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GCD of 365, 726, 896 Calculator

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


Online GCD Calculator is useful to find the GCD of 365, 726, 896 quickly. Get the easiest ways to solve the greatest common divisor of 365, 726, 896 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 365, 726, 896 with Factoring?

Given Input numbers are 365, 726, 896

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

Divisors of 365 :

The positive integer divisors of 365 that completely divides 365 are.

1, 5, 73, 365

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


GCD of numbers is the greatest common divisor

So, the GCD (365, 726, 896) = 1.

Find GCD of 365, 726, 896 using Prime Factorization

Given numbers are 365, 726, 896

The list of prime factors of all numbers are

Prime factors of 365 are 5 x 73

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

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

Steps to Calculate GCD of 365, 726, 896 using LCM Formula

Given numbers are 365, 726, 896

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

Apply this formula for all numbers.

Step1:

LCM(365, 726) = 264990

GCD(365, 726) = ( 365 x 726 ) / 264990

= 365 / 726

= 365


Step2:

LCM(1, 896) = 896

GCD(1, 896) = ( 1 x 896 ) / 896

= 1 / 896

= 1


So, Greatest Common Divisor of 365, 726, 896 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 365, 726, 896

Given numbers are 365, 726, 896
The greatest common divisor of numbers 365, 726, 896 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 365, 726, 896 is 1.

FAQs on GCD of 365, 726, 896 Calculator

1. What is the GCD of 365, 726, 896?

GCD of given numbers 365, 726, 896 is 1


2. How to calculate the greatest common divisor of 365, 726, 896?

We can find the highest common divisor of 365, 726, 896 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 365, 726, 896 i.e 1.


3. How can I use the GCD of 365, 726, 896Calculator?

Out the numbers 365, 726, 896 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.