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GCD of 790, 747, 688, 523 Calculator

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


Online GCD Calculator is useful to find the GCD of 790, 747, 688, 523 quickly. Get the easiest ways to solve the greatest common divisor of 790, 747, 688, 523 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 790, 747, 688, 523 with Factoring?

Given Input numbers are 790, 747, 688, 523

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

Divisors of 790 :

The positive integer divisors of 790 that completely divides 790 are.

1, 2, 5, 10, 79, 158, 395, 790

Divisors of 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

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 523 :

The positive integer divisors of 523 that completely divides 523 are.

1, 523


GCD of numbers is the greatest common divisor

So, the GCD (790, 747, 688, 523) = 1.

Find GCD of 790, 747, 688, 523 using Prime Factorization

Given numbers are 790, 747, 688, 523

The list of prime factors of all numbers are

Prime factors of 790 are 2 x 5 x 79

Prime factors of 747 are 3 x 3 x 83

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

Prime factors of 523 are 523

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

Steps to Calculate GCD of 790, 747, 688, 523 using LCM Formula

Given numbers are 790, 747, 688, 523

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

Apply this formula for all numbers.

Step1:

LCM(790, 747) = 590130

GCD(790, 747) = ( 790 x 747 ) / 590130

= 790 / 747

= 790


Step2:

LCM(1, 688) = 688

GCD(1, 688) = ( 1 x 688 ) / 688

= 1 / 688

= 1


Step3:

LCM(1, 523) = 523

GCD(1, 523) = ( 1 x 523 ) / 523

= 1 / 523

= 1


So, Greatest Common Divisor of 790, 747, 688, 523 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 790, 747, 688, 523

Given numbers are 790, 747, 688, 523
The greatest common divisor of numbers 790, 747, 688, 523 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 790, 747, 688, 523 is 1.

FAQs on GCD of 790, 747, 688, 523 Calculator

1. What is the GCD of 790, 747, 688, 523?

GCD of given numbers 790, 747, 688, 523 is 1


2. How to calculate the greatest common divisor of 790, 747, 688, 523?

We can find the highest common divisor of 790, 747, 688, 523 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 790, 747, 688, 523 i.e 1.


3. How can I use the GCD of 790, 747, 688, 523Calculator?

Out the numbers 790, 747, 688, 523 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.