GCD of 496, 979, 900, 138 Calculator

Given Input numbers are 496, 979, 900, 138

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

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

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

Divisors of 979

List of positive integer divisors of 979 that divides 979 without a remainder.

1, 11, 89, 979

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Greatest Common Divisior

We found the divisors of 496, 979, 900, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 496, 979, 900, 138 is 1.

Therefore, GCD of numbers 496, 979, 900, 138 is 1

Given Input Data is 496, 979, 900, 138

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

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

Prime Factorization of 979 is 11 x 89

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 138 is 2 x 3 x 23

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(496, 979) = 485584

GCD(496, 979) = ( 496 x 979 ) / 485584

GCD(496, 979) = 485584 / 485584

GCD(496, 979) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 900

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

LCM(1, 900) = 900

GCD(1, 900) = ( 1 x 900 ) / 900

GCD(1, 900) = 900 / 900

GCD(1, 900) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 138

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

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

GCD(1, 138) = 138 / 138

GCD(1, 138) = 1

GCD of 496, 979, 900, 138 is 1

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1. What is the GCD of 496, 979, 900, 138?

GCD of 496, 979, 900, 138 is 1

2. Where do I get the detailed procedure to find GCD of 496, 979, 900, 138?

You can find a detailed procedure to find GCD of 496, 979, 900, 138 on our page.

3. How to find GCD of 496, 979, 900, 138 on a calculator?

You can find the GCD of 496, 979, 900, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.