GCD of 980, 110, 95, 658 Calculator

Given Input numbers are 980, 110, 95, 658

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 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

Divisors of 95

List of positive integer divisors of 95 that divides 95 without a remainder.

1, 5, 19, 95

Divisors of 658

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

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

Greatest Common Divisior

We found the divisors of 980, 110, 95, 658 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 980, 110, 95, 658 is 1.

Therefore, GCD of numbers 980, 110, 95, 658 is 1

Given Input Data is 980, 110, 95, 658

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 110 is 2 x 5 x 11

Prime Factorization of 95 is 5 x 19

Prime Factorization of 658 is 2 x 7 x 47

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, 110) = 10780

GCD(980, 110) = ( 980 x 110 ) / 10780

GCD(980, 110) = 107800 / 10780

GCD(980, 110) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 95

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

LCM(10, 95) = 190

GCD(10, 95) = ( 10 x 95 ) / 190

GCD(10, 95) = 950 / 190

GCD(10, 95) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 658

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

LCM(5, 658) = 3290

GCD(5, 658) = ( 5 x 658 ) / 3290

GCD(5, 658) = 3290 / 3290

GCD(5, 658) = 1

GCD of 980, 110, 95, 658 is 1

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• GCD of 741, 598, 57, 366
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1. What is the GCD of 980, 110, 95, 658?

GCD of 980, 110, 95, 658 is 1

2. Where do I get the detailed procedure to find GCD of 980, 110, 95, 658?

You can find a detailed procedure to find GCD of 980, 110, 95, 658 on our page.

3. How to find GCD of 980, 110, 95, 658 on a calculator?

You can find the GCD of 980, 110, 95, 658 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.