GCD of 156, 460, 675, 657 Calculator

Given Input numbers are 156, 460, 675, 657

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

Divisors of 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Greatest Common Divisior

We found the divisors of 156, 460, 675, 657 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 156, 460, 675, 657 is 1.

Therefore, GCD of numbers 156, 460, 675, 657 is 1

Given Input Data is 156, 460, 675, 657

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

Prime Factorization of 156 is 2 x 2 x 3 x 13

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

Prime Factorization of 657 is 3 x 3 x 73

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(156, 460) = 17940

GCD(156, 460) = ( 156 x 460 ) / 17940

GCD(156, 460) = 71760 / 17940

GCD(156, 460) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 675

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

LCM(4, 675) = 2700

GCD(4, 675) = ( 4 x 675 ) / 2700

GCD(4, 675) = 2700 / 2700

GCD(4, 675) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 657

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

LCM(1, 657) = 657

GCD(1, 657) = ( 1 x 657 ) / 657

GCD(1, 657) = 657 / 657

GCD(1, 657) = 1

GCD of 156, 460, 675, 657 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 947, 512, 678, 738
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• GCD of 448, 764, 566, 920

1. What is the GCD of 156, 460, 675, 657?

GCD of 156, 460, 675, 657 is 1

2. Where do I get the detailed procedure to find GCD of 156, 460, 675, 657?

You can find a detailed procedure to find GCD of 156, 460, 675, 657 on our page.

3. How to find GCD of 156, 460, 675, 657 on a calculator?

You can find the GCD of 156, 460, 675, 657 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.