GCD of 980, 909, 726, 209 Calculator

Given Input numbers are 980, 909, 726, 209

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

Divisors of 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

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 980, 909, 726, 209 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 980, 909, 726, 209 is 1.

Therefore, GCD of numbers 980, 909, 726, 209 is 1

Given Input Data is 980, 909, 726, 209

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

Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7

Prime Factorization of 909 is 3 x 3 x 101

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(980, 909) = 890820

GCD(980, 909) = ( 980 x 909 ) / 890820

GCD(980, 909) = 890820 / 890820

GCD(980, 909) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 726

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

LCM(1, 726) = 726

GCD(1, 726) = ( 1 x 726 ) / 726

GCD(1, 726) = 726 / 726

GCD(1, 726) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 209

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

LCM(1, 209) = 209

GCD(1, 209) = ( 1 x 209 ) / 209

GCD(1, 209) = 209 / 209

GCD(1, 209) = 1

GCD of 980, 909, 726, 209 is 1

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1. What is the GCD of 980, 909, 726, 209?

GCD of 980, 909, 726, 209 is 1

2. Where do I get the detailed procedure to find GCD of 980, 909, 726, 209?

You can find a detailed procedure to find GCD of 980, 909, 726, 209 on our page.

3. How to find GCD of 980, 909, 726, 209 on a calculator?

You can find the GCD of 980, 909, 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.