GCD of 772, 254, 158 Calculator

Given Input numbers are 772, 254, 158

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

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Divisors of 158

List of positive integer divisors of 158 that divides 158 without a remainder.

1, 2, 79, 158

Greatest Common Divisior

We found the divisors of 772, 254, 158 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 772, 254, 158 is 2.

Therefore, GCD of numbers 772, 254, 158 is 2

Given Input Data is 772, 254, 158

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

Prime Factorization of 772 is 2 x 2 x 193

Prime Factorization of 254 is 2 x 127

Prime Factorization of 158 is 2 x 79

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(772, 254) = 98044

GCD(772, 254) = ( 772 x 254 ) / 98044

GCD(772, 254) = 196088 / 98044

GCD(772, 254) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 158

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

LCM(2, 158) = 158

GCD(2, 158) = ( 2 x 158 ) / 158

GCD(2, 158) = 316 / 158

GCD(2, 158) = 2

GCD of 772, 254, 158 is 2

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1. What is the GCD of 772, 254, 158?

GCD of 772, 254, 158 is 2

2. Where do I get the detailed procedure to find GCD of 772, 254, 158?

You can find a detailed procedure to find GCD of 772, 254, 158 on our page.

3. How to find GCD of 772, 254, 158 on a calculator?

You can find the GCD of 772, 254, 158 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.