GCD of 180, 840, 572, 560 Calculator

Given Input numbers are 180, 840, 572, 560

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

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

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 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 180, 840, 572, 560 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 840, 572, 560 is 4.

Therefore, GCD of numbers 180, 840, 572, 560 is 4

Given Input Data is 180, 840, 572, 560

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

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

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

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(180, 840) = 2520

GCD(180, 840) = ( 180 x 840 ) / 2520

GCD(180, 840) = 151200 / 2520

GCD(180, 840) = 60

Step2:

Here we consider the GCD from the above i.e. 60 as first number and the next as 572

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

LCM(60, 572) = 8580

GCD(60, 572) = ( 60 x 572 ) / 8580

GCD(60, 572) = 34320 / 8580

GCD(60, 572) = 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 180, 840, 572, 560 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 347, 177, 722, 158
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• GCD of 924, 442, 208, 928
• GCD of 556, 547, 972, 186
• GCD of 783, 743, 303, 245

1. What is the GCD of 180, 840, 572, 560?

GCD of 180, 840, 572, 560 is 4

2. Where do I get the detailed procedure to find GCD of 180, 840, 572, 560?

You can find a detailed procedure to find GCD of 180, 840, 572, 560 on our page.

3. How to find GCD of 180, 840, 572, 560 on a calculator?

You can find the GCD of 180, 840, 572, 560 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.