GCD of 959, 200, 710, 313 Calculator

Given Input numbers are 959, 200, 710, 313

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

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 710

List of positive integer divisors of 710 that divides 710 without a remainder.

1, 2, 5, 10, 71, 142, 355, 710

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Greatest Common Divisior

We found the divisors of 959, 200, 710, 313 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 959, 200, 710, 313 is 1.

Therefore, GCD of numbers 959, 200, 710, 313 is 1

Given Input Data is 959, 200, 710, 313

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

Prime Factorization of 959 is 7 x 137

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 710 is 2 x 5 x 71

Prime Factorization of 313 is 313

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(959, 200) = 191800

GCD(959, 200) = ( 959 x 200 ) / 191800

GCD(959, 200) = 191800 / 191800

GCD(959, 200) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 710

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

LCM(1, 710) = 710

GCD(1, 710) = ( 1 x 710 ) / 710

GCD(1, 710) = 710 / 710

GCD(1, 710) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 313

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

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

GCD(1, 313) = 313 / 313

GCD(1, 313) = 1

GCD of 959, 200, 710, 313 is 1

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1. What is the GCD of 959, 200, 710, 313?

GCD of 959, 200, 710, 313 is 1

2. Where do I get the detailed procedure to find GCD of 959, 200, 710, 313?

You can find a detailed procedure to find GCD of 959, 200, 710, 313 on our page.

3. How to find GCD of 959, 200, 710, 313 on a calculator?

You can find the GCD of 959, 200, 710, 313 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.