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GCD of 610, 364, 988, 344 Calculator

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


Online GCD Calculator is useful to find the GCD of 610, 364, 988, 344 quickly. Get the easiest ways to solve the greatest common divisor of 610, 364, 988, 344 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 610, 364, 988, 344 with Factoring?

Given Input numbers are 610, 364, 988, 344

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

Divisors of 610 :

The positive integer divisors of 610 that completely divides 610 are.

1, 2, 5, 10, 61, 122, 305, 610

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344


GCD of numbers is the greatest common divisor

So, the GCD (610, 364, 988, 344) = 2.

Find GCD of 610, 364, 988, 344 using Prime Factorization

Given numbers are 610, 364, 988, 344

The list of prime factors of all numbers are

Prime factors of 610 are 2 x 5 x 61

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 988 are 2 x 2 x 13 x 19

Prime factors of 344 are 2 x 2 x 2 x 43

The highest common occurrence is 21

Therefore, GCD of 610, 364, 988, 344 is 2.

Steps to Calculate GCD of 610, 364, 988, 344 using LCM Formula

Given numbers are 610, 364, 988, 344

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

Apply this formula for all numbers.

Step1:

LCM(610, 364) = 111020

GCD(610, 364) = ( 610 x 364 ) / 111020

= 610 / 364

= 610


Step2:

LCM(2, 988) = 988

GCD(2, 988) = ( 2 x 988 ) / 988

= 2 / 988

= 2


Step3:

LCM(2, 344) = 344

GCD(2, 344) = ( 2 x 344 ) / 344

= 2 / 344

= 2


So, Greatest Common Divisor of 610, 364, 988, 344 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 610, 364, 988, 344

Given numbers are 610, 364, 988, 344
The greatest common divisor of numbers 610, 364, 988, 344 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 610, 364, 988, 344 is 2.

FAQs on GCD of 610, 364, 988, 344 Calculator

1. What is the GCD of 610, 364, 988, 344?

GCD of given numbers 610, 364, 988, 344 is 2


2. How to calculate the greatest common divisor of 610, 364, 988, 344?

We can find the highest common divisor of 610, 364, 988, 344 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 610, 364, 988, 344 i.e 2.


3. How can I use the GCD of 610, 364, 988, 344Calculator?

Out the numbers 610, 364, 988, 344 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.