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GCD of 724, 332, 990, 236 Calculator

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


Online GCD Calculator is useful to find the GCD of 724, 332, 990, 236 quickly. Get the easiest ways to solve the greatest common divisor of 724, 332, 990, 236 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 724, 332, 990, 236 with Factoring?

Given Input numbers are 724, 332, 990, 236

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

Divisors of 724 :

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

1, 2, 4, 181, 362, 724

Divisors of 332 :

The positive integer divisors of 332 that completely divides 332 are.

1, 2, 4, 83, 166, 332

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 236 :

The positive integer divisors of 236 that completely divides 236 are.

1, 2, 4, 59, 118, 236


GCD of numbers is the greatest common divisor

So, the GCD (724, 332, 990, 236) = 2.

Find GCD of 724, 332, 990, 236 using Prime Factorization

Given numbers are 724, 332, 990, 236

The list of prime factors of all numbers are

Prime factors of 724 are 2 x 2 x 181

Prime factors of 332 are 2 x 2 x 83

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

Prime factors of 236 are 2 x 2 x 59

The highest common occurrence is 21

Therefore, GCD of 724, 332, 990, 236 is 2.

Steps to Calculate GCD of 724, 332, 990, 236 using LCM Formula

Given numbers are 724, 332, 990, 236

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

Apply this formula for all numbers.

Step1:

LCM(724, 332) = 60092

GCD(724, 332) = ( 724 x 332 ) / 60092

= 724 / 332

= 724


Step2:

LCM(4, 990) = 1980

GCD(4, 990) = ( 4 x 990 ) / 1980

= 4 / 990

= 4


Step3:

LCM(2, 236) = 236

GCD(2, 236) = ( 2 x 236 ) / 236

= 2 / 236

= 2


So, Greatest Common Divisor of 724, 332, 990, 236 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 724, 332, 990, 236

Given numbers are 724, 332, 990, 236
The greatest common divisor of numbers 724, 332, 990, 236 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 332, 990, 236 is 2.

FAQs on GCD of 724, 332, 990, 236 Calculator

1. What is the GCD of 724, 332, 990, 236?

GCD of given numbers 724, 332, 990, 236 is 2


2. How to calculate the greatest common divisor of 724, 332, 990, 236?

We can find the highest common divisor of 724, 332, 990, 236 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 724, 332, 990, 236 i.e 2.


3. How can I use the GCD of 724, 332, 990, 236Calculator?

Out the numbers 724, 332, 990, 236 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.