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GCD of 529, 989, 368 Calculator

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


Online GCD Calculator is useful to find the GCD of 529, 989, 368 quickly. Get the easiest ways to solve the greatest common divisor of 529, 989, 368 i.e 23 in different methods as follows.

GCD of

How to Find GCD of Numbers 529, 989, 368 with Factoring?

Given Input numbers are 529, 989, 368

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

Divisors of 529 :

The positive integer divisors of 529 that completely divides 529 are.

1, 23, 529

Divisors of 989 :

The positive integer divisors of 989 that completely divides 989 are.

1, 23, 43, 989

Divisors of 368 :

The positive integer divisors of 368 that completely divides 368 are.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368


GCD of numbers is the greatest common divisor

So, the GCD (529, 989, 368) = 23.

Find GCD of 529, 989, 368 using Prime Factorization

Given numbers are 529, 989, 368

The list of prime factors of all numbers are

Prime factors of 529 are 23 x 23

Prime factors of 989 are 23 x 43

Prime factors of 368 are 2 x 2 x 2 x 2 x 23

The highest common occurrence is 231

Therefore, GCD of 529, 989, 368 is 23.

Steps to Calculate GCD of 529, 989, 368 using LCM Formula

Given numbers are 529, 989, 368

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

Apply this formula for all numbers.

Step1:

LCM(529, 989) = 22747

GCD(529, 989) = ( 529 x 989 ) / 22747

= 529 / 989

= 529


Step2:

LCM(23, 368) = 368

GCD(23, 368) = ( 23 x 368 ) / 368

= 23 / 368

= 23


So, Greatest Common Divisor of 529, 989, 368 is 23

GCD of Numbers Calculation Examples

Greatest Common Divisor of 529, 989, 368

Given numbers are 529, 989, 368
The greatest common divisor of numbers 529, 989, 368 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 529, 989, 368 is 23.

FAQs on GCD of 529, 989, 368 Calculator

1. What is the GCD of 529, 989, 368?

GCD of given numbers 529, 989, 368 is 23


2. How to calculate the greatest common divisor of 529, 989, 368?

We can find the highest common divisor of 529, 989, 368 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 529, 989, 368 i.e 23.


3. How can I use the GCD of 529, 989, 368Calculator?

Out the numbers 529, 989, 368 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.