GCD of 492, 864, 540, 757 Calculator

Given Input numbers are 492, 864, 540, 757

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

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

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

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 492, 864, 540, 757 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 492, 864, 540, 757 is 1.

Therefore, GCD of numbers 492, 864, 540, 757 is 1

Given Input Data is 492, 864, 540, 757

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

Prime Factorization of 492 is 2 x 2 x 3 x 41

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

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

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(492, 864) = 35424

GCD(492, 864) = ( 492 x 864 ) / 35424

GCD(492, 864) = 425088 / 35424

GCD(492, 864) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 540

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

LCM(12, 540) = 540

GCD(12, 540) = ( 12 x 540 ) / 540

GCD(12, 540) = 6480 / 540

GCD(12, 540) = 12

Step3:

Here we consider the GCD from the above i.e. 12 as first number and the next as 757

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

LCM(12, 757) = 9084

GCD(12, 757) = ( 12 x 757 ) / 9084

GCD(12, 757) = 9084 / 9084

GCD(12, 757) = 1

GCD of 492, 864, 540, 757 is 1

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1. What is the GCD of 492, 864, 540, 757?

GCD of 492, 864, 540, 757 is 1

2. Where do I get the detailed procedure to find GCD of 492, 864, 540, 757?

You can find a detailed procedure to find GCD of 492, 864, 540, 757 on our page.

3. How to find GCD of 492, 864, 540, 757 on a calculator?

You can find the GCD of 492, 864, 540, 757 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.