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GCD of 663, 396, 725, 772 Calculator

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


Online GCD Calculator is useful to find the GCD of 663, 396, 725, 772 quickly. Get the easiest ways to solve the greatest common divisor of 663, 396, 725, 772 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 663, 396, 725, 772 with Factoring?

Given Input numbers are 663, 396, 725, 772

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

Divisors of 663 :

The positive integer divisors of 663 that completely divides 663 are.

1, 3, 13, 17, 39, 51, 221, 663

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 725 :

The positive integer divisors of 725 that completely divides 725 are.

1, 5, 25, 29, 145, 725

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772


GCD of numbers is the greatest common divisor

So, the GCD (663, 396, 725, 772) = 1.

Find GCD of 663, 396, 725, 772 using Prime Factorization

Given numbers are 663, 396, 725, 772

The list of prime factors of all numbers are

Prime factors of 663 are 3 x 13 x 17

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 725 are 5 x 5 x 29

Prime factors of 772 are 2 x 2 x 193

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

Steps to Calculate GCD of 663, 396, 725, 772 using LCM Formula

Given numbers are 663, 396, 725, 772

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

Apply this formula for all numbers.

Step1:

LCM(663, 396) = 87516

GCD(663, 396) = ( 663 x 396 ) / 87516

= 663 / 396

= 663


Step2:

LCM(3, 725) = 2175

GCD(3, 725) = ( 3 x 725 ) / 2175

= 3 / 725

= 3


Step3:

LCM(1, 772) = 772

GCD(1, 772) = ( 1 x 772 ) / 772

= 1 / 772

= 1


So, Greatest Common Divisor of 663, 396, 725, 772 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 663, 396, 725, 772

Given numbers are 663, 396, 725, 772
The greatest common divisor of numbers 663, 396, 725, 772 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 663, 396, 725, 772 is 1.

FAQs on GCD of 663, 396, 725, 772 Calculator

1. What is the GCD of 663, 396, 725, 772?

GCD of given numbers 663, 396, 725, 772 is 1


2. How to calculate the greatest common divisor of 663, 396, 725, 772?

We can find the highest common divisor of 663, 396, 725, 772 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 663, 396, 725, 772 i.e 1.


3. How can I use the GCD of 663, 396, 725, 772Calculator?

Out the numbers 663, 396, 725, 772 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.