GCD of 460, 739, 313, 956 Calculator

Given Input numbers are 460, 739, 313, 956

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

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 739

List of positive integer divisors of 739 that divides 739 without a remainder.

1, 739

Divisors of 313

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

1, 313

Divisors of 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Greatest Common Divisior

We found the divisors of 460, 739, 313, 956 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 739, 313, 956 is 1.

Therefore, GCD of numbers 460, 739, 313, 956 is 1

Given Input Data is 460, 739, 313, 956

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

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 739 is 739

Prime Factorization of 313 is 313

Prime Factorization of 956 is 2 x 2 x 239

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(460, 739) = 339940

GCD(460, 739) = ( 460 x 739 ) / 339940

GCD(460, 739) = 339940 / 339940

GCD(460, 739) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 956

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

LCM(1, 956) = 956

GCD(1, 956) = ( 1 x 956 ) / 956

GCD(1, 956) = 956 / 956

GCD(1, 956) = 1

GCD of 460, 739, 313, 956 is 1

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1. What is the GCD of 460, 739, 313, 956?

GCD of 460, 739, 313, 956 is 1

2. Where do I get the detailed procedure to find GCD of 460, 739, 313, 956?

You can find a detailed procedure to find GCD of 460, 739, 313, 956 on our page.

3. How to find GCD of 460, 739, 313, 956 on a calculator?

You can find the GCD of 460, 739, 313, 956 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.