GCD of 970, 726, 209 Calculator

Given Input numbers are 970, 726, 209

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

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 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Greatest Common Divisior

We found the divisors of 970, 726, 209 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 970, 726, 209 is 1.

Therefore, GCD of numbers 970, 726, 209 is 1

Given Input Data is 970, 726, 209

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

Prime Factorization of 970 is 2 x 5 x 97

Prime Factorization of 726 is 2 x 3 x 11 x 11

Prime Factorization of 209 is 11 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(970, 726) = 352110

GCD(970, 726) = ( 970 x 726 ) / 352110

GCD(970, 726) = 704220 / 352110

GCD(970, 726) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 209

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

LCM(2, 209) = 418

GCD(2, 209) = ( 2 x 209 ) / 418

GCD(2, 209) = 418 / 418

GCD(2, 209) = 1

GCD of 970, 726, 209 is 1

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1. What is the GCD of 970, 726, 209?

GCD of 970, 726, 209 is 1

2. Where do I get the detailed procedure to find GCD of 970, 726, 209?

You can find a detailed procedure to find GCD of 970, 726, 209 on our page.

3. How to find GCD of 970, 726, 209 on a calculator?

You can find the GCD of 970, 726, 209 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.