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, 975, 826, 366 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, 975, 826, 366 quickly. Get the easiest ways to solve the greatest common divisor of 726, 975, 826, 366 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 726, 975, 826, 366 with Factoring?

Given Input numbers are 726, 975, 826, 366

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 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 826 :

The positive integer divisors of 826 that completely divides 826 are.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 366 :

The positive integer divisors of 366 that completely divides 366 are.

1, 2, 3, 6, 61, 122, 183, 366


GCD of numbers is the greatest common divisor

So, the GCD (726, 975, 826, 366) = 1.

Find GCD of 726, 975, 826, 366 using Prime Factorization

Given numbers are 726, 975, 826, 366

The list of prime factors of all numbers are

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

Prime factors of 975 are 3 x 5 x 5 x 13

Prime factors of 826 are 2 x 7 x 59

Prime factors of 366 are 2 x 3 x 61

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

Steps to Calculate GCD of 726, 975, 826, 366 using LCM Formula

Given numbers are 726, 975, 826, 366

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

Apply this formula for all numbers.

Step1:

LCM(726, 975) = 235950

GCD(726, 975) = ( 726 x 975 ) / 235950

= 726 / 975

= 726


Step2:

LCM(3, 826) = 2478

GCD(3, 826) = ( 3 x 826 ) / 2478

= 3 / 826

= 3


Step3:

LCM(1, 366) = 366

GCD(1, 366) = ( 1 x 366 ) / 366

= 1 / 366

= 1


So, Greatest Common Divisor of 726, 975, 826, 366 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 726, 975, 826, 366

Given numbers are 726, 975, 826, 366
The greatest common divisor of numbers 726, 975, 826, 366 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 726, 975, 826, 366 is 1.

FAQs on GCD of 726, 975, 826, 366 Calculator

1. What is the GCD of 726, 975, 826, 366?

GCD of given numbers 726, 975, 826, 366 is 1


2. How to calculate the greatest common divisor of 726, 975, 826, 366?

We can find the highest common divisor of 726, 975, 826, 366 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, 975, 826, 366 i.e 1.


3. How can I use the GCD of 726, 975, 826, 366Calculator?

Out the numbers 726, 975, 826, 366 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.