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GCD of 724, 213, 436, 116 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, 213, 436, 116 quickly. Get the easiest ways to solve the greatest common divisor of 724, 213, 436, 116 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 724, 213, 436, 116 with Factoring?

Given Input numbers are 724, 213, 436, 116

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 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

Divisors of 436 :

The positive integer divisors of 436 that completely divides 436 are.

1, 2, 4, 109, 218, 436

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116


GCD of numbers is the greatest common divisor

So, the GCD (724, 213, 436, 116) = 1.

Find GCD of 724, 213, 436, 116 using Prime Factorization

Given numbers are 724, 213, 436, 116

The list of prime factors of all numbers are

Prime factors of 724 are 2 x 2 x 181

Prime factors of 213 are 3 x 71

Prime factors of 436 are 2 x 2 x 109

Prime factors of 116 are 2 x 2 x 29

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

Steps to Calculate GCD of 724, 213, 436, 116 using LCM Formula

Given numbers are 724, 213, 436, 116

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

Apply this formula for all numbers.

Step1:

LCM(724, 213) = 154212

GCD(724, 213) = ( 724 x 213 ) / 154212

= 724 / 213

= 724


Step2:

LCM(1, 436) = 436

GCD(1, 436) = ( 1 x 436 ) / 436

= 1 / 436

= 1


Step3:

LCM(1, 116) = 116

GCD(1, 116) = ( 1 x 116 ) / 116

= 1 / 116

= 1


So, Greatest Common Divisor of 724, 213, 436, 116 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 724, 213, 436, 116

Given numbers are 724, 213, 436, 116
The greatest common divisor of numbers 724, 213, 436, 116 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 213, 436, 116 is 1.

FAQs on GCD of 724, 213, 436, 116 Calculator

1. What is the GCD of 724, 213, 436, 116?

GCD of given numbers 724, 213, 436, 116 is 1


2. How to calculate the greatest common divisor of 724, 213, 436, 116?

We can find the highest common divisor of 724, 213, 436, 116 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, 213, 436, 116 i.e 1.


3. How can I use the GCD of 724, 213, 436, 116Calculator?

Out the numbers 724, 213, 436, 116 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.