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GCD of 816, 726, 996, 677 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, 726, 996, 677 quickly. Get the easiest ways to solve the greatest common divisor of 816, 726, 996, 677 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 816, 726, 996, 677 with Factoring?

Given Input numbers are 816, 726, 996, 677

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 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 677 :

The positive integer divisors of 677 that completely divides 677 are.

1, 677


GCD of numbers is the greatest common divisor

So, the GCD (816, 726, 996, 677) = 1.

Find GCD of 816, 726, 996, 677 using Prime Factorization

Given numbers are 816, 726, 996, 677

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 726 are 2 x 3 x 11 x 11

Prime factors of 996 are 2 x 2 x 3 x 83

Prime factors of 677 are 677

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 816, 726, 996, 677 using LCM Formula

Given numbers are 816, 726, 996, 677

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

Apply this formula for all numbers.

Step1:

LCM(816, 726) = 98736

GCD(816, 726) = ( 816 x 726 ) / 98736

= 816 / 726

= 816


Step2:

LCM(6, 996) = 996

GCD(6, 996) = ( 6 x 996 ) / 996

= 6 / 996

= 6


Step3:

LCM(6, 677) = 4062

GCD(6, 677) = ( 6 x 677 ) / 4062

= 6 / 677

= 6


So, Greatest Common Divisor of 816, 726, 996, 677 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 816, 726, 996, 677

Given numbers are 816, 726, 996, 677
The greatest common divisor of numbers 816, 726, 996, 677 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 816, 726, 996, 677 is 1.

FAQs on GCD of 816, 726, 996, 677 Calculator

1. What is the GCD of 816, 726, 996, 677?

GCD of given numbers 816, 726, 996, 677 is 1


2. How to calculate the greatest common divisor of 816, 726, 996, 677?

We can find the highest common divisor of 816, 726, 996, 677 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, 726, 996, 677 i.e 1.


3. How can I use the GCD of 816, 726, 996, 677Calculator?

Out the numbers 816, 726, 996, 677 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.