GCD of 971, 168, 130, 165 Calculator

Given Input numbers are 971, 168, 130, 165

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 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 130

List of positive integer divisors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Greatest Common Divisior

We found the divisors of 971, 168, 130, 165 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 971, 168, 130, 165 is 1.

Therefore, GCD of numbers 971, 168, 130, 165 is 1

Given Input Data is 971, 168, 130, 165

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

Prime Factorization of 971 is 971

Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7

Prime Factorization of 130 is 2 x 5 x 13

Prime Factorization of 165 is 3 x 5 x 11

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, 168) = 163128

GCD(971, 168) = ( 971 x 168 ) / 163128

GCD(971, 168) = 163128 / 163128

GCD(971, 168) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 130

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

LCM(1, 130) = 130

GCD(1, 130) = ( 1 x 130 ) / 130

GCD(1, 130) = 130 / 130

GCD(1, 130) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 165

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

LCM(1, 165) = 165

GCD(1, 165) = ( 1 x 165 ) / 165

GCD(1, 165) = 165 / 165

GCD(1, 165) = 1

GCD of 971, 168, 130, 165 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 173, 300, 970, 300
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• GCD of 644, 973, 630, 570
• GCD of 204, 131, 965, 816

1. What is the GCD of 971, 168, 130, 165?

GCD of 971, 168, 130, 165 is 1

2. Where do I get the detailed procedure to find GCD of 971, 168, 130, 165?

You can find a detailed procedure to find GCD of 971, 168, 130, 165 on our page.

3. How to find GCD of 971, 168, 130, 165 on a calculator?

You can find the GCD of 971, 168, 130, 165 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.