GCD of 250, 972, 29, 840 Calculator

Given Input numbers are 250, 972, 29, 840

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

Divisors of 250

List of positive integer divisors of 250 that divides 250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250

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 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Greatest Common Divisior

We found the divisors of 250, 972, 29, 840 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 250, 972, 29, 840 is 1.

Therefore, GCD of numbers 250, 972, 29, 840 is 1

Given Input Data is 250, 972, 29, 840

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

Prime Factorization of 250 is 2 x 5 x 5 x 5

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

Prime Factorization of 29 is 29

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

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(250, 972) = 121500

GCD(250, 972) = ( 250 x 972 ) / 121500

GCD(250, 972) = 243000 / 121500

GCD(250, 972) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 29

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

LCM(2, 29) = 58

GCD(2, 29) = ( 2 x 29 ) / 58

GCD(2, 29) = 58 / 58

GCD(2, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 840

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

LCM(1, 840) = 840

GCD(1, 840) = ( 1 x 840 ) / 840

GCD(1, 840) = 840 / 840

GCD(1, 840) = 1

GCD of 250, 972, 29, 840 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 350, 439, 14, 769
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• GCD of 567, 769, 95, 379

1. What is the GCD of 250, 972, 29, 840?

GCD of 250, 972, 29, 840 is 1

2. Where do I get the detailed procedure to find GCD of 250, 972, 29, 840?

You can find a detailed procedure to find GCD of 250, 972, 29, 840 on our page.

3. How to find GCD of 250, 972, 29, 840 on a calculator?

You can find the GCD of 250, 972, 29, 840 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.