GCD of 560, 114, 50, 724 Calculator

Given Input numbers are 560, 114, 50, 724

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 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 724

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

1, 2, 4, 181, 362, 724

Greatest Common Divisior

We found the divisors of 560, 114, 50, 724 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 560, 114, 50, 724 is 2.

Therefore, GCD of numbers 560, 114, 50, 724 is 2

Given Input Data is 560, 114, 50, 724

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 114 is 2 x 3 x 19

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 724 is 2 x 2 x 181

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 114) = 31920

GCD(560, 114) = ( 560 x 114 ) / 31920

GCD(560, 114) = 63840 / 31920

GCD(560, 114) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 50

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

LCM(2, 50) = 50

GCD(2, 50) = ( 2 x 50 ) / 50

GCD(2, 50) = 100 / 50

GCD(2, 50) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 724

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

LCM(2, 724) = 724

GCD(2, 724) = ( 2 x 724 ) / 724

GCD(2, 724) = 1448 / 724

GCD(2, 724) = 2

GCD of 560, 114, 50, 724 is 2

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• GCD of 229, 436, 67, 899
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• GCD of 275, 533, 24, 924

1. What is the GCD of 560, 114, 50, 724?

GCD of 560, 114, 50, 724 is 2

2. Where do I get the detailed procedure to find GCD of 560, 114, 50, 724?

You can find a detailed procedure to find GCD of 560, 114, 50, 724 on our page.

3. How to find GCD of 560, 114, 50, 724 on a calculator?

You can find the GCD of 560, 114, 50, 724 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.