GCD of 401, 369, 72, 971 Calculator

Given Input numbers are 401, 369, 72, 971

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

Divisors of 401

List of positive integer divisors of 401 that divides 401 without a remainder.

1, 401

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 971

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

1, 971

Greatest Common Divisior

We found the divisors of 401, 369, 72, 971 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 401, 369, 72, 971 is 1.

Therefore, GCD of numbers 401, 369, 72, 971 is 1

Given Input Data is 401, 369, 72, 971

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

Prime Factorization of 401 is 401

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 971 is 971

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(401, 369) = 147969

GCD(401, 369) = ( 401 x 369 ) / 147969

GCD(401, 369) = 147969 / 147969

GCD(401, 369) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 971

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

LCM(1, 971) = 971

GCD(1, 971) = ( 1 x 971 ) / 971

GCD(1, 971) = 971 / 971

GCD(1, 971) = 1

GCD of 401, 369, 72, 971 is 1

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• GCD of 485, 801, 29, 259
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• GCD of 406, 374, 16, 647
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• GCD of 904, 967, 38, 670

1. What is the GCD of 401, 369, 72, 971?

GCD of 401, 369, 72, 971 is 1

2. Where do I get the detailed procedure to find GCD of 401, 369, 72, 971?

You can find a detailed procedure to find GCD of 401, 369, 72, 971 on our page.

3. How to find GCD of 401, 369, 72, 971 on a calculator?

You can find the GCD of 401, 369, 72, 971 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.