Greatest Common Factor of 9134/434, 9374/8874

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9134/434, 9374/8874

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 9134/434,9374/8874

Given fractions are 9134/434,9374/8874

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 9134,9374

Greatest Common Factor of Numerators i.e. GCF of 9134,9374 is 2 .

LCM of Denominators means LCM of 434,8874 as per the given fractions.

LCM of 434,8874 is 1925658 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9134,9374

GCF of Fractions 9134/434,9374/8874 is 2/1925658

2 9134, 9374
4567, 4687

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

Greatest Common Factor of 9134,9374 By Matching Biggest Common Factor Method

Greatest Common Factor of 9134,9374 By Matching Biggest Common Factor Method

Factors of 9134

List of positive integer factors of 9134 that divides 9134 without a remainder.

1,2,4567,9134

Factors of 9374

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

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

Greatest Common Factor

We found the factors 9134,9374 . The biggest common factor number is the GCF number.
So the greatest common factor 9134,9374 is 2.

Lets's calculate LCM of 434,8874

2 434, 8874
217, 4437

∴ So the LCM of the given numbers is 2 x 217 x 4437 = 1925658

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1925658

Therefore, the GCF of Fractions 9134/434,9374/8874 is 2/1925658

Least Common Multiple of 434,8874 with GCF Formula

Least Common Multiple of 434,8874 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 434,8874 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(434,8874) = 2

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

GCF(434,8874) x common factors =2 x 1 = 2

LCM(434,8874) = ( 434 × 8874 ) / 2

LCM(434,8874) = 3851316 / 2

LCM(434,8874) = 1925658


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 9134/434, 9374/8874

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 9134/434, 9374/8874?

Answer: GCF of Numerators as per given numbers 9134/434, 9374/8874 is

GCF of Numerators i.e. for 9134,9374 is 2

LCM of denominators i.e. for 434,8874 is 1925658.

Thus, GCF of Fractions is 2/1925658.Finally, GCF of Fractions for 9134/434, 9374/8874 is 2/1925658.