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GCD of 988, 734, 16 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, 734, 16 quickly. Get the easiest ways to solve the greatest common divisor of 988, 734, 16 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 988, 734, 16 with Factoring?

Given Input numbers are 988, 734, 16

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 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734

Divisors of 16 :

The positive integer divisors of 16 that completely divides 16 are.

1, 2, 4, 8, 16


GCD of numbers is the greatest common divisor

So, the GCD (988, 734, 16) = 2.

Find GCD of 988, 734, 16 using Prime Factorization

Given numbers are 988, 734, 16

The list of prime factors of all numbers are

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

Prime factors of 734 are 2 x 367

Prime factors of 16 are 2 x 2 x 2 x 2

The highest common occurrence is 21

Therefore, GCD of 988, 734, 16 is 2.

Steps to Calculate GCD of 988, 734, 16 using LCM Formula

Given numbers are 988, 734, 16

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

Apply this formula for all numbers.

Step1:

LCM(988, 734) = 362596

GCD(988, 734) = ( 988 x 734 ) / 362596

= 988 / 734

= 988


Step2:

LCM(2, 16) = 16

GCD(2, 16) = ( 2 x 16 ) / 16

= 2 / 16

= 2


So, Greatest Common Divisor of 988, 734, 16 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 988, 734, 16

Given numbers are 988, 734, 16
The greatest common divisor of numbers 988, 734, 16 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 988, 734, 16 is 2.

FAQs on GCD of 988, 734, 16 Calculator

1. What is the GCD of 988, 734, 16?

GCD of given numbers 988, 734, 16 is 2


2. How to calculate the greatest common divisor of 988, 734, 16?

We can find the highest common divisor of 988, 734, 16 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, 734, 16 i.e 2.


3. How can I use the GCD of 988, 734, 16Calculator?

Out the numbers 988, 734, 16 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.