GCD of 456, 984, 520, 747 Calculator

Given Input numbers are 456, 984, 520, 747

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

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Greatest Common Divisior

We found the divisors of 456, 984, 520, 747 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 456, 984, 520, 747 is 1.

Therefore, GCD of numbers 456, 984, 520, 747 is 1

Given Input Data is 456, 984, 520, 747

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

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

Prime Factorization of 747 is 3 x 3 x 83

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(456, 984) = 18696

GCD(456, 984) = ( 456 x 984 ) / 18696

GCD(456, 984) = 448704 / 18696

GCD(456, 984) = 24

Step2:

Here we consider the GCD from the above i.e. 24 as first number and the next as 520

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

LCM(24, 520) = 1560

GCD(24, 520) = ( 24 x 520 ) / 1560

GCD(24, 520) = 12480 / 1560

GCD(24, 520) = 8

Step3:

Here we consider the GCD from the above i.e. 8 as first number and the next as 747

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

LCM(8, 747) = 5976

GCD(8, 747) = ( 8 x 747 ) / 5976

GCD(8, 747) = 5976 / 5976

GCD(8, 747) = 1

GCD of 456, 984, 520, 747 is 1

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1. What is the GCD of 456, 984, 520, 747?

GCD of 456, 984, 520, 747 is 1

2. Where do I get the detailed procedure to find GCD of 456, 984, 520, 747?

You can find a detailed procedure to find GCD of 456, 984, 520, 747 on our page.

3. How to find GCD of 456, 984, 520, 747 on a calculator?

You can find the GCD of 456, 984, 520, 747 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.