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GCD of 688, 761, 792, 361 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, 761, 792, 361 quickly. Get the easiest ways to solve the greatest common divisor of 688, 761, 792, 361 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 688, 761, 792, 361 with Factoring?

Given Input numbers are 688, 761, 792, 361

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 761 :

The positive integer divisors of 761 that completely divides 761 are.

1, 761

Divisors of 792 :

The positive integer divisors of 792 that completely divides 792 are.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361


GCD of numbers is the greatest common divisor

So, the GCD (688, 761, 792, 361) = 1.

Find GCD of 688, 761, 792, 361 using Prime Factorization

Given numbers are 688, 761, 792, 361

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 761 are 761

Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11

Prime factors of 361 are 19 x 19

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

Steps to Calculate GCD of 688, 761, 792, 361 using LCM Formula

Given numbers are 688, 761, 792, 361

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

Apply this formula for all numbers.

Step1:

LCM(688, 761) = 523568

GCD(688, 761) = ( 688 x 761 ) / 523568

= 688 / 761

= 688


Step2:

LCM(1, 792) = 792

GCD(1, 792) = ( 1 x 792 ) / 792

= 1 / 792

= 1


Step3:

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

= 1 / 361

= 1


So, Greatest Common Divisor of 688, 761, 792, 361 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 688, 761, 792, 361

Given numbers are 688, 761, 792, 361
The greatest common divisor of numbers 688, 761, 792, 361 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 688, 761, 792, 361 is 1.

FAQs on GCD of 688, 761, 792, 361 Calculator

1. What is the GCD of 688, 761, 792, 361?

GCD of given numbers 688, 761, 792, 361 is 1


2. How to calculate the greatest common divisor of 688, 761, 792, 361?

We can find the highest common divisor of 688, 761, 792, 361 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, 761, 792, 361 i.e 1.


3. How can I use the GCD of 688, 761, 792, 361Calculator?

Out the numbers 688, 761, 792, 361 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.