GCD of 871, 682, 916, 976 Calculator

Given Input numbers are 871, 682, 916, 976

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

Divisors of 871

List of positive integer divisors of 871 that divides 871 without a remainder.

1, 13, 67, 871

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

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 871, 682, 916, 976 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 871, 682, 916, 976 is 1.

Therefore, GCD of numbers 871, 682, 916, 976 is 1

Given Input Data is 871, 682, 916, 976

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

Prime Factorization of 871 is 13 x 67

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 916 is 2 x 2 x 229

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(871, 682) = 594022

GCD(871, 682) = ( 871 x 682 ) / 594022

GCD(871, 682) = 594022 / 594022

GCD(871, 682) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 916

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

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

GCD(1, 916) = 916 / 916

GCD(1, 916) = 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 871, 682, 916, 976 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 227, 250, 129, 944
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• GCD of 503, 133, 979, 644
• GCD of 820, 670, 122, 717

1. What is the GCD of 871, 682, 916, 976?

GCD of 871, 682, 916, 976 is 1

2. Where do I get the detailed procedure to find GCD of 871, 682, 916, 976?

You can find a detailed procedure to find GCD of 871, 682, 916, 976 on our page.

3. How to find GCD of 871, 682, 916, 976 on a calculator?

You can find the GCD of 871, 682, 916, 976 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.