GCD of 724, 952, 254, 567 Calculator

Given Input numbers are 724, 952, 254, 567

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

Divisors of 724

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

1, 2, 4, 181, 362, 724

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Divisors of 567

List of positive integer divisors of 567 that divides 567 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Greatest Common Divisior

We found the divisors of 724, 952, 254, 567 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 952, 254, 567 is 1.

Therefore, GCD of numbers 724, 952, 254, 567 is 1

Given Input Data is 724, 952, 254, 567

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

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

Prime Factorization of 254 is 2 x 127

Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7

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(724, 952) = 172312

GCD(724, 952) = ( 724 x 952 ) / 172312

GCD(724, 952) = 689248 / 172312

GCD(724, 952) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 254

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

LCM(4, 254) = 508

GCD(4, 254) = ( 4 x 254 ) / 508

GCD(4, 254) = 1016 / 508

GCD(4, 254) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 567

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

LCM(2, 567) = 1134

GCD(2, 567) = ( 2 x 567 ) / 1134

GCD(2, 567) = 1134 / 1134

GCD(2, 567) = 1

GCD of 724, 952, 254, 567 is 1

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1. What is the GCD of 724, 952, 254, 567?

GCD of 724, 952, 254, 567 is 1

2. Where do I get the detailed procedure to find GCD of 724, 952, 254, 567?

You can find a detailed procedure to find GCD of 724, 952, 254, 567 on our page.

3. How to find GCD of 724, 952, 254, 567 on a calculator?

You can find the GCD of 724, 952, 254, 567 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.