Greatest Common Factor of 3098/616, 4103/1197

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3098/616, 4103/1197

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 3098/616,4103/1197

Given fractions are 3098/616,4103/1197

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 3098,4103

Greatest Common Factor of Numerators i.e. GCF of 3098,4103 is 1 .

LCM of Denominators means LCM of 616,1197 as per the given fractions.

LCM of 616,1197 is 105336 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3098,4103

GCF of Fractions 3098/616,4103/1197 is 1/105336

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3098,4103 By Matching Biggest Common Factor Method

Greatest Common Factor of 3098,4103 By Matching Biggest Common Factor Method

Factors of 3098

List of positive integer factors of 3098 that divides 3098 without a remainder.

1,2,1549,3098

Factors of 4103

List of positive integer factors of 4103 that divides 4103 without a remainder.

1,11,373,4103

Greatest Common Factor

We found the factors 3098,4103 . The biggest common factor number is the GCF number.
So the greatest common factor 3098,4103 is 1.

Lets's calculate LCM of 616,1197

7 616, 1197
88, 171

∴ So the LCM of the given numbers is 7 x 88 x 171 = 105336

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/105336

Therefore, the GCF of Fractions 3098/616,4103/1197 is 1/105336

Least Common Multiple of 616,1197 with GCF Formula

Least Common Multiple of 616,1197 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 616,1197 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(616,1197) = 7

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

GCF(616,1197) x common factors =7 x 1 = 7

LCM(616,1197) = ( 616 × 1197 ) / 7

LCM(616,1197) = 737352 / 7

LCM(616,1197) = 105336


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 3098/616, 4103/1197

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 3098/616, 4103/1197?

Answer: GCF of Numerators as per given numbers 3098/616, 4103/1197 is

GCF of Numerators i.e. for 3098,4103 is 1

LCM of denominators i.e. for 616,1197 is 105336.

Thus, GCF of Fractions is 1/105336.Finally, GCF of Fractions for 3098/616, 4103/1197 is 1/105336.