GCD of 656, 958, 734, 567 Calculator

Given Input numbers are 656, 958, 734, 567

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

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

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 656, 958, 734, 567 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 656, 958, 734, 567 is 1.

Therefore, GCD of numbers 656, 958, 734, 567 is 1

Given Input Data is 656, 958, 734, 567

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

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 958 is 2 x 479

Prime Factorization of 734 is 2 x 367

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(656, 958) = 314224

GCD(656, 958) = ( 656 x 958 ) / 314224

GCD(656, 958) = 628448 / 314224

GCD(656, 958) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 734

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

LCM(2, 734) = 734

GCD(2, 734) = ( 2 x 734 ) / 734

GCD(2, 734) = 1468 / 734

GCD(2, 734) = 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 656, 958, 734, 567 is 1

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1. What is the GCD of 656, 958, 734, 567?

GCD of 656, 958, 734, 567 is 1

2. Where do I get the detailed procedure to find GCD of 656, 958, 734, 567?

You can find a detailed procedure to find GCD of 656, 958, 734, 567 on our page.

3. How to find GCD of 656, 958, 734, 567 on a calculator?

You can find the GCD of 656, 958, 734, 567 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.