GCD of 872, 760, 78, 607 Calculator

Given Input numbers are 872, 760, 78, 607

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

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 607

List of positive integer divisors of 607 that divides 607 without a remainder.

1, 607

Greatest Common Divisior

We found the divisors of 872, 760, 78, 607 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 872, 760, 78, 607 is 1.

Therefore, GCD of numbers 872, 760, 78, 607 is 1

Given Input Data is 872, 760, 78, 607

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

Prime Factorization of 872 is 2 x 2 x 2 x 109

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 607 is 607

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(872, 760) = 82840

GCD(872, 760) = ( 872 x 760 ) / 82840

GCD(872, 760) = 662720 / 82840

GCD(872, 760) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 78

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

LCM(8, 78) = 312

GCD(8, 78) = ( 8 x 78 ) / 312

GCD(8, 78) = 624 / 312

GCD(8, 78) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 607

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

LCM(2, 607) = 1214

GCD(2, 607) = ( 2 x 607 ) / 1214

GCD(2, 607) = 1214 / 1214

GCD(2, 607) = 1

GCD of 872, 760, 78, 607 is 1

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1. What is the GCD of 872, 760, 78, 607?

GCD of 872, 760, 78, 607 is 1

2. Where do I get the detailed procedure to find GCD of 872, 760, 78, 607?

You can find a detailed procedure to find GCD of 872, 760, 78, 607 on our page.

3. How to find GCD of 872, 760, 78, 607 on a calculator?

You can find the GCD of 872, 760, 78, 607 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.