GCD of 504, 212, 54, 961 Calculator

Given Input numbers are 504, 212, 54, 961

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

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Greatest Common Divisior

We found the divisors of 504, 212, 54, 961 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 504, 212, 54, 961 is 1.

Therefore, GCD of numbers 504, 212, 54, 961 is 1

Given Input Data is 504, 212, 54, 961

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

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 212 is 2 x 2 x 53

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 961 is 31 x 31

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(504, 212) = 26712

GCD(504, 212) = ( 504 x 212 ) / 26712

GCD(504, 212) = 106848 / 26712

GCD(504, 212) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 54

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

LCM(4, 54) = 108

GCD(4, 54) = ( 4 x 54 ) / 108

GCD(4, 54) = 216 / 108

GCD(4, 54) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 961

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

LCM(2, 961) = 1922

GCD(2, 961) = ( 2 x 961 ) / 1922

GCD(2, 961) = 1922 / 1922

GCD(2, 961) = 1

GCD of 504, 212, 54, 961 is 1

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• GCD of 552, 344, 33, 858
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• GCD of 791, 404, 50, 948

1. What is the GCD of 504, 212, 54, 961?

GCD of 504, 212, 54, 961 is 1

2. Where do I get the detailed procedure to find GCD of 504, 212, 54, 961?

You can find a detailed procedure to find GCD of 504, 212, 54, 961 on our page.

3. How to find GCD of 504, 212, 54, 961 on a calculator?

You can find the GCD of 504, 212, 54, 961 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.