GCD of 152, 764, 774 Calculator

Given Input numbers are 152, 764, 774

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

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Greatest Common Divisior

We found the divisors of 152, 764, 774 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 152, 764, 774 is 2.

Therefore, GCD of numbers 152, 764, 774 is 2

Given Input Data is 152, 764, 774

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

Prime Factorization of 152 is 2 x 2 x 2 x 19

Prime Factorization of 764 is 2 x 2 x 191

Prime Factorization of 774 is 2 x 3 x 3 x 43

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(152, 764) = 29032

GCD(152, 764) = ( 152 x 764 ) / 29032

GCD(152, 764) = 116128 / 29032

GCD(152, 764) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 774

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

LCM(4, 774) = 1548

GCD(4, 774) = ( 4 x 774 ) / 1548

GCD(4, 774) = 3096 / 1548

GCD(4, 774) = 2

GCD of 152, 764, 774 is 2

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1. What is the GCD of 152, 764, 774?

GCD of 152, 764, 774 is 2

2. Where do I get the detailed procedure to find GCD of 152, 764, 774?

You can find a detailed procedure to find GCD of 152, 764, 774 on our page.

3. How to find GCD of 152, 764, 774 on a calculator?

You can find the GCD of 152, 764, 774 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.