GCD of 560, 264, 724, 187 Calculator

Given Input numbers are 560, 264, 724, 187

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

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

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Divisors of 187

List of positive integer divisors of 187 that divides 187 without a remainder.

1, 11, 17, 187

Greatest Common Divisior

We found the divisors of 560, 264, 724, 187 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 560, 264, 724, 187 is 1.

Therefore, GCD of numbers 560, 264, 724, 187 is 1

Given Input Data is 560, 264, 724, 187

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

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 187 is 11 x 17

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(560, 264) = 18480

GCD(560, 264) = ( 560 x 264 ) / 18480

GCD(560, 264) = 147840 / 18480

GCD(560, 264) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 724

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

LCM(8, 724) = 1448

GCD(8, 724) = ( 8 x 724 ) / 1448

GCD(8, 724) = 5792 / 1448

GCD(8, 724) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 187

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

LCM(4, 187) = 748

GCD(4, 187) = ( 4 x 187 ) / 748

GCD(4, 187) = 748 / 748

GCD(4, 187) = 1

GCD of 560, 264, 724, 187 is 1

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1. What is the GCD of 560, 264, 724, 187?

GCD of 560, 264, 724, 187 is 1

2. Where do I get the detailed procedure to find GCD of 560, 264, 724, 187?

You can find a detailed procedure to find GCD of 560, 264, 724, 187 on our page.

3. How to find GCD of 560, 264, 724, 187 on a calculator?

You can find the GCD of 560, 264, 724, 187 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.