GCD of 780, 306, 957, 232 Calculator

Given Input numbers are 780, 306, 957, 232

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

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

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 957

List of positive integer divisors of 957 that divides 957 without a remainder.

1, 3, 11, 29, 33, 87, 319, 957

Divisors of 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Greatest Common Divisior

We found the divisors of 780, 306, 957, 232 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 780, 306, 957, 232 is 1.

Therefore, GCD of numbers 780, 306, 957, 232 is 1

Given Input Data is 780, 306, 957, 232

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

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

Prime Factorization of 306 is 2 x 3 x 3 x 17

Prime Factorization of 957 is 3 x 11 x 29

Prime Factorization of 232 is 2 x 2 x 2 x 29

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(780, 306) = 39780

GCD(780, 306) = ( 780 x 306 ) / 39780

GCD(780, 306) = 238680 / 39780

GCD(780, 306) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 957

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

LCM(6, 957) = 1914

GCD(6, 957) = ( 6 x 957 ) / 1914

GCD(6, 957) = 5742 / 1914

GCD(6, 957) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 232

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

LCM(3, 232) = 696

GCD(3, 232) = ( 3 x 232 ) / 696

GCD(3, 232) = 696 / 696

GCD(3, 232) = 1

GCD of 780, 306, 957, 232 is 1

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1. What is the GCD of 780, 306, 957, 232?

GCD of 780, 306, 957, 232 is 1

2. Where do I get the detailed procedure to find GCD of 780, 306, 957, 232?

You can find a detailed procedure to find GCD of 780, 306, 957, 232 on our page.

3. How to find GCD of 780, 306, 957, 232 on a calculator?

You can find the GCD of 780, 306, 957, 232 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.