GCD of 334, 156, 752 Calculator

Given Input numbers are 334, 156, 752

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

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Divisors of 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Greatest Common Divisior

We found the divisors of 334, 156, 752 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 334, 156, 752 is 2.

Therefore, GCD of numbers 334, 156, 752 is 2

Given Input Data is 334, 156, 752

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

Prime Factorization of 334 is 2 x 167

Prime Factorization of 156 is 2 x 2 x 3 x 13

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

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(334, 156) = 26052

GCD(334, 156) = ( 334 x 156 ) / 26052

GCD(334, 156) = 52104 / 26052

GCD(334, 156) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 752

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

LCM(2, 752) = 752

GCD(2, 752) = ( 2 x 752 ) / 752

GCD(2, 752) = 1504 / 752

GCD(2, 752) = 2

GCD of 334, 156, 752 is 2

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1. What is the GCD of 334, 156, 752?

GCD of 334, 156, 752 is 2

2. Where do I get the detailed procedure to find GCD of 334, 156, 752?

You can find a detailed procedure to find GCD of 334, 156, 752 on our page.

3. How to find GCD of 334, 156, 752 on a calculator?

You can find the GCD of 334, 156, 752 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.