GCD of 980, 553, 208 Calculator

Given Input numbers are 980, 553, 208

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 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Greatest Common Divisior

We found the divisors of 980, 553, 208 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 980, 553, 208 is 1.

Therefore, GCD of numbers 980, 553, 208 is 1

Given Input Data is 980, 553, 208

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 553 is 7 x 79

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

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, 553) = 77420

GCD(980, 553) = ( 980 x 553 ) / 77420

GCD(980, 553) = 541940 / 77420

GCD(980, 553) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 208

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

LCM(7, 208) = 1456

GCD(7, 208) = ( 7 x 208 ) / 1456

GCD(7, 208) = 1456 / 1456

GCD(7, 208) = 1

GCD of 980, 553, 208 is 1

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1. What is the GCD of 980, 553, 208?

GCD of 980, 553, 208 is 1

2. Where do I get the detailed procedure to find GCD of 980, 553, 208?

You can find a detailed procedure to find GCD of 980, 553, 208 on our page.

3. How to find GCD of 980, 553, 208 on a calculator?

You can find the GCD of 980, 553, 208 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.