GCD of 852, 951, 560, 719 Calculator

Given Input numbers are 852, 951, 560, 719

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

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 951

List of positive integer divisors of 951 that divides 951 without a remainder.

1, 3, 317, 951

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 719

List of positive integer divisors of 719 that divides 719 without a remainder.

1, 719

Greatest Common Divisior

We found the divisors of 852, 951, 560, 719 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 852, 951, 560, 719 is 1.

Therefore, GCD of numbers 852, 951, 560, 719 is 1

Given Input Data is 852, 951, 560, 719

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

Prime Factorization of 852 is 2 x 2 x 3 x 71

Prime Factorization of 951 is 3 x 317

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 719 is 719

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(852, 951) = 270084

GCD(852, 951) = ( 852 x 951 ) / 270084

GCD(852, 951) = 810252 / 270084

GCD(852, 951) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 560

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

LCM(3, 560) = 1680

GCD(3, 560) = ( 3 x 560 ) / 1680

GCD(3, 560) = 1680 / 1680

GCD(3, 560) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 719

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

LCM(1, 719) = 719

GCD(1, 719) = ( 1 x 719 ) / 719

GCD(1, 719) = 719 / 719

GCD(1, 719) = 1

GCD of 852, 951, 560, 719 is 1

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1. What is the GCD of 852, 951, 560, 719?

GCD of 852, 951, 560, 719 is 1

2. Where do I get the detailed procedure to find GCD of 852, 951, 560, 719?

You can find a detailed procedure to find GCD of 852, 951, 560, 719 on our page.

3. How to find GCD of 852, 951, 560, 719 on a calculator?

You can find the GCD of 852, 951, 560, 719 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.