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GCD of 556, 796, 720, 108 Calculator

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


Online GCD Calculator is useful to find the GCD of 556, 796, 720, 108 quickly. Get the easiest ways to solve the greatest common divisor of 556, 796, 720, 108 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 556, 796, 720, 108 with Factoring?

Given Input numbers are 556, 796, 720, 108

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

Divisors of 556 :

The positive integer divisors of 556 that completely divides 556 are.

1, 2, 4, 139, 278, 556

Divisors of 796 :

The positive integer divisors of 796 that completely divides 796 are.

1, 2, 4, 199, 398, 796

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108


GCD of numbers is the greatest common divisor

So, the GCD (556, 796, 720, 108) = 4.

Find GCD of 556, 796, 720, 108 using Prime Factorization

Given numbers are 556, 796, 720, 108

The list of prime factors of all numbers are

Prime factors of 556 are 2 x 2 x 139

Prime factors of 796 are 2 x 2 x 199

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

The highest common occurrence is 22

Therefore, GCD of 556, 796, 720, 108 is 4.

Steps to Calculate GCD of 556, 796, 720, 108 using LCM Formula

Given numbers are 556, 796, 720, 108

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

Apply this formula for all numbers.

Step1:

LCM(556, 796) = 110644

GCD(556, 796) = ( 556 x 796 ) / 110644

= 556 / 796

= 556


Step2:

LCM(4, 720) = 720

GCD(4, 720) = ( 4 x 720 ) / 720

= 4 / 720

= 4


Step3:

LCM(4, 108) = 108

GCD(4, 108) = ( 4 x 108 ) / 108

= 4 / 108

= 4


So, Greatest Common Divisor of 556, 796, 720, 108 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 556, 796, 720, 108

Given numbers are 556, 796, 720, 108
The greatest common divisor of numbers 556, 796, 720, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 556, 796, 720, 108 is 4.

FAQs on GCD of 556, 796, 720, 108 Calculator

1. What is the GCD of 556, 796, 720, 108?

GCD of given numbers 556, 796, 720, 108 is 4


2. How to calculate the greatest common divisor of 556, 796, 720, 108?

We can find the highest common divisor of 556, 796, 720, 108 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 556, 796, 720, 108 i.e 4.


3. How can I use the GCD of 556, 796, 720, 108Calculator?

Out the numbers 556, 796, 720, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.