GCD of 971, 678, 794, 869 Calculator

Given Input numbers are 971, 678, 794, 869

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

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 794

List of positive integer divisors of 794 that divides 794 without a remainder.

1, 2, 397, 794

Divisors of 869

List of positive integer divisors of 869 that divides 869 without a remainder.

1, 11, 79, 869

Greatest Common Divisior

We found the divisors of 971, 678, 794, 869 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 971, 678, 794, 869 is 1.

Therefore, GCD of numbers 971, 678, 794, 869 is 1

Given Input Data is 971, 678, 794, 869

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

Prime Factorization of 971 is 971

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 794 is 2 x 397

Prime Factorization of 869 is 11 x 79

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(971, 678) = 658338

GCD(971, 678) = ( 971 x 678 ) / 658338

GCD(971, 678) = 658338 / 658338

GCD(971, 678) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 794

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

LCM(1, 794) = 794

GCD(1, 794) = ( 1 x 794 ) / 794

GCD(1, 794) = 794 / 794

GCD(1, 794) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 869

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

LCM(1, 869) = 869

GCD(1, 869) = ( 1 x 869 ) / 869

GCD(1, 869) = 869 / 869

GCD(1, 869) = 1

GCD of 971, 678, 794, 869 is 1

Here are some samples of GCD of Numbers calculations.

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1. What is the GCD of 971, 678, 794, 869?

GCD of 971, 678, 794, 869 is 1

2. Where do I get the detailed procedure to find GCD of 971, 678, 794, 869?

You can find a detailed procedure to find GCD of 971, 678, 794, 869 on our page.

3. How to find GCD of 971, 678, 794, 869 on a calculator?

You can find the GCD of 971, 678, 794, 869 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.