GCD of 114, 156, 726 Calculator

Given Input numbers are 114, 156, 726

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

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

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 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Greatest Common Divisior

We found the divisors of 114, 156, 726 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 114, 156, 726 is 6.

Therefore, GCD of numbers 114, 156, 726 is 6

Given Input Data is 114, 156, 726

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

Prime Factorization of 114 is 2 x 3 x 19

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

Prime Factorization of 726 is 2 x 3 x 11 x 11

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

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(114, 156) = 2964

GCD(114, 156) = ( 114 x 156 ) / 2964

GCD(114, 156) = 17784 / 2964

GCD(114, 156) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 726

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

LCM(6, 726) = 726

GCD(6, 726) = ( 6 x 726 ) / 726

GCD(6, 726) = 4356 / 726

GCD(6, 726) = 6

GCD of 114, 156, 726 is 6

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1. What is the GCD of 114, 156, 726?

GCD of 114, 156, 726 is 6

2. Where do I get the detailed procedure to find GCD of 114, 156, 726?

You can find a detailed procedure to find GCD of 114, 156, 726 on our page.

3. How to find GCD of 114, 156, 726 on a calculator?

You can find the GCD of 114, 156, 726 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.