GCD of 741, 189, 970 Calculator

Given Input numbers are 741, 189, 970

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

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 970

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

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

Greatest Common Divisior

We found the divisors of 741, 189, 970 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 741, 189, 970 is 1.

Therefore, GCD of numbers 741, 189, 970 is 1

Given Input Data is 741, 189, 970

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

Prime Factorization of 741 is 3 x 13 x 19

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 970 is 2 x 5 x 97

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(741, 189) = 46683

GCD(741, 189) = ( 741 x 189 ) / 46683

GCD(741, 189) = 140049 / 46683

GCD(741, 189) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 970

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

LCM(3, 970) = 2910

GCD(3, 970) = ( 3 x 970 ) / 2910

GCD(3, 970) = 2910 / 2910

GCD(3, 970) = 1

GCD of 741, 189, 970 is 1

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1. What is the GCD of 741, 189, 970?

GCD of 741, 189, 970 is 1

2. Where do I get the detailed procedure to find GCD of 741, 189, 970?

You can find a detailed procedure to find GCD of 741, 189, 970 on our page.

3. How to find GCD of 741, 189, 970 on a calculator?

You can find the GCD of 741, 189, 970 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.