GCD of 137, 749, 364, 540 Calculator

Given Input numbers are 137, 749, 364, 540

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

Divisors of 137

List of positive integer divisors of 137 that divides 137 without a remainder.

1, 137

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Greatest Common Divisior

We found the divisors of 137, 749, 364, 540 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 137, 749, 364, 540 is 1.

Therefore, GCD of numbers 137, 749, 364, 540 is 1

Given Input Data is 137, 749, 364, 540

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

Prime Factorization of 137 is 137

Prime Factorization of 749 is 7 x 107

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

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(137, 749) = 102613

GCD(137, 749) = ( 137 x 749 ) / 102613

GCD(137, 749) = 102613 / 102613

GCD(137, 749) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 364

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

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

GCD(1, 364) = 364 / 364

GCD(1, 364) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 540

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

LCM(1, 540) = 540

GCD(1, 540) = ( 1 x 540 ) / 540

GCD(1, 540) = 540 / 540

GCD(1, 540) = 1

GCD of 137, 749, 364, 540 is 1

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1. What is the GCD of 137, 749, 364, 540?

GCD of 137, 749, 364, 540 is 1

2. Where do I get the detailed procedure to find GCD of 137, 749, 364, 540?

You can find a detailed procedure to find GCD of 137, 749, 364, 540 on our page.

3. How to find GCD of 137, 749, 364, 540 on a calculator?

You can find the GCD of 137, 749, 364, 540 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.