GCD of 501, 724, 614 Calculator

Given Input numbers are 501, 724, 614

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

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Divisors of 724

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

1, 2, 4, 181, 362, 724

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Greatest Common Divisior

We found the divisors of 501, 724, 614 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 501, 724, 614 is 1.

Therefore, GCD of numbers 501, 724, 614 is 1

Given Input Data is 501, 724, 614

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

Prime Factorization of 501 is 3 x 167

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 614 is 2 x 307

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(501, 724) = 362724

GCD(501, 724) = ( 501 x 724 ) / 362724

GCD(501, 724) = 362724 / 362724

GCD(501, 724) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 614

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

LCM(1, 614) = 614

GCD(1, 614) = ( 1 x 614 ) / 614

GCD(1, 614) = 614 / 614

GCD(1, 614) = 1

GCD of 501, 724, 614 is 1

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• GCD of 573, 813, 836
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1. What is the GCD of 501, 724, 614?

GCD of 501, 724, 614 is 1

2. Where do I get the detailed procedure to find GCD of 501, 724, 614?

You can find a detailed procedure to find GCD of 501, 724, 614 on our page.

3. How to find GCD of 501, 724, 614 on a calculator?

You can find the GCD of 501, 724, 614 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.