GCD of 103, 122, 976, 867 Calculator

Given Input numbers are 103, 122, 976, 867

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

Divisors of 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

Divisors of 122

List of positive integer divisors of 122 that divides 122 without a remainder.

1, 2, 61, 122

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

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Greatest Common Divisior

We found the divisors of 103, 122, 976, 867 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 103, 122, 976, 867 is 1.

Therefore, GCD of numbers 103, 122, 976, 867 is 1

Given Input Data is 103, 122, 976, 867

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

Prime Factorization of 103 is 103

Prime Factorization of 122 is 2 x 61

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

Prime Factorization of 867 is 3 x 17 x 17

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(103, 122) = 12566

GCD(103, 122) = ( 103 x 122 ) / 12566

GCD(103, 122) = 12566 / 12566

GCD(103, 122) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 867

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

LCM(1, 867) = 867

GCD(1, 867) = ( 1 x 867 ) / 867

GCD(1, 867) = 867 / 867

GCD(1, 867) = 1

GCD of 103, 122, 976, 867 is 1

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1. What is the GCD of 103, 122, 976, 867?

GCD of 103, 122, 976, 867 is 1

2. Where do I get the detailed procedure to find GCD of 103, 122, 976, 867?

You can find a detailed procedure to find GCD of 103, 122, 976, 867 on our page.

3. How to find GCD of 103, 122, 976, 867 on a calculator?

You can find the GCD of 103, 122, 976, 867 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.