GCD of 152, 956, 301, 780 Calculator

Given Input numbers are 152, 956, 301, 780

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

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Greatest Common Divisior

We found the divisors of 152, 956, 301, 780 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 152, 956, 301, 780 is 1.

Therefore, GCD of numbers 152, 956, 301, 780 is 1

Given Input Data is 152, 956, 301, 780

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

Prime Factorization of 152 is 2 x 2 x 2 x 19

Prime Factorization of 956 is 2 x 2 x 239

Prime Factorization of 301 is 7 x 43

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

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(152, 956) = 36328

GCD(152, 956) = ( 152 x 956 ) / 36328

GCD(152, 956) = 145312 / 36328

GCD(152, 956) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 301

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

LCM(4, 301) = 1204

GCD(4, 301) = ( 4 x 301 ) / 1204

GCD(4, 301) = 1204 / 1204

GCD(4, 301) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 780

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

LCM(1, 780) = 780

GCD(1, 780) = ( 1 x 780 ) / 780

GCD(1, 780) = 780 / 780

GCD(1, 780) = 1

GCD of 152, 956, 301, 780 is 1

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1. What is the GCD of 152, 956, 301, 780?

GCD of 152, 956, 301, 780 is 1

2. Where do I get the detailed procedure to find GCD of 152, 956, 301, 780?

You can find a detailed procedure to find GCD of 152, 956, 301, 780 on our page.

3. How to find GCD of 152, 956, 301, 780 on a calculator?

You can find the GCD of 152, 956, 301, 780 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.