GCD of 968, 900, 539, 626 Calculator

Given Input numbers are 968, 900, 539, 626

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

Divisors of 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

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 539

List of positive integer divisors of 539 that divides 539 without a remainder.

1, 7, 11, 49, 77, 539

Divisors of 626

List of positive integer divisors of 626 that divides 626 without a remainder.

1, 2, 313, 626

Greatest Common Divisior

We found the divisors of 968, 900, 539, 626 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 968, 900, 539, 626 is 1.

Therefore, GCD of numbers 968, 900, 539, 626 is 1

Given Input Data is 968, 900, 539, 626

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

Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11

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

Prime Factorization of 539 is 7 x 7 x 11

Prime Factorization of 626 is 2 x 313

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(968, 900) = 217800

GCD(968, 900) = ( 968 x 900 ) / 217800

GCD(968, 900) = 871200 / 217800

GCD(968, 900) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 539

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

LCM(4, 539) = 2156

GCD(4, 539) = ( 4 x 539 ) / 2156

GCD(4, 539) = 2156 / 2156

GCD(4, 539) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 626

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

LCM(1, 626) = 626

GCD(1, 626) = ( 1 x 626 ) / 626

GCD(1, 626) = 626 / 626

GCD(1, 626) = 1

GCD of 968, 900, 539, 626 is 1

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1. What is the GCD of 968, 900, 539, 626?

GCD of 968, 900, 539, 626 is 1

2. Where do I get the detailed procedure to find GCD of 968, 900, 539, 626?

You can find a detailed procedure to find GCD of 968, 900, 539, 626 on our page.

3. How to find GCD of 968, 900, 539, 626 on a calculator?

You can find the GCD of 968, 900, 539, 626 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.