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GCD of 954, 738, 836 Calculator

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


Online GCD Calculator is useful to find the GCD of 954, 738, 836 quickly. Get the easiest ways to solve the greatest common divisor of 954, 738, 836 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 954, 738, 836 with Factoring?

Given Input numbers are 954, 738, 836

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

Divisors of 954 :

The positive integer divisors of 954 that completely divides 954 are.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 836 :

The positive integer divisors of 836 that completely divides 836 are.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836


GCD of numbers is the greatest common divisor

So, the GCD (954, 738, 836) = 2.

Find GCD of 954, 738, 836 using Prime Factorization

Given numbers are 954, 738, 836

The list of prime factors of all numbers are

Prime factors of 954 are 2 x 3 x 3 x 53

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 836 are 2 x 2 x 11 x 19

The highest common occurrence is 21

Therefore, GCD of 954, 738, 836 is 2.

Steps to Calculate GCD of 954, 738, 836 using LCM Formula

Given numbers are 954, 738, 836

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

Apply this formula for all numbers.

Step1:

LCM(954, 738) = 39114

GCD(954, 738) = ( 954 x 738 ) / 39114

= 954 / 738

= 954


Step2:

LCM(18, 836) = 7524

GCD(18, 836) = ( 18 x 836 ) / 7524

= 18 / 836

= 18


So, Greatest Common Divisor of 954, 738, 836 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 954, 738, 836

Given numbers are 954, 738, 836
The greatest common divisor of numbers 954, 738, 836 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 954, 738, 836 is 2.

FAQs on GCD of 954, 738, 836 Calculator

1. What is the GCD of 954, 738, 836?

GCD of given numbers 954, 738, 836 is 2


2. How to calculate the greatest common divisor of 954, 738, 836?

We can find the highest common divisor of 954, 738, 836 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 954, 738, 836 i.e 2.


3. How can I use the GCD of 954, 738, 836Calculator?

Out the numbers 954, 738, 836 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.