GCD of 276, 768, 122 Calculator

Given Input numbers are 276, 768, 122

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

Divisors of 276

List of positive integer divisors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

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 276, 768, 122 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 276, 768, 122 is 2.

Therefore, GCD of numbers 276, 768, 122 is 2

Given Input Data is 276, 768, 122

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

Prime Factorization of 276 is 2 x 2 x 3 x 23

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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(276, 768) = 17664

GCD(276, 768) = ( 276 x 768 ) / 17664

GCD(276, 768) = 211968 / 17664

GCD(276, 768) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 122

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

LCM(12, 122) = 732

GCD(12, 122) = ( 12 x 122 ) / 732

GCD(12, 122) = 1464 / 732

GCD(12, 122) = 2

GCD of 276, 768, 122 is 2

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1. What is the GCD of 276, 768, 122?

GCD of 276, 768, 122 is 2

2. Where do I get the detailed procedure to find GCD of 276, 768, 122?

You can find a detailed procedure to find GCD of 276, 768, 122 on our page.

3. How to find GCD of 276, 768, 122 on a calculator?

You can find the GCD of 276, 768, 122 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.