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GCD of 708, 306, 50 Calculator

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


Online GCD Calculator is useful to find the GCD of 708, 306, 50 quickly. Get the easiest ways to solve the greatest common divisor of 708, 306, 50 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 708, 306, 50 with Factoring?

Given Input numbers are 708, 306, 50

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

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 306 :

The positive integer divisors of 306 that completely divides 306 are.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 50 :

The positive integer divisors of 50 that completely divides 50 are.

1, 2, 5, 10, 25, 50


GCD of numbers is the greatest common divisor

So, the GCD (708, 306, 50) = 2.

Find GCD of 708, 306, 50 using Prime Factorization

Given numbers are 708, 306, 50

The list of prime factors of all numbers are

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 306 are 2 x 3 x 3 x 17

Prime factors of 50 are 2 x 5 x 5

The highest common occurrence is 21

Therefore, GCD of 708, 306, 50 is 2.

Steps to Calculate GCD of 708, 306, 50 using LCM Formula

Given numbers are 708, 306, 50

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

Apply this formula for all numbers.

Step1:

LCM(708, 306) = 36108

GCD(708, 306) = ( 708 x 306 ) / 36108

= 708 / 306

= 708


Step2:

LCM(6, 50) = 150

GCD(6, 50) = ( 6 x 50 ) / 150

= 6 / 50

= 6


So, Greatest Common Divisor of 708, 306, 50 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 708, 306, 50

Given numbers are 708, 306, 50
The greatest common divisor of numbers 708, 306, 50 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 708, 306, 50 is 2.

FAQs on GCD of 708, 306, 50 Calculator

1. What is the GCD of 708, 306, 50?

GCD of given numbers 708, 306, 50 is 2


2. How to calculate the greatest common divisor of 708, 306, 50?

We can find the highest common divisor of 708, 306, 50 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 708, 306, 50 i.e 2.


3. How can I use the GCD of 708, 306, 50Calculator?

Out the numbers 708, 306, 50 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.