GCD of 364, 572, 540, 560 Calculator

Given Input numbers are 364, 572, 540, 560

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

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 572

List of positive integer divisors of 572 that divides 572 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

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 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Greatest Common Divisior

We found the divisors of 364, 572, 540, 560 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 364, 572, 540, 560 is 4.

Therefore, GCD of numbers 364, 572, 540, 560 is 4

Given Input Data is 364, 572, 540, 560

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

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 572 is 2 x 2 x 11 x 13

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

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 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(364, 572) = 4004

GCD(364, 572) = ( 364 x 572 ) / 4004

GCD(364, 572) = 208208 / 4004

GCD(364, 572) = 52

Step2:

Here we consider the GCD from the above i.e. 52 as first number and the next as 540

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

LCM(52, 540) = 7020

GCD(52, 540) = ( 52 x 540 ) / 7020

GCD(52, 540) = 28080 / 7020

GCD(52, 540) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 560

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

LCM(4, 560) = 560

GCD(4, 560) = ( 4 x 560 ) / 560

GCD(4, 560) = 2240 / 560

GCD(4, 560) = 4

GCD of 364, 572, 540, 560 is 4

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1. What is the GCD of 364, 572, 540, 560?

GCD of 364, 572, 540, 560 is 4

2. Where do I get the detailed procedure to find GCD of 364, 572, 540, 560?

You can find a detailed procedure to find GCD of 364, 572, 540, 560 on our page.

3. How to find GCD of 364, 572, 540, 560 on a calculator?

You can find the GCD of 364, 572, 540, 560 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.