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

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

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

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

GCD of 156, 726, 114 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Online GCD Calculator is useful to find the GCD of 156, 726, 114 quickly. Get the easiest ways to solve the greatest common divisor of 156, 726, 114 i.e 6 in different methods as follows.

How to Find GCD of Numbers 156, 726, 114 with Factoring?

Given Input numbers are 156, 726, 114

In the factoring method, we have to find the divisors of all numbers

Divisors of 156 :

The positive integer divisors of 156 that completely divides 156 are.

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

Divisors of 726 :

The positive integer divisors of 726 that completely divides 726 are.

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

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (156, 726, 114) = 6.

Find GCD of 156, 726, 114 using Prime Factorization

Given numbers are 156, 726, 114

The list of prime factors of all numbers are

Prime factors of 156 are 2 x 2 x 3 x 13

Prime factors of 726 are 2 x 3 x 11 x 11

Prime factors of 114 are 2 x 3 x 19

The highest common occurrence is 2¹ x 3¹

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

Steps to Calculate GCD of 156, 726, 114 using LCM Formula

Given numbers are 156, 726, 114

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(156, 726) = 18876

GCD(156, 726) = ( 156 x 726 ) / 18876

= 156 / 726

= 156

Step2:

LCM(6, 114) = 114

GCD(6, 114) = ( 6 x 114 ) / 114

= 6 / 114

= 6

So, Greatest Common Divisor of 156, 726, 114 is 6

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 156, 726, 114

Given numbers are 156, 726, 114
The greatest common divisor of numbers 156, 726, 114 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 156, 726, 114 is 6.

FAQs on GCD of 156, 726, 114 Calculator

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

GCD of given numbers 156, 726, 114 is 6

2. How to calculate the greatest common divisor of 156, 726, 114?

We can find the highest common divisor of 156, 726, 114 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 156, 726, 114 i.e 6.

3. How can I use the GCD of 156, 726, 114Calculator?

Out the numbers 156, 726, 114 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.