GCD of 971, 109, 842, 143 Calculator

Given Input numbers are 971, 109, 842, 143

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 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Divisors of 143

List of positive integer divisors of 143 that divides 143 without a remainder.

1, 11, 13, 143

Greatest Common Divisior

We found the divisors of 971, 109, 842, 143 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 971, 109, 842, 143 is 1.

Therefore, GCD of numbers 971, 109, 842, 143 is 1

Given Input Data is 971, 109, 842, 143

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

Prime Factorization of 971 is 971

Prime Factorization of 109 is 109

Prime Factorization of 842 is 2 x 421

Prime Factorization of 143 is 11 x 13

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, 109) = 105839

GCD(971, 109) = ( 971 x 109 ) / 105839

GCD(971, 109) = 105839 / 105839

GCD(971, 109) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 842

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

LCM(1, 842) = 842

GCD(1, 842) = ( 1 x 842 ) / 842

GCD(1, 842) = 842 / 842

GCD(1, 842) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 143

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

LCM(1, 143) = 143

GCD(1, 143) = ( 1 x 143 ) / 143

GCD(1, 143) = 143 / 143

GCD(1, 143) = 1

GCD of 971, 109, 842, 143 is 1

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1. What is the GCD of 971, 109, 842, 143?

GCD of 971, 109, 842, 143 is 1

2. Where do I get the detailed procedure to find GCD of 971, 109, 842, 143?

You can find a detailed procedure to find GCD of 971, 109, 842, 143 on our page.

3. How to find GCD of 971, 109, 842, 143 on a calculator?

You can find the GCD of 971, 109, 842, 143 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.