GCD of 138, 758, 698, 970 Calculator

Given Input numbers are 138, 758, 698, 970

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

Divisors of 138

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

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

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Greatest Common Divisior

We found the divisors of 138, 758, 698, 970 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 138, 758, 698, 970 is 2.

Therefore, GCD of numbers 138, 758, 698, 970 is 2

Given Input Data is 138, 758, 698, 970

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

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 758 is 2 x 379

Prime Factorization of 698 is 2 x 349

Prime Factorization of 970 is 2 x 5 x 97

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(138, 758) = 52302

GCD(138, 758) = ( 138 x 758 ) / 52302

GCD(138, 758) = 104604 / 52302

GCD(138, 758) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 698

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

LCM(2, 698) = 698

GCD(2, 698) = ( 2 x 698 ) / 698

GCD(2, 698) = 1396 / 698

GCD(2, 698) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 970

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

LCM(2, 970) = 970

GCD(2, 970) = ( 2 x 970 ) / 970

GCD(2, 970) = 1940 / 970

GCD(2, 970) = 2

GCD of 138, 758, 698, 970 is 2

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1. What is the GCD of 138, 758, 698, 970?

GCD of 138, 758, 698, 970 is 2

2. Where do I get the detailed procedure to find GCD of 138, 758, 698, 970?

You can find a detailed procedure to find GCD of 138, 758, 698, 970 on our page.

3. How to find GCD of 138, 758, 698, 970 on a calculator?

You can find the GCD of 138, 758, 698, 970 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.