GCD of 72, 218, 399, 757 Calculator

Given Input numbers are 72, 218, 399, 757

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

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Divisors of 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 757

List of positive integer divisors of 757 that divides 757 without a remainder.

1, 757

Greatest Common Divisior

We found the divisors of 72, 218, 399, 757 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 218, 399, 757 is 1.

Therefore, GCD of numbers 72, 218, 399, 757 is 1

Given Input Data is 72, 218, 399, 757

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

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 218 is 2 x 109

Prime Factorization of 399 is 3 x 7 x 19

Prime Factorization of 757 is 757

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(72, 218) = 7848

GCD(72, 218) = ( 72 x 218 ) / 7848

GCD(72, 218) = 15696 / 7848

GCD(72, 218) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 399

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

LCM(2, 399) = 798

GCD(2, 399) = ( 2 x 399 ) / 798

GCD(2, 399) = 798 / 798

GCD(2, 399) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 757

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

LCM(1, 757) = 757

GCD(1, 757) = ( 1 x 757 ) / 757

GCD(1, 757) = 757 / 757

GCD(1, 757) = 1

GCD of 72, 218, 399, 757 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 85, 963, 258, 149
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• GCD of 66, 829, 888, 635

1. What is the GCD of 72, 218, 399, 757?

GCD of 72, 218, 399, 757 is 1

2. Where do I get the detailed procedure to find GCD of 72, 218, 399, 757?

You can find a detailed procedure to find GCD of 72, 218, 399, 757 on our page.

3. How to find GCD of 72, 218, 399, 757 on a calculator?

You can find the GCD of 72, 218, 399, 757 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.