GCD of 512, 268, 138, 122 Calculator

Given Input numbers are 512, 268, 138, 122

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

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

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 122

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

1, 2, 61, 122

Greatest Common Divisior

We found the divisors of 512, 268, 138, 122 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 512, 268, 138, 122 is 2.

Therefore, GCD of numbers 512, 268, 138, 122 is 2

Given Input Data is 512, 268, 138, 122

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

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 122 is 2 x 61

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(512, 268) = 34304

GCD(512, 268) = ( 512 x 268 ) / 34304

GCD(512, 268) = 137216 / 34304

GCD(512, 268) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 138

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

LCM(4, 138) = 276

GCD(4, 138) = ( 4 x 138 ) / 276

GCD(4, 138) = 552 / 276

GCD(4, 138) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 122

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

LCM(2, 122) = 122

GCD(2, 122) = ( 2 x 122 ) / 122

GCD(2, 122) = 244 / 122

GCD(2, 122) = 2

GCD of 512, 268, 138, 122 is 2

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1. What is the GCD of 512, 268, 138, 122?

GCD of 512, 268, 138, 122 is 2

2. Where do I get the detailed procedure to find GCD of 512, 268, 138, 122?

You can find a detailed procedure to find GCD of 512, 268, 138, 122 on our page.

3. How to find GCD of 512, 268, 138, 122 on a calculator?

You can find the GCD of 512, 268, 138, 122 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.