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GCD of 72, 76, 58 Calculator

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


Online GCD Calculator is useful to find the GCD of 72, 76, 58 quickly. Get the easiest ways to solve the greatest common divisor of 72, 76, 58 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 72, 76, 58 with Factoring?

Given Input numbers are 72, 76, 58

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

Divisors of 72 :

The positive integer divisors of 72 that completely divides 72 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 76 :

The positive integer divisors of 76 that completely divides 76 are.

1, 2, 4, 19, 38, 76

Divisors of 58 :

The positive integer divisors of 58 that completely divides 58 are.

1, 2, 29, 58


GCD of numbers is the greatest common divisor

So, the GCD (72, 76, 58) = 2.

Find GCD of 72, 76, 58 using Prime Factorization

Given numbers are 72, 76, 58

The list of prime factors of all numbers are

Prime factors of 72 are 2 x 2 x 2 x 3 x 3

Prime factors of 76 are 2 x 2 x 19

Prime factors of 58 are 2 x 29

The highest common occurrence is 21

Therefore, GCD of 72, 76, 58 is 2.

Steps to Calculate GCD of 72, 76, 58 using LCM Formula

Given numbers are 72, 76, 58

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

Apply this formula for all numbers.

Step1:

LCM(72, 76) = 1368

GCD(72, 76) = ( 72 x 76 ) / 1368

= 72 / 76

= 72


Step2:

LCM(4, 58) = 116

GCD(4, 58) = ( 4 x 58 ) / 116

= 4 / 58

= 4


So, Greatest Common Divisor of 72, 76, 58 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 72, 76, 58

Given numbers are 72, 76, 58
The greatest common divisor of numbers 72, 76, 58 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 72, 76, 58 is 2.

FAQs on GCD of 72, 76, 58 Calculator

1. What is the GCD of 72, 76, 58?

GCD of given numbers 72, 76, 58 is 2


2. How to calculate the greatest common divisor of 72, 76, 58?

We can find the highest common divisor of 72, 76, 58 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 72, 76, 58 i.e 2.


3. How can I use the GCD of 72, 76, 58Calculator?

Out the numbers 72, 76, 58 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.