Greatest Common Factor of 9230/438, 1135/3142

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9230/438, 1135/3142

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 9230/438,1135/3142

Given fractions are 9230/438,1135/3142

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 9230,1135

Greatest Common Factor of Numerators i.e. GCF of 9230,1135 is 5 .

LCM of Denominators means LCM of 438,3142 as per the given fractions.

LCM of 438,3142 is 688098 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9230,1135

GCF of Fractions 9230/438,1135/3142 is 5/688098

5 9230, 1135
1846, 227

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 9230,1135 By Matching Biggest Common Factor Method

Greatest Common Factor of 9230,1135 By Matching Biggest Common Factor Method

Factors of 9230

List of positive integer factors of 9230 that divides 9230 without a remainder.

1,2,5,10,13,26,65,71,130,142,355,710,923,1846,4615,9230

Factors of 1135

List of positive integer factors of 1135 that divides 1135 without a remainder.

1,5,227,1135

Greatest Common Factor

We found the factors 9230,1135 . The biggest common factor number is the GCF number.
So the greatest common factor 9230,1135 is 5.

Lets's calculate LCM of 438,3142

2 438, 3142
219, 1571

∴ So the LCM of the given numbers is 2 x 219 x 1571 = 688098

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/688098

Therefore, the GCF of Fractions 9230/438,1135/3142 is 5/688098

Least Common Multiple of 438,3142 with GCF Formula

Least Common Multiple of 438,3142 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 438,3142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(438,3142) = 2

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

GCF(438,3142) x common factors =2 x 1 = 2

LCM(438,3142) = ( 438 × 3142 ) / 2

LCM(438,3142) = 1376196 / 2

LCM(438,3142) = 688098


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 9230/438, 1135/3142

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 9230/438, 1135/3142?

Answer: GCF of Numerators as per given numbers 9230/438, 1135/3142 is

GCF of Numerators i.e. for 9230,1135 is 5

LCM of denominators i.e. for 438,3142 is 688098.

Thus, GCF of Fractions is 5/688098.Finally, GCF of Fractions for 9230/438, 1135/3142 is 5/688098.