Greatest Common Factor of 4346/868, 6345/7948

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4346/868, 6345/7948

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 4346/868,6345/7948

Given fractions are 4346/868,6345/7948

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 4346,6345

Greatest Common Factor of Numerators i.e. GCF of 4346,6345 is 1 .

LCM of Denominators means LCM of 868,7948 as per the given fractions.

LCM of 868,7948 is 1724716 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4346,6345

GCF of Fractions 4346/868,6345/7948 is 1/1724716

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

Greatest Common Factor of 4346,6345 By Matching Biggest Common Factor Method

Greatest Common Factor of 4346,6345 By Matching Biggest Common Factor Method

Factors of 4346

List of positive integer factors of 4346 that divides 4346 without a remainder.

1,2,41,53,82,106,2173,4346

Factors of 6345

List of positive integer factors of 6345 that divides 6345 without a remainder.

1,3,5,9,15,27,45,47,135,141,235,423,705,1269,2115,6345

Greatest Common Factor

We found the factors 4346,6345 . The biggest common factor number is the GCF number.
So the greatest common factor 4346,6345 is 1.

Lets's calculate LCM of 868,7948

2 868, 7948
2 434, 3974
217, 1987

∴ So the LCM of the given numbers is 2 x 2 x 217 x 1987 = 1724716

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1724716

Therefore, the GCF of Fractions 4346/868,6345/7948 is 1/1724716

Least Common Multiple of 868,7948 with GCF Formula

Least Common Multiple of 868,7948 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 868,7948 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(868,7948) = 4

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

GCF(868,7948) x common factors =4 x 1 = 4

LCM(868,7948) = ( 868 × 7948 ) / 4

LCM(868,7948) = 6898864 / 4

LCM(868,7948) = 1724716


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 4346/868, 6345/7948

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 4346/868, 6345/7948?

Answer: GCF of Numerators as per given numbers 4346/868, 6345/7948 is

GCF of Numerators i.e. for 4346,6345 is 1

LCM of denominators i.e. for 868,7948 is 1724716.

Thus, GCF of Fractions is 1/1724716.Finally, GCF of Fractions for 4346/868, 6345/7948 is 1/1724716.