GCD of 540, 996, 592, 980 Calculator

Given Input numbers are 540, 996, 592, 980

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

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 592

List of positive integer divisors of 592 that divides 592 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

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

Greatest Common Divisior

We found the divisors of 540, 996, 592, 980 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 540, 996, 592, 980 is 4.

Therefore, GCD of numbers 540, 996, 592, 980 is 4

Given Input Data is 540, 996, 592, 980

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

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37

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

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(540, 996) = 44820

GCD(540, 996) = ( 540 x 996 ) / 44820

GCD(540, 996) = 537840 / 44820

GCD(540, 996) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 592

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

LCM(12, 592) = 1776

GCD(12, 592) = ( 12 x 592 ) / 1776

GCD(12, 592) = 7104 / 1776

GCD(12, 592) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 980

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

LCM(4, 980) = 980

GCD(4, 980) = ( 4 x 980 ) / 980

GCD(4, 980) = 3920 / 980

GCD(4, 980) = 4

GCD of 540, 996, 592, 980 is 4

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1. What is the GCD of 540, 996, 592, 980?

GCD of 540, 996, 592, 980 is 4

2. Where do I get the detailed procedure to find GCD of 540, 996, 592, 980?

You can find a detailed procedure to find GCD of 540, 996, 592, 980 on our page.

3. How to find GCD of 540, 996, 592, 980 on a calculator?

You can find the GCD of 540, 996, 592, 980 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.