 73, 130 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.