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GCD of 296, 918, 720, 928 Calculator

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


Online GCD Calculator is useful to find the GCD of 296, 918, 720, 928 quickly. Get the easiest ways to solve the greatest common divisor of 296, 918, 720, 928 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 296, 918, 720, 928 with Factoring?

Given Input numbers are 296, 918, 720, 928

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

Divisors of 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

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 928 :

The positive integer divisors of 928 that completely divides 928 are.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928


GCD of numbers is the greatest common divisor

So, the GCD (296, 918, 720, 928) = 2.

Find GCD of 296, 918, 720, 928 using Prime Factorization

Given numbers are 296, 918, 720, 928

The list of prime factors of all numbers are

Prime factors of 296 are 2 x 2 x 2 x 37

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

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

Prime factors of 928 are 2 x 2 x 2 x 2 x 2 x 29

The highest common occurrence is 21

Therefore, GCD of 296, 918, 720, 928 is 2.

Steps to Calculate GCD of 296, 918, 720, 928 using LCM Formula

Given numbers are 296, 918, 720, 928

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

Apply this formula for all numbers.

Step1:

LCM(296, 918) = 135864

GCD(296, 918) = ( 296 x 918 ) / 135864

= 296 / 918

= 296


Step2:

LCM(2, 720) = 720

GCD(2, 720) = ( 2 x 720 ) / 720

= 2 / 720

= 2


Step3:

LCM(2, 928) = 928

GCD(2, 928) = ( 2 x 928 ) / 928

= 2 / 928

= 2


So, Greatest Common Divisor of 296, 918, 720, 928 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 296, 918, 720, 928

Given numbers are 296, 918, 720, 928
The greatest common divisor of numbers 296, 918, 720, 928 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 296, 918, 720, 928 is 2.

FAQs on GCD of 296, 918, 720, 928 Calculator

1. What is the GCD of 296, 918, 720, 928?

GCD of given numbers 296, 918, 720, 928 is 2


2. How to calculate the greatest common divisor of 296, 918, 720, 928?

We can find the highest common divisor of 296, 918, 720, 928 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 296, 918, 720, 928 i.e 2.


3. How can I use the GCD of 296, 918, 720, 928Calculator?

Out the numbers 296, 918, 720, 928 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.