GCD of 91, 187, 458, 567 Calculator

Given Input numbers are 91, 187, 458, 567

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

Divisors of 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

Divisors of 187

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

1, 11, 17, 187

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

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 91, 187, 458, 567 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 91, 187, 458, 567 is 1.

Therefore, GCD of numbers 91, 187, 458, 567 is 1

Given Input Data is 91, 187, 458, 567

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

Prime Factorization of 91 is 7 x 13

Prime Factorization of 187 is 11 x 17

Prime Factorization of 458 is 2 x 229

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(91, 187) = 17017

GCD(91, 187) = ( 91 x 187 ) / 17017

GCD(91, 187) = 17017 / 17017

GCD(91, 187) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 458

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

LCM(1, 458) = 458

GCD(1, 458) = ( 1 x 458 ) / 458

GCD(1, 458) = 458 / 458

GCD(1, 458) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 567

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

LCM(1, 567) = 567

GCD(1, 567) = ( 1 x 567 ) / 567

GCD(1, 567) = 567 / 567

GCD(1, 567) = 1

GCD of 91, 187, 458, 567 is 1

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1. What is the GCD of 91, 187, 458, 567?

GCD of 91, 187, 458, 567 is 1

2. Where do I get the detailed procedure to find GCD of 91, 187, 458, 567?

You can find a detailed procedure to find GCD of 91, 187, 458, 567 on our page.

3. How to find GCD of 91, 187, 458, 567 on a calculator?

You can find the GCD of 91, 187, 458, 567 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.