GCD of 133, 749, 106, 980 Calculator

Given Input numbers are 133, 749, 106, 980

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

Divisors of 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

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

Greatest Common Divisior

We found the divisors of 133, 749, 106, 980 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 133, 749, 106, 980 is 1.

Therefore, GCD of numbers 133, 749, 106, 980 is 1

Given Input Data is 133, 749, 106, 980

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

Prime Factorization of 133 is 7 x 19

Prime Factorization of 749 is 7 x 107

Prime Factorization of 106 is 2 x 53

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

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(133, 749) = 14231

GCD(133, 749) = ( 133 x 749 ) / 14231

GCD(133, 749) = 99617 / 14231

GCD(133, 749) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 106

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

LCM(7, 106) = 742

GCD(7, 106) = ( 7 x 106 ) / 742

GCD(7, 106) = 742 / 742

GCD(7, 106) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 980

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

LCM(1, 980) = 980

GCD(1, 980) = ( 1 x 980 ) / 980

GCD(1, 980) = 980 / 980

GCD(1, 980) = 1

GCD of 133, 749, 106, 980 is 1

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1. What is the GCD of 133, 749, 106, 980?

GCD of 133, 749, 106, 980 is 1

2. Where do I get the detailed procedure to find GCD of 133, 749, 106, 980?

You can find a detailed procedure to find GCD of 133, 749, 106, 980 on our page.

3. How to find GCD of 133, 749, 106, 980 on a calculator?

You can find the GCD of 133, 749, 106, 980 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.