GCD of 122, 614, 972, 838 Calculator

Given Input numbers are 122, 614, 972, 838

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

Divisors of 122

List of positive integer divisors of 122 that divides 122 without a remainder.

1, 2, 61, 122

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Greatest Common Divisior

We found the divisors of 122, 614, 972, 838 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 122, 614, 972, 838 is 2.

Therefore, GCD of numbers 122, 614, 972, 838 is 2

Given Input Data is 122, 614, 972, 838

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

Prime Factorization of 122 is 2 x 61

Prime Factorization of 614 is 2 x 307

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 838 is 2 x 419

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(122, 614) = 37454

GCD(122, 614) = ( 122 x 614 ) / 37454

GCD(122, 614) = 74908 / 37454

GCD(122, 614) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 972

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

LCM(2, 972) = 972

GCD(2, 972) = ( 2 x 972 ) / 972

GCD(2, 972) = 1944 / 972

GCD(2, 972) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 838

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

LCM(2, 838) = 838

GCD(2, 838) = ( 2 x 838 ) / 838

GCD(2, 838) = 1676 / 838

GCD(2, 838) = 2

GCD of 122, 614, 972, 838 is 2

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1. What is the GCD of 122, 614, 972, 838?

GCD of 122, 614, 972, 838 is 2

2. Where do I get the detailed procedure to find GCD of 122, 614, 972, 838?

You can find a detailed procedure to find GCD of 122, 614, 972, 838 on our page.

3. How to find GCD of 122, 614, 972, 838 on a calculator?

You can find the GCD of 122, 614, 972, 838 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.