Greatest Common Factor of 3380/146, 7851/1196

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3380/146, 7851/1196

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 3380/146,7851/1196

Given fractions are 3380/146,7851/1196

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 3380,7851

Greatest Common Factor of Numerators i.e. GCF of 3380,7851 is 1 .

LCM of Denominators means LCM of 146,1196 as per the given fractions.

LCM of 146,1196 is 87308 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3380,7851

GCF of Fractions 3380/146,7851/1196 is 1/87308

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

Greatest Common Factor of 3380,7851 By Matching Biggest Common Factor Method

Greatest Common Factor of 3380,7851 By Matching Biggest Common Factor Method

Factors of 3380

List of positive integer factors of 3380 that divides 3380 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,169,260,338,676,845,1690,3380

Factors of 7851

List of positive integer factors of 7851 that divides 7851 without a remainder.

1,3,2617,7851

Greatest Common Factor

We found the factors 3380,7851 . The biggest common factor number is the GCF number.
So the greatest common factor 3380,7851 is 1.

Lets's calculate LCM of 146,1196

2 146, 1196
73, 598

∴ So the LCM of the given numbers is 2 x 73 x 598 = 87308

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/87308

Therefore, the GCF of Fractions 3380/146,7851/1196 is 1/87308

Least Common Multiple of 146,1196 with GCF Formula

Least Common Multiple of 146,1196 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 146,1196 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(146,1196) = 2

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

GCF(146,1196) x common factors =2 x 1 = 2

LCM(146,1196) = ( 146 × 1196 ) / 2

LCM(146,1196) = 174616 / 2

LCM(146,1196) = 87308


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 3380/146, 7851/1196

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 3380/146, 7851/1196?

Answer: GCF of Numerators as per given numbers 3380/146, 7851/1196 is

GCF of Numerators i.e. for 3380,7851 is 1

LCM of denominators i.e. for 146,1196 is 87308.

Thus, GCF of Fractions is 1/87308.Finally, GCF of Fractions for 3380/146, 7851/1196 is 1/87308.