GCD of 876, 420, 715, 913 Calculator

Given Input numbers are 876, 420, 715, 913

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

Divisors of 876

List of positive integer divisors of 876 that divides 876 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 715

List of positive integer divisors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

Divisors of 913

List of positive integer divisors of 913 that divides 913 without a remainder.

1, 11, 83, 913

Greatest Common Divisior

We found the divisors of 876, 420, 715, 913 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 876, 420, 715, 913 is 1.

Therefore, GCD of numbers 876, 420, 715, 913 is 1

Given Input Data is 876, 420, 715, 913

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

Prime Factorization of 876 is 2 x 2 x 3 x 73

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 715 is 5 x 11 x 13

Prime Factorization of 913 is 11 x 83

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(876, 420) = 30660

GCD(876, 420) = ( 876 x 420 ) / 30660

GCD(876, 420) = 367920 / 30660

GCD(876, 420) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 715

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

LCM(12, 715) = 8580

GCD(12, 715) = ( 12 x 715 ) / 8580

GCD(12, 715) = 8580 / 8580

GCD(12, 715) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 913

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

LCM(1, 913) = 913

GCD(1, 913) = ( 1 x 913 ) / 913

GCD(1, 913) = 913 / 913

GCD(1, 913) = 1

GCD of 876, 420, 715, 913 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 691, 579, 979, 918
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• GCD of 918, 354, 909, 159

1. What is the GCD of 876, 420, 715, 913?

GCD of 876, 420, 715, 913 is 1

2. Where do I get the detailed procedure to find GCD of 876, 420, 715, 913?

You can find a detailed procedure to find GCD of 876, 420, 715, 913 on our page.

3. How to find GCD of 876, 420, 715, 913 on a calculator?

You can find the GCD of 876, 420, 715, 913 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.