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GCD of 988, 610, 822, 118 Calculator

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


Online GCD Calculator is useful to find the GCD of 988, 610, 822, 118 quickly. Get the easiest ways to solve the greatest common divisor of 988, 610, 822, 118 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 988, 610, 822, 118 with Factoring?

Given Input numbers are 988, 610, 822, 118

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

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 610 :

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

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

Divisors of 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 118 :

The positive integer divisors of 118 that completely divides 118 are.

1, 2, 59, 118


GCD of numbers is the greatest common divisor

So, the GCD (988, 610, 822, 118) = 2.

Find GCD of 988, 610, 822, 118 using Prime Factorization

Given numbers are 988, 610, 822, 118

The list of prime factors of all numbers are

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

Prime factors of 610 are 2 x 5 x 61

Prime factors of 822 are 2 x 3 x 137

Prime factors of 118 are 2 x 59

The highest common occurrence is 21

Therefore, GCD of 988, 610, 822, 118 is 2.

Steps to Calculate GCD of 988, 610, 822, 118 using LCM Formula

Given numbers are 988, 610, 822, 118

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

Apply this formula for all numbers.

Step1:

LCM(988, 610) = 301340

GCD(988, 610) = ( 988 x 610 ) / 301340

= 988 / 610

= 988


Step2:

LCM(2, 822) = 822

GCD(2, 822) = ( 2 x 822 ) / 822

= 2 / 822

= 2


Step3:

LCM(2, 118) = 118

GCD(2, 118) = ( 2 x 118 ) / 118

= 2 / 118

= 2


So, Greatest Common Divisor of 988, 610, 822, 118 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 988, 610, 822, 118

Given numbers are 988, 610, 822, 118
The greatest common divisor of numbers 988, 610, 822, 118 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 988, 610, 822, 118 is 2.

FAQs on GCD of 988, 610, 822, 118 Calculator

1. What is the GCD of 988, 610, 822, 118?

GCD of given numbers 988, 610, 822, 118 is 2


2. How to calculate the greatest common divisor of 988, 610, 822, 118?

We can find the highest common divisor of 988, 610, 822, 118 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 988, 610, 822, 118 i.e 2.


3. How can I use the GCD of 988, 610, 822, 118Calculator?

Out the numbers 988, 610, 822, 118 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.