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GCD of 299, 862, 72 Calculator

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


Online GCD Calculator is useful to find the GCD of 299, 862, 72 quickly. Get the easiest ways to solve the greatest common divisor of 299, 862, 72 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 299, 862, 72 with Factoring?

Given Input numbers are 299, 862, 72

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

Divisors of 299 :

The positive integer divisors of 299 that completely divides 299 are.

1, 13, 23, 299

Divisors of 862 :

The positive integer divisors of 862 that completely divides 862 are.

1, 2, 431, 862

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


GCD of numbers is the greatest common divisor

So, the GCD (299, 862, 72) = 1.

Find GCD of 299, 862, 72 using Prime Factorization

Given numbers are 299, 862, 72

The list of prime factors of all numbers are

Prime factors of 299 are 13 x 23

Prime factors of 862 are 2 x 431

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

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

Steps to Calculate GCD of 299, 862, 72 using LCM Formula

Given numbers are 299, 862, 72

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

Apply this formula for all numbers.

Step1:

LCM(299, 862) = 257738

GCD(299, 862) = ( 299 x 862 ) / 257738

= 299 / 862

= 299


Step2:

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

= 1 / 72

= 1


So, Greatest Common Divisor of 299, 862, 72 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 299, 862, 72

Given numbers are 299, 862, 72
The greatest common divisor of numbers 299, 862, 72 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 299, 862, 72 is 1.

FAQs on GCD of 299, 862, 72 Calculator

1. What is the GCD of 299, 862, 72?

GCD of given numbers 299, 862, 72 is 1


2. How to calculate the greatest common divisor of 299, 862, 72?

We can find the highest common divisor of 299, 862, 72 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 299, 862, 72 i.e 1.


3. How can I use the GCD of 299, 862, 72Calculator?

Out the numbers 299, 862, 72 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.