GCD of 972, 409, 625, 209 Calculator

Given Input numbers are 972, 409, 625, 209

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

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Divisors of 625

List of positive integer divisors of 625 that divides 625 without a remainder.

1, 5, 25, 125, 625

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Greatest Common Divisior

We found the divisors of 972, 409, 625, 209 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 409, 625, 209 is 1.

Therefore, GCD of numbers 972, 409, 625, 209 is 1

Given Input Data is 972, 409, 625, 209

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

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 409 is 409

Prime Factorization of 625 is 5 x 5 x 5 x 5

Prime Factorization of 209 is 11 x 19

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(972, 409) = 397548

GCD(972, 409) = ( 972 x 409 ) / 397548

GCD(972, 409) = 397548 / 397548

GCD(972, 409) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 625

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

LCM(1, 625) = 625

GCD(1, 625) = ( 1 x 625 ) / 625

GCD(1, 625) = 625 / 625

GCD(1, 625) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 209

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

LCM(1, 209) = 209

GCD(1, 209) = ( 1 x 209 ) / 209

GCD(1, 209) = 209 / 209

GCD(1, 209) = 1

GCD of 972, 409, 625, 209 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 110, 653, 720, 695
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• GCD of 577, 642, 130, 912

1. What is the GCD of 972, 409, 625, 209?

GCD of 972, 409, 625, 209 is 1

2. Where do I get the detailed procedure to find GCD of 972, 409, 625, 209?

You can find a detailed procedure to find GCD of 972, 409, 625, 209 on our page.

3. How to find GCD of 972, 409, 625, 209 on a calculator?

You can find the GCD of 972, 409, 625, 209 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.