GCD of 372, 980, 783, 563 Calculator

Given Input numbers are 372, 980, 783, 563

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

Divisors of 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 783

List of positive integer divisors of 783 that divides 783 without a remainder.

1, 3, 9, 27, 29, 87, 261, 783

Divisors of 563

List of positive integer divisors of 563 that divides 563 without a remainder.

1, 563

Greatest Common Divisior

We found the divisors of 372, 980, 783, 563 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 372, 980, 783, 563 is 1.

Therefore, GCD of numbers 372, 980, 783, 563 is 1

Given Input Data is 372, 980, 783, 563

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

Prime Factorization of 372 is 2 x 2 x 3 x 31

Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7

Prime Factorization of 783 is 3 x 3 x 3 x 29

Prime Factorization of 563 is 563

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(372, 980) = 91140

GCD(372, 980) = ( 372 x 980 ) / 91140

GCD(372, 980) = 364560 / 91140

GCD(372, 980) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 783

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

LCM(4, 783) = 3132

GCD(4, 783) = ( 4 x 783 ) / 3132

GCD(4, 783) = 3132 / 3132

GCD(4, 783) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 563

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

LCM(1, 563) = 563

GCD(1, 563) = ( 1 x 563 ) / 563

GCD(1, 563) = 563 / 563

GCD(1, 563) = 1

GCD of 372, 980, 783, 563 is 1

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1. What is the GCD of 372, 980, 783, 563?

GCD of 372, 980, 783, 563 is 1

2. Where do I get the detailed procedure to find GCD of 372, 980, 783, 563?

You can find a detailed procedure to find GCD of 372, 980, 783, 563 on our page.

3. How to find GCD of 372, 980, 783, 563 on a calculator?

You can find the GCD of 372, 980, 783, 563 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.