LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 988, 234, 114 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, 234, 114 quickly. Get the easiest ways to solve the greatest common divisor of 988, 234, 114 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 988, 234, 114 with Factoring?

Given Input numbers are 988, 234, 114

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 234 :

The positive integer divisors of 234 that completely divides 234 are.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114


GCD of numbers is the greatest common divisor

So, the GCD (988, 234, 114) = 2.

Find GCD of 988, 234, 114 using Prime Factorization

Given numbers are 988, 234, 114

The list of prime factors of all numbers are

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

Prime factors of 234 are 2 x 3 x 3 x 13

Prime factors of 114 are 2 x 3 x 19

The highest common occurrence is 21

Therefore, GCD of 988, 234, 114 is 2.

Steps to Calculate GCD of 988, 234, 114 using LCM Formula

Given numbers are 988, 234, 114

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

Apply this formula for all numbers.

Step1:

LCM(988, 234) = 8892

GCD(988, 234) = ( 988 x 234 ) / 8892

= 988 / 234

= 988


Step2:

LCM(26, 114) = 1482

GCD(26, 114) = ( 26 x 114 ) / 1482

= 26 / 114

= 26


So, Greatest Common Divisor of 988, 234, 114 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 988, 234, 114

Given numbers are 988, 234, 114
The greatest common divisor of numbers 988, 234, 114 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 988, 234, 114 is 2.

FAQs on GCD of 988, 234, 114 Calculator

1. What is the GCD of 988, 234, 114?

GCD of given numbers 988, 234, 114 is 2


2. How to calculate the greatest common divisor of 988, 234, 114?

We can find the highest common divisor of 988, 234, 114 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, 234, 114 i.e 2.


3. How can I use the GCD of 988, 234, 114Calculator?

Out the numbers 988, 234, 114 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.