GCD of 150, 977, 63, 309 Calculator

Given Input numbers are 150, 977, 63, 309

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

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 977

List of positive integer divisors of 977 that divides 977 without a remainder.

1, 977

Divisors of 63

List of positive integer divisors of 63 that divides 63 without a remainder.

1, 3, 7, 9, 21, 63

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 150, 977, 63, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 150, 977, 63, 309 is 1.

Therefore, GCD of numbers 150, 977, 63, 309 is 1

Given Input Data is 150, 977, 63, 309

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

Prime Factorization of 150 is 2 x 3 x 5 x 5

Prime Factorization of 977 is 977

Prime Factorization of 63 is 3 x 3 x 7

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(150, 977) = 146550

GCD(150, 977) = ( 150 x 977 ) / 146550

GCD(150, 977) = 146550 / 146550

GCD(150, 977) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 63

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

LCM(1, 63) = 63

GCD(1, 63) = ( 1 x 63 ) / 63

GCD(1, 63) = 63 / 63

GCD(1, 63) = 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 150, 977, 63, 309 is 1

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• GCD of 161, 485, 65, 394
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• GCD of 463, 590, 49, 750

1. What is the GCD of 150, 977, 63, 309?

GCD of 150, 977, 63, 309 is 1

2. Where do I get the detailed procedure to find GCD of 150, 977, 63, 309?

You can find a detailed procedure to find GCD of 150, 977, 63, 309 on our page.

3. How to find GCD of 150, 977, 63, 309 on a calculator?

You can find the GCD of 150, 977, 63, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.