GCD of 260, 156, 72, 159 Calculator

Given Input numbers are 260, 156, 72, 159

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

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

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 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 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Greatest Common Divisior

We found the divisors of 260, 156, 72, 159 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 260, 156, 72, 159 is 1.

Therefore, GCD of numbers 260, 156, 72, 159 is 1

Given Input Data is 260, 156, 72, 159

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

Prime Factorization of 260 is 2 x 2 x 5 x 13

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

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

Prime Factorization of 159 is 3 x 53

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(260, 156) = 780

GCD(260, 156) = ( 260 x 156 ) / 780

GCD(260, 156) = 40560 / 780

GCD(260, 156) = 52

Step2:

Here we consider the GCD from the above i.e. 52 as first number and the next as 72

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

LCM(52, 72) = 936

GCD(52, 72) = ( 52 x 72 ) / 936

GCD(52, 72) = 3744 / 936

GCD(52, 72) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 159

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

LCM(4, 159) = 636

GCD(4, 159) = ( 4 x 159 ) / 636

GCD(4, 159) = 636 / 636

GCD(4, 159) = 1

GCD of 260, 156, 72, 159 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 850, 643, 76, 143
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• GCD of 734, 319, 19, 786
• GCD of 803, 994, 74, 823
• GCD of 220, 493, 84, 304

1. What is the GCD of 260, 156, 72, 159?

GCD of 260, 156, 72, 159 is 1

2. Where do I get the detailed procedure to find GCD of 260, 156, 72, 159?

You can find a detailed procedure to find GCD of 260, 156, 72, 159 on our page.

3. How to find GCD of 260, 156, 72, 159 on a calculator?

You can find the GCD of 260, 156, 72, 159 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.