GCD of 940, 972, 54, 453 Calculator

Given Input numbers are 940, 972, 54, 453

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

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

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

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 453

List of positive integer divisors of 453 that divides 453 without a remainder.

1, 3, 151, 453

Greatest Common Divisior

We found the divisors of 940, 972, 54, 453 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 940, 972, 54, 453 is 1.

Therefore, GCD of numbers 940, 972, 54, 453 is 1

Given Input Data is 940, 972, 54, 453

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

Prime Factorization of 940 is 2 x 2 x 5 x 47

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

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

Prime Factorization of 453 is 3 x 151

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(940, 972) = 228420

GCD(940, 972) = ( 940 x 972 ) / 228420

GCD(940, 972) = 913680 / 228420

GCD(940, 972) = 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 453

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

LCM(2, 453) = 906

GCD(2, 453) = ( 2 x 453 ) / 906

GCD(2, 453) = 906 / 906

GCD(2, 453) = 1

GCD of 940, 972, 54, 453 is 1

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1. What is the GCD of 940, 972, 54, 453?

GCD of 940, 972, 54, 453 is 1

2. Where do I get the detailed procedure to find GCD of 940, 972, 54, 453?

You can find a detailed procedure to find GCD of 940, 972, 54, 453 on our page.

3. How to find GCD of 940, 972, 54, 453 on a calculator?

You can find the GCD of 940, 972, 54, 453 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.