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GCD of 812, 688, 348, 861 Calculator

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


Online GCD Calculator is useful to find the GCD of 812, 688, 348, 861 quickly. Get the easiest ways to solve the greatest common divisor of 812, 688, 348, 861 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 812, 688, 348, 861 with Factoring?

Given Input numbers are 812, 688, 348, 861

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

Divisors of 812 :

The positive integer divisors of 812 that completely divides 812 are.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 688 :

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

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

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 861 :

The positive integer divisors of 861 that completely divides 861 are.

1, 3, 7, 21, 41, 123, 287, 861


GCD of numbers is the greatest common divisor

So, the GCD (812, 688, 348, 861) = 1.

Find GCD of 812, 688, 348, 861 using Prime Factorization

Given numbers are 812, 688, 348, 861

The list of prime factors of all numbers are

Prime factors of 812 are 2 x 2 x 7 x 29

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

Prime factors of 348 are 2 x 2 x 3 x 29

Prime factors of 861 are 3 x 7 x 41

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

Steps to Calculate GCD of 812, 688, 348, 861 using LCM Formula

Given numbers are 812, 688, 348, 861

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

Apply this formula for all numbers.

Step1:

LCM(812, 688) = 139664

GCD(812, 688) = ( 812 x 688 ) / 139664

= 812 / 688

= 812


Step2:

LCM(4, 348) = 348

GCD(4, 348) = ( 4 x 348 ) / 348

= 4 / 348

= 4


Step3:

LCM(4, 861) = 3444

GCD(4, 861) = ( 4 x 861 ) / 3444

= 4 / 861

= 4


So, Greatest Common Divisor of 812, 688, 348, 861 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 812, 688, 348, 861

Given numbers are 812, 688, 348, 861
The greatest common divisor of numbers 812, 688, 348, 861 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 812, 688, 348, 861 is 1.

FAQs on GCD of 812, 688, 348, 861 Calculator

1. What is the GCD of 812, 688, 348, 861?

GCD of given numbers 812, 688, 348, 861 is 1


2. How to calculate the greatest common divisor of 812, 688, 348, 861?

We can find the highest common divisor of 812, 688, 348, 861 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 812, 688, 348, 861 i.e 1.


3. How can I use the GCD of 812, 688, 348, 861Calculator?

Out the numbers 812, 688, 348, 861 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.