GCD of 971, 140, 71, 875 Calculator

Given Input numbers are 971, 140, 71, 875

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 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 875

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

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

Greatest Common Divisior

We found the divisors of 971, 140, 71, 875 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 971, 140, 71, 875 is 1.

Therefore, GCD of numbers 971, 140, 71, 875 is 1

Given Input Data is 971, 140, 71, 875

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

Prime Factorization of 971 is 971

Prime Factorization of 140 is 2 x 2 x 5 x 7

Prime Factorization of 71 is 71

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

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, 140) = 135940

GCD(971, 140) = ( 971 x 140 ) / 135940

GCD(971, 140) = 135940 / 135940

GCD(971, 140) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 875

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

LCM(1, 875) = 875

GCD(1, 875) = ( 1 x 875 ) / 875

GCD(1, 875) = 875 / 875

GCD(1, 875) = 1

GCD of 971, 140, 71, 875 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 604, 936, 57, 781
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• GCD of 671, 209, 61, 162

1. What is the GCD of 971, 140, 71, 875?

GCD of 971, 140, 71, 875 is 1

2. Where do I get the detailed procedure to find GCD of 971, 140, 71, 875?

You can find a detailed procedure to find GCD of 971, 140, 71, 875 on our page.

3. How to find GCD of 971, 140, 71, 875 on a calculator?

You can find the GCD of 971, 140, 71, 875 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.