GCD of 191, 970, 660, 742 Calculator

Given Input numbers are 191, 970, 660, 742

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

Divisors of 191

List of positive integer divisors of 191 that divides 191 without a remainder.

1, 191

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Greatest Common Divisior

We found the divisors of 191, 970, 660, 742 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 191, 970, 660, 742 is 1.

Therefore, GCD of numbers 191, 970, 660, 742 is 1

Given Input Data is 191, 970, 660, 742

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

Prime Factorization of 191 is 191

Prime Factorization of 970 is 2 x 5 x 97

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 742 is 2 x 7 x 53

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(191, 970) = 185270

GCD(191, 970) = ( 191 x 970 ) / 185270

GCD(191, 970) = 185270 / 185270

GCD(191, 970) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 660

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

LCM(1, 660) = 660

GCD(1, 660) = ( 1 x 660 ) / 660

GCD(1, 660) = 660 / 660

GCD(1, 660) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 742

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

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

GCD(1, 742) = 742 / 742

GCD(1, 742) = 1

GCD of 191, 970, 660, 742 is 1

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1. What is the GCD of 191, 970, 660, 742?

GCD of 191, 970, 660, 742 is 1

2. Where do I get the detailed procedure to find GCD of 191, 970, 660, 742?

You can find a detailed procedure to find GCD of 191, 970, 660, 742 on our page.

3. How to find GCD of 191, 970, 660, 742 on a calculator?

You can find the GCD of 191, 970, 660, 742 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.