Greatest Common Factor of 7667/130, 4833/146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7667/130, 4833/146

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 7667/130,4833/146

Given fractions are 7667/130,4833/146

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 7667,4833

Greatest Common Factor of Numerators i.e. GCF of 7667,4833 is 1 .

LCM of Denominators means LCM of 130,146 as per the given fractions.

LCM of 130,146 is 9490 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7667,4833

GCF of Fractions 7667/130,4833/146 is 1/9490

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

Greatest Common Factor of 7667,4833 By Matching Biggest Common Factor Method

Greatest Common Factor of 7667,4833 By Matching Biggest Common Factor Method

Factors of 7667

List of positive integer factors of 7667 that divides 7667 without a remainder.

1,11,17,41,187,451,697,7667

Factors of 4833

List of positive integer factors of 4833 that divides 4833 without a remainder.

1,3,9,27,179,537,1611,4833

Greatest Common Factor

We found the factors 7667,4833 . The biggest common factor number is the GCF number.
So the greatest common factor 7667,4833 is 1.

Lets's calculate LCM of 130,146

2 130, 146
65, 73

∴ So the LCM of the given numbers is 2 x 65 x 73 = 9490

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9490

Therefore, the GCF of Fractions 7667/130,4833/146 is 1/9490

Least Common Multiple of 130,146 with GCF Formula

Least Common Multiple of 130,146 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 130,146 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(130,146) = 2

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

GCF(130,146) x common factors =2 x 1 = 2

LCM(130,146) = ( 130 × 146 ) / 2

LCM(130,146) = 18980 / 2

LCM(130,146) = 9490


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 7667/130, 4833/146

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 7667/130, 4833/146?

Answer: GCF of Numerators as per given numbers 7667/130, 4833/146 is

GCF of Numerators i.e. for 7667,4833 is 1

LCM of denominators i.e. for 130,146 is 9490.

Thus, GCF of Fractions is 1/9490.Finally, GCF of Fractions for 7667/130, 4833/146 is 1/9490.