Greatest Common Factor of 9374/118, 4026/259

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9374/118, 4026/259

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 9374/118,4026/259

Given fractions are 9374/118,4026/259

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 9374,4026

Greatest Common Factor of Numerators i.e. GCF of 9374,4026 is 2 .

LCM of Denominators means LCM of 118,259 as per the given fractions.

LCM of 118,259 is 30562 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9374,4026

GCF of Fractions 9374/118,4026/259 is 2/30562

2 9374, 4026
4687, 2013

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

Greatest Common Factor of 9374,4026 By Matching Biggest Common Factor Method

Greatest Common Factor of 9374,4026 By Matching Biggest Common Factor Method

Factors of 9374

List of positive integer factors of 9374 that divides 9374 without a remainder.

1,2,43,86,109,218,4687,9374

Factors of 4026

List of positive integer factors of 4026 that divides 4026 without a remainder.

1,2,3,6,11,22,33,61,66,122,183,366,671,1342,2013,4026

Greatest Common Factor

We found the factors 9374,4026 . The biggest common factor number is the GCF number.
So the greatest common factor 9374,4026 is 2.

Lets's calculate LCM of 118,259

Given numbers has no common factors except 1. So, there LCM is their product i.e 30562

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/30562

Therefore, the GCF of Fractions 9374/118,4026/259 is 2/30562

Least Common Multiple of 118,259 with GCF Formula

Least Common Multiple of 118,259 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 118,259 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(118,259) = 1

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

GCF(118,259) x common factors =1 x 1 = 1

LCM(118,259) = ( 118 × 259 ) / 1

LCM(118,259) = 30562 / 1

LCM(118,259) = 30562


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 9374/118, 4026/259

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 9374/118, 4026/259?

Answer: GCF of Numerators as per given numbers 9374/118, 4026/259 is

GCF of Numerators i.e. for 9374,4026 is 2

LCM of denominators i.e. for 118,259 is 30562.

Thus, GCF of Fractions is 2/30562.Finally, GCF of Fractions for 9374/118, 4026/259 is 2/30562.