GCD of 980, 658, 21, 197 Calculator

Given Input numbers are 980, 658, 21, 197

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 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 197

List of positive integer divisors of 197 that divides 197 without a remainder.

1, 197

Greatest Common Divisior

We found the divisors of 980, 658, 21, 197 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 980, 658, 21, 197 is 1.

Therefore, GCD of numbers 980, 658, 21, 197 is 1

Given Input Data is 980, 658, 21, 197

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 658 is 2 x 7 x 47

Prime Factorization of 21 is 3 x 7

Prime Factorization of 197 is 197

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, 658) = 46060

GCD(980, 658) = ( 980 x 658 ) / 46060

GCD(980, 658) = 644840 / 46060

GCD(980, 658) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 21

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

LCM(14, 21) = 42

GCD(14, 21) = ( 14 x 21 ) / 42

GCD(14, 21) = 294 / 42

GCD(14, 21) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 197

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

LCM(7, 197) = 1379

GCD(7, 197) = ( 7 x 197 ) / 1379

GCD(7, 197) = 1379 / 1379

GCD(7, 197) = 1

GCD of 980, 658, 21, 197 is 1

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• GCD of 553, 203, 10, 414
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• GCD of 835, 817, 42, 414

1. What is the GCD of 980, 658, 21, 197?

GCD of 980, 658, 21, 197 is 1

2. Where do I get the detailed procedure to find GCD of 980, 658, 21, 197?

You can find a detailed procedure to find GCD of 980, 658, 21, 197 on our page.

3. How to find GCD of 980, 658, 21, 197 on a calculator?

You can find the GCD of 980, 658, 21, 197 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.