GCD of 872, 600, 119, 697 Calculator

Given Input numbers are 872, 600, 119, 697

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 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Divisors of 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Greatest Common Divisior

We found the divisors of 872, 600, 119, 697 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 872, 600, 119, 697 is 1.

Therefore, GCD of numbers 872, 600, 119, 697 is 1

Given Input Data is 872, 600, 119, 697

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 600 is 2 x 2 x 2 x 3 x 5 x 5

Prime Factorization of 119 is 7 x 17

Prime Factorization of 697 is 17 x 41

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, 600) = 65400

GCD(872, 600) = ( 872 x 600 ) / 65400

GCD(872, 600) = 523200 / 65400

GCD(872, 600) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 119

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

LCM(8, 119) = 952

GCD(8, 119) = ( 8 x 119 ) / 952

GCD(8, 119) = 952 / 952

GCD(8, 119) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 697

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

LCM(1, 697) = 697

GCD(1, 697) = ( 1 x 697 ) / 697

GCD(1, 697) = 697 / 697

GCD(1, 697) = 1

GCD of 872, 600, 119, 697 is 1

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1. What is the GCD of 872, 600, 119, 697?

GCD of 872, 600, 119, 697 is 1

2. Where do I get the detailed procedure to find GCD of 872, 600, 119, 697?

You can find a detailed procedure to find GCD of 872, 600, 119, 697 on our page.

3. How to find GCD of 872, 600, 119, 697 on a calculator?

You can find the GCD of 872, 600, 119, 697 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.