Greatest Common Factor of 484/46, 456/73, 871/68

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 484/46, 456/73, 871/68

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 484/46,456/73,871/68

Given fractions are 484/46,456/73,871/68

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 484,456,871

Greatest Common Factor of Numerators i.e. GCF of 484,456,871 is 1 .

LCM of Denominators means LCM of 46,73,68 as per the given fractions.

LCM of 46,73,68 is 114172 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 484,456,871

GCF of Fractions 484/46,456/73,871/68 is 1/114172

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

Greatest Common Factor of 484,456,871 By Matching Biggest Common Factor Method

Greatest Common Factor of 484,456,871 By Matching Biggest Common Factor Method

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Factors of 871

List of positive integer factors of 871 that divides 871 without a remainder.

1,13,67,871

Greatest Common Factor

We found the factors 484,456,871 . The biggest common factor number is the GCF number.
So the greatest common factor 484,456,871 is 1.

Lets's calculate LCM of 46,73,68

2 46, 73, 68
23, 73, 34

∴ So the LCM of the given numbers is 2 x 23 x 73 x 34 = 114172

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/114172

Therefore, the GCF of Fractions 484/46,456/73,871/68 is 1/114172

Least Common Multiple of 46,73,68 with GCF Formula

Least Common Multiple of 46,73,68 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 46,73,68 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,73,68) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(46,73,68) x common factors =1 x 2 = 2

LCM(46,73,68) = ( 46 × 73 × 68 ) / 2

LCM(46,73,68) = 228344 / 2

LCM(46,73,68) = 114172


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 484/46, 456/73, 871/68

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 484/46, 456/73, 871/68?

Answer: GCF of Numerators as per given numbers 484/46, 456/73, 871/68 is

GCF of Numerators i.e. for 484,456,871 is 1

LCM of denominators i.e. for 46,73,68 is 114172.

Thus, GCF of Fractions is 1/114172.Finally, GCF of Fractions for 484/46, 456/73, 871/68 is 1/114172.