GCD of 306, 137, 651, 902 Calculator

Given Input numbers are 306, 137, 651, 902

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

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 137

List of positive integer divisors of 137 that divides 137 without a remainder.

1, 137

Divisors of 651

List of positive integer divisors of 651 that divides 651 without a remainder.

1, 3, 7, 21, 31, 93, 217, 651

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Greatest Common Divisior

We found the divisors of 306, 137, 651, 902 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 306, 137, 651, 902 is 1.

Therefore, GCD of numbers 306, 137, 651, 902 is 1

Given Input Data is 306, 137, 651, 902

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

Prime Factorization of 306 is 2 x 3 x 3 x 17

Prime Factorization of 137 is 137

Prime Factorization of 651 is 3 x 7 x 31

Prime Factorization of 902 is 2 x 11 x 41

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(306, 137) = 41922

GCD(306, 137) = ( 306 x 137 ) / 41922

GCD(306, 137) = 41922 / 41922

GCD(306, 137) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 651

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

LCM(1, 651) = 651

GCD(1, 651) = ( 1 x 651 ) / 651

GCD(1, 651) = 651 / 651

GCD(1, 651) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 902

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

LCM(1, 902) = 902

GCD(1, 902) = ( 1 x 902 ) / 902

GCD(1, 902) = 902 / 902

GCD(1, 902) = 1

GCD of 306, 137, 651, 902 is 1

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1. What is the GCD of 306, 137, 651, 902?

GCD of 306, 137, 651, 902 is 1

2. Where do I get the detailed procedure to find GCD of 306, 137, 651, 902?

You can find a detailed procedure to find GCD of 306, 137, 651, 902 on our page.

3. How to find GCD of 306, 137, 651, 902 on a calculator?

You can find the GCD of 306, 137, 651, 902 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.