GCD of 980, 693, 809 Calculator

Given Input numbers are 980, 693, 809

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 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 809

List of positive integer divisors of 809 that divides 809 without a remainder.

1, 809

Greatest Common Divisior

We found the divisors of 980, 693, 809 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 980, 693, 809 is 1.

Therefore, GCD of numbers 980, 693, 809 is 1

Given Input Data is 980, 693, 809

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 693 is 3 x 3 x 7 x 11

Prime Factorization of 809 is 809

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, 693) = 97020

GCD(980, 693) = ( 980 x 693 ) / 97020

GCD(980, 693) = 679140 / 97020

GCD(980, 693) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 809

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

LCM(7, 809) = 5663

GCD(7, 809) = ( 7 x 809 ) / 5663

GCD(7, 809) = 5663 / 5663

GCD(7, 809) = 1

GCD of 980, 693, 809 is 1

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1. What is the GCD of 980, 693, 809?

GCD of 980, 693, 809 is 1

2. Where do I get the detailed procedure to find GCD of 980, 693, 809?

You can find a detailed procedure to find GCD of 980, 693, 809 on our page.

3. How to find GCD of 980, 693, 809 on a calculator?

You can find the GCD of 980, 693, 809 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.