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GCD of 816, 312, 988, 688 Calculator

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


Online GCD Calculator is useful to find the GCD of 816, 312, 988, 688 quickly. Get the easiest ways to solve the greatest common divisor of 816, 312, 988, 688 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 816, 312, 988, 688 with Factoring?

Given Input numbers are 816, 312, 988, 688

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

Divisors of 816 :

The positive integer divisors of 816 that completely divides 816 are.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688


GCD of numbers is the greatest common divisor

So, the GCD (816, 312, 988, 688) = 4.

Find GCD of 816, 312, 988, 688 using Prime Factorization

Given numbers are 816, 312, 988, 688

The list of prime factors of all numbers are

Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 988 are 2 x 2 x 13 x 19

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

The highest common occurrence is 22

Therefore, GCD of 816, 312, 988, 688 is 4.

Steps to Calculate GCD of 816, 312, 988, 688 using LCM Formula

Given numbers are 816, 312, 988, 688

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

Apply this formula for all numbers.

Step1:

LCM(816, 312) = 10608

GCD(816, 312) = ( 816 x 312 ) / 10608

= 816 / 312

= 816


Step2:

LCM(24, 988) = 5928

GCD(24, 988) = ( 24 x 988 ) / 5928

= 24 / 988

= 24


Step3:

LCM(4, 688) = 688

GCD(4, 688) = ( 4 x 688 ) / 688

= 4 / 688

= 4


So, Greatest Common Divisor of 816, 312, 988, 688 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 816, 312, 988, 688

Given numbers are 816, 312, 988, 688
The greatest common divisor of numbers 816, 312, 988, 688 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 816, 312, 988, 688 is 4.

FAQs on GCD of 816, 312, 988, 688 Calculator

1. What is the GCD of 816, 312, 988, 688?

GCD of given numbers 816, 312, 988, 688 is 4


2. How to calculate the greatest common divisor of 816, 312, 988, 688?

We can find the highest common divisor of 816, 312, 988, 688 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 816, 312, 988, 688 i.e 4.


3. How can I use the GCD of 816, 312, 988, 688Calculator?

Out the numbers 816, 312, 988, 688 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.