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GCD of 688, 147, 842 Calculator

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


Online GCD Calculator is useful to find the GCD of 688, 147, 842 quickly. Get the easiest ways to solve the greatest common divisor of 688, 147, 842 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 688, 147, 842 with Factoring?

Given Input numbers are 688, 147, 842

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

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 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147

Divisors of 842 :

The positive integer divisors of 842 that completely divides 842 are.

1, 2, 421, 842


GCD of numbers is the greatest common divisor

So, the GCD (688, 147, 842) = 1.

Find GCD of 688, 147, 842 using Prime Factorization

Given numbers are 688, 147, 842

The list of prime factors of all numbers are

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

Prime factors of 147 are 3 x 7 x 7

Prime factors of 842 are 2 x 421

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

Steps to Calculate GCD of 688, 147, 842 using LCM Formula

Given numbers are 688, 147, 842

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

Apply this formula for all numbers.

Step1:

LCM(688, 147) = 101136

GCD(688, 147) = ( 688 x 147 ) / 101136

= 688 / 147

= 688


Step2:

LCM(1, 842) = 842

GCD(1, 842) = ( 1 x 842 ) / 842

= 1 / 842

= 1


So, Greatest Common Divisor of 688, 147, 842 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 688, 147, 842

Given numbers are 688, 147, 842
The greatest common divisor of numbers 688, 147, 842 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 688, 147, 842 is 1.

FAQs on GCD of 688, 147, 842 Calculator

1. What is the GCD of 688, 147, 842?

GCD of given numbers 688, 147, 842 is 1


2. How to calculate the greatest common divisor of 688, 147, 842?

We can find the highest common divisor of 688, 147, 842 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 688, 147, 842 i.e 1.


3. How can I use the GCD of 688, 147, 842Calculator?

Out the numbers 688, 147, 842 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.