GCD of 121, 198, 657, 760 Calculator

Given Input numbers are 121, 198, 657, 760

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 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Greatest Common Divisior

We found the divisors of 121, 198, 657, 760 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 121, 198, 657, 760 is 1.

Therefore, GCD of numbers 121, 198, 657, 760 is 1

Given Input Data is 121, 198, 657, 760

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

Prime Factorization of 121 is 11 x 11

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

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, 198) = 2178

GCD(121, 198) = ( 121 x 198 ) / 2178

GCD(121, 198) = 23958 / 2178

GCD(121, 198) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 657

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

LCM(11, 657) = 7227

GCD(11, 657) = ( 11 x 657 ) / 7227

GCD(11, 657) = 7227 / 7227

GCD(11, 657) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 760

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

LCM(1, 760) = 760

GCD(1, 760) = ( 1 x 760 ) / 760

GCD(1, 760) = 760 / 760

GCD(1, 760) = 1

GCD of 121, 198, 657, 760 is 1

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1. What is the GCD of 121, 198, 657, 760?

GCD of 121, 198, 657, 760 is 1

2. Where do I get the detailed procedure to find GCD of 121, 198, 657, 760?

You can find a detailed procedure to find GCD of 121, 198, 657, 760 on our page.

3. How to find GCD of 121, 198, 657, 760 on a calculator?

You can find the GCD of 121, 198, 657, 760 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.