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GCD of 825, 902, 872, 726 Calculator

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


Online GCD Calculator is useful to find the GCD of 825, 902, 872, 726 quickly. Get the easiest ways to solve the greatest common divisor of 825, 902, 872, 726 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 825, 902, 872, 726 with Factoring?

Given Input numbers are 825, 902, 872, 726

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

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 902 :

The positive integer divisors of 902 that completely divides 902 are.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

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


GCD of numbers is the greatest common divisor

So, the GCD (825, 902, 872, 726) = 1.

Find GCD of 825, 902, 872, 726 using Prime Factorization

Given numbers are 825, 902, 872, 726

The list of prime factors of all numbers are

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 902 are 2 x 11 x 41

Prime factors of 872 are 2 x 2 x 2 x 109

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

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

Steps to Calculate GCD of 825, 902, 872, 726 using LCM Formula

Given numbers are 825, 902, 872, 726

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

Apply this formula for all numbers.

Step1:

LCM(825, 902) = 67650

GCD(825, 902) = ( 825 x 902 ) / 67650

= 825 / 902

= 825


Step2:

LCM(11, 872) = 9592

GCD(11, 872) = ( 11 x 872 ) / 9592

= 11 / 872

= 11


Step3:

LCM(1, 726) = 726

GCD(1, 726) = ( 1 x 726 ) / 726

= 1 / 726

= 1


So, Greatest Common Divisor of 825, 902, 872, 726 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 825, 902, 872, 726

Given numbers are 825, 902, 872, 726
The greatest common divisor of numbers 825, 902, 872, 726 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 902, 872, 726 is 1.

FAQs on GCD of 825, 902, 872, 726 Calculator

1. What is the GCD of 825, 902, 872, 726?

GCD of given numbers 825, 902, 872, 726 is 1


2. How to calculate the greatest common divisor of 825, 902, 872, 726?

We can find the highest common divisor of 825, 902, 872, 726 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 825, 902, 872, 726 i.e 1.


3. How can I use the GCD of 825, 902, 872, 726Calculator?

Out the numbers 825, 902, 872, 726 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.