GCD of 790, 780, 261, 315 Calculator

Given Input numbers are 790, 780, 261, 315

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

Divisors of 790

List of positive integer divisors of 790 that divides 790 without a remainder.

1, 2, 5, 10, 79, 158, 395, 790

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 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Greatest Common Divisior

We found the divisors of 790, 780, 261, 315 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 790, 780, 261, 315 is 1.

Therefore, GCD of numbers 790, 780, 261, 315 is 1

Given Input Data is 790, 780, 261, 315

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

Prime Factorization of 790 is 2 x 5 x 79

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

Prime Factorization of 261 is 3 x 3 x 29

Prime Factorization of 315 is 3 x 3 x 5 x 7

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(790, 780) = 61620

GCD(790, 780) = ( 790 x 780 ) / 61620

GCD(790, 780) = 616200 / 61620

GCD(790, 780) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 261

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

LCM(10, 261) = 2610

GCD(10, 261) = ( 10 x 261 ) / 2610

GCD(10, 261) = 2610 / 2610

GCD(10, 261) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 315

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

LCM(1, 315) = 315

GCD(1, 315) = ( 1 x 315 ) / 315

GCD(1, 315) = 315 / 315

GCD(1, 315) = 1

GCD of 790, 780, 261, 315 is 1

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1. What is the GCD of 790, 780, 261, 315?

GCD of 790, 780, 261, 315 is 1

2. Where do I get the detailed procedure to find GCD of 790, 780, 261, 315?

You can find a detailed procedure to find GCD of 790, 780, 261, 315 on our page.

3. How to find GCD of 790, 780, 261, 315 on a calculator?

You can find the GCD of 790, 780, 261, 315 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.