GCD of 980, 726, 68, 138 Calculator

Given Input numbers are 980, 726, 68, 138

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 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Greatest Common Divisior

We found the divisors of 980, 726, 68, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 980, 726, 68, 138 is 2.

Therefore, GCD of numbers 980, 726, 68, 138 is 2

Given Input Data is 980, 726, 68, 138

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 726 is 2 x 3 x 11 x 11

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 138 is 2 x 3 x 23

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 726) = 355740

GCD(980, 726) = ( 980 x 726 ) / 355740

GCD(980, 726) = 711480 / 355740

GCD(980, 726) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 68

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

LCM(2, 68) = 68

GCD(2, 68) = ( 2 x 68 ) / 68

GCD(2, 68) = 136 / 68

GCD(2, 68) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 138

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

LCM(2, 138) = 138

GCD(2, 138) = ( 2 x 138 ) / 138

GCD(2, 138) = 276 / 138

GCD(2, 138) = 2

GCD of 980, 726, 68, 138 is 2

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1. What is the GCD of 980, 726, 68, 138?

GCD of 980, 726, 68, 138 is 2

2. Where do I get the detailed procedure to find GCD of 980, 726, 68, 138?

You can find a detailed procedure to find GCD of 980, 726, 68, 138 on our page.

3. How to find GCD of 980, 726, 68, 138 on a calculator?

You can find the GCD of 980, 726, 68, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.