Greatest Common Factor of 4347/146, 5576/8646

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4347/146, 5576/8646

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 4347/146,5576/8646

Given fractions are 4347/146,5576/8646

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 4347,5576

Greatest Common Factor of Numerators i.e. GCF of 4347,5576 is 1 .

LCM of Denominators means LCM of 146,8646 as per the given fractions.

LCM of 146,8646 is 631158 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4347,5576

GCF of Fractions 4347/146,5576/8646 is 1/631158

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

Greatest Common Factor of 4347,5576 By Matching Biggest Common Factor Method

Greatest Common Factor of 4347,5576 By Matching Biggest Common Factor Method

Factors of 4347

List of positive integer factors of 4347 that divides 4347 without a remainder.

1,3,7,9,21,23,27,63,69,161,189,207,483,621,1449,4347

Factors of 5576

List of positive integer factors of 5576 that divides 5576 without a remainder.

1,2,4,8,17,34,41,68,82,136,164,328,697,1394,2788,5576

Greatest Common Factor

We found the factors 4347,5576 . The biggest common factor number is the GCF number.
So the greatest common factor 4347,5576 is 1.

Lets's calculate LCM of 146,8646

2 146, 8646
73, 4323

∴ So the LCM of the given numbers is 2 x 73 x 4323 = 631158

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/631158

Therefore, the GCF of Fractions 4347/146,5576/8646 is 1/631158

Least Common Multiple of 146,8646 with GCF Formula

Least Common Multiple of 146,8646 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 146,8646 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(146,8646) = 2

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

GCF(146,8646) x common factors =2 x 1 = 2

LCM(146,8646) = ( 146 × 8646 ) / 2

LCM(146,8646) = 1262316 / 2

LCM(146,8646) = 631158


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 4347/146, 5576/8646

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 4347/146, 5576/8646?

Answer: GCF of Numerators as per given numbers 4347/146, 5576/8646 is

GCF of Numerators i.e. for 4347,5576 is 1

LCM of denominators i.e. for 146,8646 is 631158.

Thus, GCF of Fractions is 1/631158.Finally, GCF of Fractions for 4347/146, 5576/8646 is 1/631158.