GCD of 121, 686, 378 Calculator

Given Input numbers are 121, 686, 378

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

Divisors of 121

List of positive integer divisors of 121 that divides 121 without a remainder.

1, 11, 121

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Greatest Common Divisior

We found the divisors of 121, 686, 378 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 121, 686, 378 is 1.

Therefore, GCD of numbers 121, 686, 378 is 1

Given Input Data is 121, 686, 378

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

Prime Factorization of 121 is 11 x 11

Prime Factorization of 686 is 2 x 7 x 7 x 7

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

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(121, 686) = 83006

GCD(121, 686) = ( 121 x 686 ) / 83006

GCD(121, 686) = 83006 / 83006

GCD(121, 686) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 378

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

LCM(1, 378) = 378

GCD(1, 378) = ( 1 x 378 ) / 378

GCD(1, 378) = 378 / 378

GCD(1, 378) = 1

GCD of 121, 686, 378 is 1

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1. What is the GCD of 121, 686, 378?

GCD of 121, 686, 378 is 1

2. Where do I get the detailed procedure to find GCD of 121, 686, 378?

You can find a detailed procedure to find GCD of 121, 686, 378 on our page.

3. How to find GCD of 121, 686, 378 on a calculator?

You can find the GCD of 121, 686, 378 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.