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GCD of 720, 512, 916, 276 Calculator

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


Online GCD Calculator is useful to find the GCD of 720, 512, 916, 276 quickly. Get the easiest ways to solve the greatest common divisor of 720, 512, 916, 276 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 720, 512, 916, 276 with Factoring?

Given Input numbers are 720, 512, 916, 276

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

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 512 :

The positive integer divisors of 512 that completely divides 512 are.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 276 :

The positive integer divisors of 276 that completely divides 276 are.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276


GCD of numbers is the greatest common divisor

So, the GCD (720, 512, 916, 276) = 4.

Find GCD of 720, 512, 916, 276 using Prime Factorization

Given numbers are 720, 512, 916, 276

The list of prime factors of all numbers are

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

Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 916 are 2 x 2 x 229

Prime factors of 276 are 2 x 2 x 3 x 23

The highest common occurrence is 22

Therefore, GCD of 720, 512, 916, 276 is 4.

Steps to Calculate GCD of 720, 512, 916, 276 using LCM Formula

Given numbers are 720, 512, 916, 276

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

Apply this formula for all numbers.

Step1:

LCM(720, 512) = 23040

GCD(720, 512) = ( 720 x 512 ) / 23040

= 720 / 512

= 720


Step2:

LCM(16, 916) = 3664

GCD(16, 916) = ( 16 x 916 ) / 3664

= 16 / 916

= 16


Step3:

LCM(4, 276) = 276

GCD(4, 276) = ( 4 x 276 ) / 276

= 4 / 276

= 4


So, Greatest Common Divisor of 720, 512, 916, 276 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 720, 512, 916, 276

Given numbers are 720, 512, 916, 276
The greatest common divisor of numbers 720, 512, 916, 276 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 512, 916, 276 is 4.

FAQs on GCD of 720, 512, 916, 276 Calculator

1. What is the GCD of 720, 512, 916, 276?

GCD of given numbers 720, 512, 916, 276 is 4


2. How to calculate the greatest common divisor of 720, 512, 916, 276?

We can find the highest common divisor of 720, 512, 916, 276 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 720, 512, 916, 276 i.e 4.


3. How can I use the GCD of 720, 512, 916, 276Calculator?

Out the numbers 720, 512, 916, 276 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.