GCD of 254, 627, 132, 747 Calculator

Given Input numbers are 254, 627, 132, 747

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

Divisors of 254

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

1, 2, 127, 254

Divisors of 627

List of positive integer divisors of 627 that divides 627 without a remainder.

1, 3, 11, 19, 33, 57, 209, 627

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Greatest Common Divisior

We found the divisors of 254, 627, 132, 747 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 254, 627, 132, 747 is 1.

Therefore, GCD of numbers 254, 627, 132, 747 is 1

Given Input Data is 254, 627, 132, 747

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

Prime Factorization of 254 is 2 x 127

Prime Factorization of 627 is 3 x 11 x 19

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 747 is 3 x 3 x 83

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(254, 627) = 159258

GCD(254, 627) = ( 254 x 627 ) / 159258

GCD(254, 627) = 159258 / 159258

GCD(254, 627) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 132

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

LCM(1, 132) = 132

GCD(1, 132) = ( 1 x 132 ) / 132

GCD(1, 132) = 132 / 132

GCD(1, 132) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 747

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

LCM(1, 747) = 747

GCD(1, 747) = ( 1 x 747 ) / 747

GCD(1, 747) = 747 / 747

GCD(1, 747) = 1

GCD of 254, 627, 132, 747 is 1

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1. What is the GCD of 254, 627, 132, 747?

GCD of 254, 627, 132, 747 is 1

2. Where do I get the detailed procedure to find GCD of 254, 627, 132, 747?

You can find a detailed procedure to find GCD of 254, 627, 132, 747 on our page.

3. How to find GCD of 254, 627, 132, 747 on a calculator?

You can find the GCD of 254, 627, 132, 747 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.