GCD of 976, 419, 52, 972 Calculator

Given Input numbers are 976, 419, 52, 972

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

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 419

List of positive integer divisors of 419 that divides 419 without a remainder.

1, 419

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Greatest Common Divisior

We found the divisors of 976, 419, 52, 972 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 976, 419, 52, 972 is 1.

Therefore, GCD of numbers 976, 419, 52, 972 is 1

Given Input Data is 976, 419, 52, 972

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

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 419 is 419

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

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(976, 419) = 408944

GCD(976, 419) = ( 976 x 419 ) / 408944

GCD(976, 419) = 408944 / 408944

GCD(976, 419) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 52

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

LCM(1, 52) = 52

GCD(1, 52) = ( 1 x 52 ) / 52

GCD(1, 52) = 52 / 52

GCD(1, 52) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 972

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

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

GCD(1, 972) = 972 / 972

GCD(1, 972) = 1

GCD of 976, 419, 52, 972 is 1

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1. What is the GCD of 976, 419, 52, 972?

GCD of 976, 419, 52, 972 is 1

2. Where do I get the detailed procedure to find GCD of 976, 419, 52, 972?

You can find a detailed procedure to find GCD of 976, 419, 52, 972 on our page.

3. How to find GCD of 976, 419, 52, 972 on a calculator?

You can find the GCD of 976, 419, 52, 972 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.