GCD of 313, 875, 30, 976 Calculator

Given Input numbers are 313, 875, 30, 976

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

Divisors of 313

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

1, 313

Divisors of 875

List of positive integer divisors of 875 that divides 875 without a remainder.

1, 5, 7, 25, 35, 125, 175, 875

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Greatest Common Divisior

We found the divisors of 313, 875, 30, 976 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 313, 875, 30, 976 is 1.

Therefore, GCD of numbers 313, 875, 30, 976 is 1

Given Input Data is 313, 875, 30, 976

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

Prime Factorization of 313 is 313

Prime Factorization of 875 is 5 x 5 x 5 x 7

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

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(313, 875) = 273875

GCD(313, 875) = ( 313 x 875 ) / 273875

GCD(313, 875) = 273875 / 273875

GCD(313, 875) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 30

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

LCM(1, 30) = 30

GCD(1, 30) = ( 1 x 30 ) / 30

GCD(1, 30) = 30 / 30

GCD(1, 30) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 976

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

LCM(1, 976) = 976

GCD(1, 976) = ( 1 x 976 ) / 976

GCD(1, 976) = 976 / 976

GCD(1, 976) = 1

GCD of 313, 875, 30, 976 is 1

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• GCD of 802, 660, 85, 237
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1. What is the GCD of 313, 875, 30, 976?

GCD of 313, 875, 30, 976 is 1

2. Where do I get the detailed procedure to find GCD of 313, 875, 30, 976?

You can find a detailed procedure to find GCD of 313, 875, 30, 976 on our page.

3. How to find GCD of 313, 875, 30, 976 on a calculator?

You can find the GCD of 313, 875, 30, 976 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.