GCD of 768, 148, 922 Calculator

Given Input numbers are 768, 148, 922

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

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 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 922

List of positive integer divisors of 922 that divides 922 without a remainder.

1, 2, 461, 922

Greatest Common Divisior

We found the divisors of 768, 148, 922 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 768, 148, 922 is 2.

Therefore, GCD of numbers 768, 148, 922 is 2

Given Input Data is 768, 148, 922

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

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 148 is 2 x 2 x 37

Prime Factorization of 922 is 2 x 461

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(768, 148) = 28416

GCD(768, 148) = ( 768 x 148 ) / 28416

GCD(768, 148) = 113664 / 28416

GCD(768, 148) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 922

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

LCM(4, 922) = 1844

GCD(4, 922) = ( 4 x 922 ) / 1844

GCD(4, 922) = 3688 / 1844

GCD(4, 922) = 2

GCD of 768, 148, 922 is 2

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1. What is the GCD of 768, 148, 922?

GCD of 768, 148, 922 is 2

2. Where do I get the detailed procedure to find GCD of 768, 148, 922?

You can find a detailed procedure to find GCD of 768, 148, 922 on our page.

3. How to find GCD of 768, 148, 922 on a calculator?

You can find the GCD of 768, 148, 922 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.