GCD of 345, 959, 31, 724 Calculator

Given Input numbers are 345, 959, 31, 724

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

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 959

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

1, 7, 137, 959

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Greatest Common Divisior

We found the divisors of 345, 959, 31, 724 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 959, 31, 724 is 1.

Therefore, GCD of numbers 345, 959, 31, 724 is 1

Given Input Data is 345, 959, 31, 724

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

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 959 is 7 x 137

Prime Factorization of 31 is 31

Prime Factorization of 724 is 2 x 2 x 181

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(345, 959) = 330855

GCD(345, 959) = ( 345 x 959 ) / 330855

GCD(345, 959) = 330855 / 330855

GCD(345, 959) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 724

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

LCM(1, 724) = 724

GCD(1, 724) = ( 1 x 724 ) / 724

GCD(1, 724) = 724 / 724

GCD(1, 724) = 1

GCD of 345, 959, 31, 724 is 1

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1. What is the GCD of 345, 959, 31, 724?

GCD of 345, 959, 31, 724 is 1

2. Where do I get the detailed procedure to find GCD of 345, 959, 31, 724?

You can find a detailed procedure to find GCD of 345, 959, 31, 724 on our page.

3. How to find GCD of 345, 959, 31, 724 on a calculator?

You can find the GCD of 345, 959, 31, 724 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.