GCD of 314, 977, 87, 976 Calculator

Given Input numbers are 314, 977, 87, 976

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

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 977

List of positive integer divisors of 977 that divides 977 without a remainder.

1, 977

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

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 314, 977, 87, 976 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 314, 977, 87, 976 is 1.

Therefore, GCD of numbers 314, 977, 87, 976 is 1

Given Input Data is 314, 977, 87, 976

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

Prime Factorization of 314 is 2 x 157

Prime Factorization of 977 is 977

Prime Factorization of 87 is 3 x 29

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(314, 977) = 306778

GCD(314, 977) = ( 314 x 977 ) / 306778

GCD(314, 977) = 306778 / 306778

GCD(314, 977) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 87

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

LCM(1, 87) = 87

GCD(1, 87) = ( 1 x 87 ) / 87

GCD(1, 87) = 87 / 87

GCD(1, 87) = 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 314, 977, 87, 976 is 1

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1. What is the GCD of 314, 977, 87, 976?

GCD of 314, 977, 87, 976 is 1

2. Where do I get the detailed procedure to find GCD of 314, 977, 87, 976?

You can find a detailed procedure to find GCD of 314, 977, 87, 976 on our page.

3. How to find GCD of 314, 977, 87, 976 on a calculator?

You can find the GCD of 314, 977, 87, 976 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.