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GCD of 716, 764, 896 Calculator

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


Online GCD Calculator is useful to find the GCD of 716, 764, 896 quickly. Get the easiest ways to solve the greatest common divisor of 716, 764, 896 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 716, 764, 896 with Factoring?

Given Input numbers are 716, 764, 896

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

Divisors of 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

Divisors of 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

Divisors of 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896


GCD of numbers is the greatest common divisor

So, the GCD (716, 764, 896) = 4.

Find GCD of 716, 764, 896 using Prime Factorization

Given numbers are 716, 764, 896

The list of prime factors of all numbers are

Prime factors of 716 are 2 x 2 x 179

Prime factors of 764 are 2 x 2 x 191

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

The highest common occurrence is 22

Therefore, GCD of 716, 764, 896 is 4.

Steps to Calculate GCD of 716, 764, 896 using LCM Formula

Given numbers are 716, 764, 896

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

Apply this formula for all numbers.

Step1:

LCM(716, 764) = 136756

GCD(716, 764) = ( 716 x 764 ) / 136756

= 716 / 764

= 716


Step2:

LCM(4, 896) = 896

GCD(4, 896) = ( 4 x 896 ) / 896

= 4 / 896

= 4


So, Greatest Common Divisor of 716, 764, 896 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 716, 764, 896

Given numbers are 716, 764, 896
The greatest common divisor of numbers 716, 764, 896 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 716, 764, 896 is 4.

FAQs on GCD of 716, 764, 896 Calculator

1. What is the GCD of 716, 764, 896?

GCD of given numbers 716, 764, 896 is 4


2. How to calculate the greatest common divisor of 716, 764, 896?

We can find the highest common divisor of 716, 764, 896 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 716, 764, 896 i.e 4.


3. How can I use the GCD of 716, 764, 896Calculator?

Out the numbers 716, 764, 896 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.