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GCD of 832, 888, 716, 784 Calculator

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


Online GCD Calculator is useful to find the GCD of 832, 888, 716, 784 quickly. Get the easiest ways to solve the greatest common divisor of 832, 888, 716, 784 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 832, 888, 716, 784 with Factoring?

Given Input numbers are 832, 888, 716, 784

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

Divisors of 832 :

The positive integer divisors of 832 that completely divides 832 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 888 :

The positive integer divisors of 888 that completely divides 888 are.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

Divisors of 716 :

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

1, 2, 4, 179, 358, 716

Divisors of 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784


GCD of numbers is the greatest common divisor

So, the GCD (832, 888, 716, 784) = 4.

Find GCD of 832, 888, 716, 784 using Prime Factorization

Given numbers are 832, 888, 716, 784

The list of prime factors of all numbers are

Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime factors of 888 are 2 x 2 x 2 x 3 x 37

Prime factors of 716 are 2 x 2 x 179

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

The highest common occurrence is 22

Therefore, GCD of 832, 888, 716, 784 is 4.

Steps to Calculate GCD of 832, 888, 716, 784 using LCM Formula

Given numbers are 832, 888, 716, 784

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

Apply this formula for all numbers.

Step1:

LCM(832, 888) = 92352

GCD(832, 888) = ( 832 x 888 ) / 92352

= 832 / 888

= 832


Step2:

LCM(8, 716) = 1432

GCD(8, 716) = ( 8 x 716 ) / 1432

= 8 / 716

= 8


Step3:

LCM(4, 784) = 784

GCD(4, 784) = ( 4 x 784 ) / 784

= 4 / 784

= 4


So, Greatest Common Divisor of 832, 888, 716, 784 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 832, 888, 716, 784

Given numbers are 832, 888, 716, 784
The greatest common divisor of numbers 832, 888, 716, 784 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 832, 888, 716, 784 is 4.

FAQs on GCD of 832, 888, 716, 784 Calculator

1. What is the GCD of 832, 888, 716, 784?

GCD of given numbers 832, 888, 716, 784 is 4


2. How to calculate the greatest common divisor of 832, 888, 716, 784?

We can find the highest common divisor of 832, 888, 716, 784 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 832, 888, 716, 784 i.e 4.


3. How can I use the GCD of 832, 888, 716, 784Calculator?

Out the numbers 832, 888, 716, 784 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.