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GCD of 118, 616, 680, 994 Calculator

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


Online GCD Calculator is useful to find the GCD of 118, 616, 680, 994 quickly. Get the easiest ways to solve the greatest common divisor of 118, 616, 680, 994 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 118, 616, 680, 994 with Factoring?

Given Input numbers are 118, 616, 680, 994

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

Divisors of 118 :

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

1, 2, 59, 118

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

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 994 :

The positive integer divisors of 994 that completely divides 994 are.

1, 2, 7, 14, 71, 142, 497, 994


GCD of numbers is the greatest common divisor

So, the GCD (118, 616, 680, 994) = 2.

Find GCD of 118, 616, 680, 994 using Prime Factorization

Given numbers are 118, 616, 680, 994

The list of prime factors of all numbers are

Prime factors of 118 are 2 x 59

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

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

Prime factors of 994 are 2 x 7 x 71

The highest common occurrence is 21

Therefore, GCD of 118, 616, 680, 994 is 2.

Steps to Calculate GCD of 118, 616, 680, 994 using LCM Formula

Given numbers are 118, 616, 680, 994

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

Apply this formula for all numbers.

Step1:

LCM(118, 616) = 36344

GCD(118, 616) = ( 118 x 616 ) / 36344

= 118 / 616

= 118


Step2:

LCM(2, 680) = 680

GCD(2, 680) = ( 2 x 680 ) / 680

= 2 / 680

= 2


Step3:

LCM(2, 994) = 994

GCD(2, 994) = ( 2 x 994 ) / 994

= 2 / 994

= 2


So, Greatest Common Divisor of 118, 616, 680, 994 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 118, 616, 680, 994

Given numbers are 118, 616, 680, 994
The greatest common divisor of numbers 118, 616, 680, 994 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 118, 616, 680, 994 is 2.

FAQs on GCD of 118, 616, 680, 994 Calculator

1. What is the GCD of 118, 616, 680, 994?

GCD of given numbers 118, 616, 680, 994 is 2


2. How to calculate the greatest common divisor of 118, 616, 680, 994?

We can find the highest common divisor of 118, 616, 680, 994 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 118, 616, 680, 994 i.e 2.


3. How can I use the GCD of 118, 616, 680, 994Calculator?

Out the numbers 118, 616, 680, 994 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.