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 830, 724, 660, 936 Calculator

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


Online GCD Calculator is useful to find the GCD of 830, 724, 660, 936 quickly. Get the easiest ways to solve the greatest common divisor of 830, 724, 660, 936 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 830, 724, 660, 936 with Factoring?

Given Input numbers are 830, 724, 660, 936

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

Divisors of 830 :

The positive integer divisors of 830 that completely divides 830 are.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 936 :

The positive integer divisors of 936 that completely divides 936 are.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936


GCD of numbers is the greatest common divisor

So, the GCD (830, 724, 660, 936) = 2.

Find GCD of 830, 724, 660, 936 using Prime Factorization

Given numbers are 830, 724, 660, 936

The list of prime factors of all numbers are

Prime factors of 830 are 2 x 5 x 83

Prime factors of 724 are 2 x 2 x 181

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13

The highest common occurrence is 21

Therefore, GCD of 830, 724, 660, 936 is 2.

Steps to Calculate GCD of 830, 724, 660, 936 using LCM Formula

Given numbers are 830, 724, 660, 936

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

Apply this formula for all numbers.

Step1:

LCM(830, 724) = 300460

GCD(830, 724) = ( 830 x 724 ) / 300460

= 830 / 724

= 830


Step2:

LCM(2, 660) = 660

GCD(2, 660) = ( 2 x 660 ) / 660

= 2 / 660

= 2


Step3:

LCM(2, 936) = 936

GCD(2, 936) = ( 2 x 936 ) / 936

= 2 / 936

= 2


So, Greatest Common Divisor of 830, 724, 660, 936 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 830, 724, 660, 936

Given numbers are 830, 724, 660, 936
The greatest common divisor of numbers 830, 724, 660, 936 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 830, 724, 660, 936 is 2.

FAQs on GCD of 830, 724, 660, 936 Calculator

1. What is the GCD of 830, 724, 660, 936?

GCD of given numbers 830, 724, 660, 936 is 2


2. How to calculate the greatest common divisor of 830, 724, 660, 936?

We can find the highest common divisor of 830, 724, 660, 936 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 830, 724, 660, 936 i.e 2.


3. How can I use the GCD of 830, 724, 660, 936Calculator?

Out the numbers 830, 724, 660, 936 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.