GCD of 627, 332, 763, 309 Calculator

Given Input numbers are 627, 332, 763, 309

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

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 332

List of positive integer divisors of 332 that divides 332 without a remainder.

1, 2, 4, 83, 166, 332

Divisors of 763

List of positive integer divisors of 763 that divides 763 without a remainder.

1, 7, 109, 763

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Greatest Common Divisior

We found the divisors of 627, 332, 763, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 627, 332, 763, 309 is 1.

Therefore, GCD of numbers 627, 332, 763, 309 is 1

Given Input Data is 627, 332, 763, 309

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

Prime Factorization of 627 is 3 x 11 x 19

Prime Factorization of 332 is 2 x 2 x 83

Prime Factorization of 763 is 7 x 109

Prime Factorization of 309 is 3 x 103

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(627, 332) = 208164

GCD(627, 332) = ( 627 x 332 ) / 208164

GCD(627, 332) = 208164 / 208164

GCD(627, 332) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 763

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

LCM(1, 763) = 763

GCD(1, 763) = ( 1 x 763 ) / 763

GCD(1, 763) = 763 / 763

GCD(1, 763) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 309

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

LCM(1, 309) = 309

GCD(1, 309) = ( 1 x 309 ) / 309

GCD(1, 309) = 309 / 309

GCD(1, 309) = 1

GCD of 627, 332, 763, 309 is 1

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1. What is the GCD of 627, 332, 763, 309?

GCD of 627, 332, 763, 309 is 1

2. Where do I get the detailed procedure to find GCD of 627, 332, 763, 309?

You can find a detailed procedure to find GCD of 627, 332, 763, 309 on our page.

3. How to find GCD of 627, 332, 763, 309 on a calculator?

You can find the GCD of 627, 332, 763, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.