LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 726, 896, 627 Calculator

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


Online GCD Calculator is useful to find the GCD of 726, 896, 627 quickly. Get the easiest ways to solve the greatest common divisor of 726, 896, 627 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 726, 896, 627 with Factoring?

Given Input numbers are 726, 896, 627

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

Divisors of 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 627 :

The positive integer divisors of 627 that completely divides 627 are.

1, 3, 11, 19, 33, 57, 209, 627


GCD of numbers is the greatest common divisor

So, the GCD (726, 896, 627) = 1.

Find GCD of 726, 896, 627 using Prime Factorization

Given numbers are 726, 896, 627

The list of prime factors of all numbers are

Prime factors of 726 are 2 x 3 x 11 x 11

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 627 are 3 x 11 x 19

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

Steps to Calculate GCD of 726, 896, 627 using LCM Formula

Given numbers are 726, 896, 627

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

Apply this formula for all numbers.

Step1:

LCM(726, 896) = 325248

GCD(726, 896) = ( 726 x 896 ) / 325248

= 726 / 896

= 726


Step2:

LCM(2, 627) = 1254

GCD(2, 627) = ( 2 x 627 ) / 1254

= 2 / 627

= 2


So, Greatest Common Divisor of 726, 896, 627 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 726, 896, 627

Given numbers are 726, 896, 627
The greatest common divisor of numbers 726, 896, 627 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 726, 896, 627 is 1.

FAQs on GCD of 726, 896, 627 Calculator

1. What is the GCD of 726, 896, 627?

GCD of given numbers 726, 896, 627 is 1


2. How to calculate the greatest common divisor of 726, 896, 627?

We can find the highest common divisor of 726, 896, 627 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 726, 896, 627 i.e 1.


3. How can I use the GCD of 726, 896, 627Calculator?

Out the numbers 726, 896, 627 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.