GCD of 342, 261, 977, 109 Calculator

Given Input numbers are 342, 261, 977, 109

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

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Divisors of 977

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

1, 977

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Greatest Common Divisior

We found the divisors of 342, 261, 977, 109 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 342, 261, 977, 109 is 1.

Therefore, GCD of numbers 342, 261, 977, 109 is 1

Given Input Data is 342, 261, 977, 109

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

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 261 is 3 x 3 x 29

Prime Factorization of 977 is 977

Prime Factorization of 109 is 109

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(342, 261) = 9918

GCD(342, 261) = ( 342 x 261 ) / 9918

GCD(342, 261) = 89262 / 9918

GCD(342, 261) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 977

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

LCM(9, 977) = 8793

GCD(9, 977) = ( 9 x 977 ) / 8793

GCD(9, 977) = 8793 / 8793

GCD(9, 977) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 109

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

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

GCD(1, 109) = 109 / 109

GCD(1, 109) = 1

GCD of 342, 261, 977, 109 is 1

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1. What is the GCD of 342, 261, 977, 109?

GCD of 342, 261, 977, 109 is 1

2. Where do I get the detailed procedure to find GCD of 342, 261, 977, 109?

You can find a detailed procedure to find GCD of 342, 261, 977, 109 on our page.

3. How to find GCD of 342, 261, 977, 109 on a calculator?

You can find the GCD of 342, 261, 977, 109 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.