Greatest Common Factor of 616/37, 318/19, 916/18

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 616/37, 318/19, 916/18

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 616/37,318/19,916/18

Given fractions are 616/37,318/19,916/18

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 616,318,916

Greatest Common Factor of Numerators i.e. GCF of 616,318,916 is 2 .

LCM of Denominators means LCM of 37,19,18 as per the given fractions.

LCM of 37,19,18 is 12654 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 616,318,916

GCF of Fractions 616/37,318/19,916/18 is 2/12654

2 616, 318, 916
308, 159, 458

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 616,318,916 By Matching Biggest Common Factor Method

Greatest Common Factor of 616,318,916 By Matching Biggest Common Factor Method

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

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

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Factors of 916

List of positive integer factors of 916 that divides 916 without a remainder.

1,2,4,229,458,916

Greatest Common Factor

We found the factors 616,318,916 . The biggest common factor number is the GCF number.
So the greatest common factor 616,318,916 is 2.

Lets's calculate LCM of 37,19,18

Given numbers has no common factors except 1. So, there LCM is their product i.e 12654

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/12654

Therefore, the GCF of Fractions 616/37,318/19,916/18 is 2/12654

Least Common Multiple of 37,19,18 with GCF Formula

Least Common Multiple of 37,19,18 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 37,19,18 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,19,18) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(37,19,18) x common factors =1 x 1 = 1

LCM(37,19,18) = ( 37 × 19 × 18 ) / 1

LCM(37,19,18) = 12654 / 1

LCM(37,19,18) = 12654


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 616/37, 318/19, 916/18

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 616/37, 318/19, 916/18?

Answer: GCF of Numerators as per given numbers 616/37, 318/19, 916/18 is

GCF of Numerators i.e. for 616,318,916 is 2

LCM of denominators i.e. for 37,19,18 is 12654.

Thus, GCF of Fractions is 2/12654.Finally, GCF of Fractions for 616/37, 318/19, 916/18 is 2/12654.