Greatest Common Factor of 9918/34, 4049/107

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9918/34, 4049/107

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 9918/34,4049/107

Given fractions are 9918/34,4049/107

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 9918,4049

Greatest Common Factor of Numerators i.e. GCF of 9918,4049 is 1 .

LCM of Denominators means LCM of 34,107 as per the given fractions.

LCM of 34,107 is 3638 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9918,4049

GCF of Fractions 9918/34,4049/107 is 1/3638

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

Greatest Common Factor of 9918,4049 By Matching Biggest Common Factor Method

Greatest Common Factor of 9918,4049 By Matching Biggest Common Factor Method

Factors of 9918

List of positive integer factors of 9918 that divides 9918 without a remainder.

1,2,3,6,9,18,19,29,38,57,58,87,114,171,174,261,342,522,551,1102,1653,3306,4959,9918

Factors of 4049

List of positive integer factors of 4049 that divides 4049 without a remainder.

1,4049

Greatest Common Factor

We found the factors 9918,4049 . The biggest common factor number is the GCF number.
So the greatest common factor 9918,4049 is 1.

Lets's calculate LCM of 34,107

Given numbers has no common factors except 1. So, there LCM is their product i.e 3638

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3638

Therefore, the GCF of Fractions 9918/34,4049/107 is 1/3638

Least Common Multiple of 34,107 with GCF Formula

Least Common Multiple of 34,107 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 34,107 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,107) = 1

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

GCF(34,107) x common factors =1 x 1 = 1

LCM(34,107) = ( 34 × 107 ) / 1

LCM(34,107) = 3638 / 1

LCM(34,107) = 3638


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 9918/34, 4049/107

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 9918/34, 4049/107?

Answer: GCF of Numerators as per given numbers 9918/34, 4049/107 is

GCF of Numerators i.e. for 9918,4049 is 1

LCM of denominators i.e. for 34,107 is 3638.

Thus, GCF of Fractions is 1/3638.Finally, GCF of Fractions for 9918/34, 4049/107 is 1/3638.