GCD of 747, 309, 55, 908 Calculator

Given Input numbers are 747, 309, 55, 908

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

Divisors of 747

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

1, 3, 9, 83, 249, 747

Divisors of 309

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

1, 3, 103, 309

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Divisors of 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

Greatest Common Divisior

We found the divisors of 747, 309, 55, 908 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 747, 309, 55, 908 is 1.

Therefore, GCD of numbers 747, 309, 55, 908 is 1

Given Input Data is 747, 309, 55, 908

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

Prime Factorization of 747 is 3 x 3 x 83

Prime Factorization of 309 is 3 x 103

Prime Factorization of 55 is 5 x 11

Prime Factorization of 908 is 2 x 2 x 227

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(747, 309) = 76941

GCD(747, 309) = ( 747 x 309 ) / 76941

GCD(747, 309) = 230823 / 76941

GCD(747, 309) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 55

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

LCM(3, 55) = 165

GCD(3, 55) = ( 3 x 55 ) / 165

GCD(3, 55) = 165 / 165

GCD(3, 55) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 908

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

LCM(1, 908) = 908

GCD(1, 908) = ( 1 x 908 ) / 908

GCD(1, 908) = 908 / 908

GCD(1, 908) = 1

GCD of 747, 309, 55, 908 is 1

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1. What is the GCD of 747, 309, 55, 908?

GCD of 747, 309, 55, 908 is 1

2. Where do I get the detailed procedure to find GCD of 747, 309, 55, 908?

You can find a detailed procedure to find GCD of 747, 309, 55, 908 on our page.

3. How to find GCD of 747, 309, 55, 908 on a calculator?

You can find the GCD of 747, 309, 55, 908 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.