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GCD of 630, 798, 616 Calculator

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


Online GCD Calculator is useful to find the GCD of 630, 798, 616 quickly. Get the easiest ways to solve the greatest common divisor of 630, 798, 616 i.e 14 in different methods as follows.

GCD of

How to Find GCD of Numbers 630, 798, 616 with Factoring?

Given Input numbers are 630, 798, 616

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

Divisors of 630 :

The positive integer divisors of 630 that completely divides 630 are.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Divisors of 798 :

The positive integer divisors of 798 that completely divides 798 are.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616


GCD of numbers is the greatest common divisor

So, the GCD (630, 798, 616) = 14.

Find GCD of 630, 798, 616 using Prime Factorization

Given numbers are 630, 798, 616

The list of prime factors of all numbers are

Prime factors of 630 are 2 x 3 x 3 x 5 x 7

Prime factors of 798 are 2 x 3 x 7 x 19

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

The highest common occurrence is 21 x 71

Therefore, GCD of 630, 798, 616 is 14.

Steps to Calculate GCD of 630, 798, 616 using LCM Formula

Given numbers are 630, 798, 616

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

Apply this formula for all numbers.

Step1:

LCM(630, 798) = 11970

GCD(630, 798) = ( 630 x 798 ) / 11970

= 630 / 798

= 630


Step2:

LCM(42, 616) = 1848

GCD(42, 616) = ( 42 x 616 ) / 1848

= 42 / 616

= 42


So, Greatest Common Divisor of 630, 798, 616 is 14

GCD of Numbers Calculation Examples

Greatest Common Divisor of 630, 798, 616

Given numbers are 630, 798, 616
The greatest common divisor of numbers 630, 798, 616 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 630, 798, 616 is 14.

FAQs on GCD of 630, 798, 616 Calculator

1. What is the GCD of 630, 798, 616?

GCD of given numbers 630, 798, 616 is 14


2. How to calculate the greatest common divisor of 630, 798, 616?

We can find the highest common divisor of 630, 798, 616 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 630, 798, 616 i.e 14.


3. How can I use the GCD of 630, 798, 616Calculator?

Out the numbers 630, 798, 616 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.