Greatest Common Factor of 4739/703, 8103/1632

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4739/703, 8103/1632

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 4739/703,8103/1632

Given fractions are 4739/703,8103/1632

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 4739,8103

Greatest Common Factor of Numerators i.e. GCF of 4739,8103 is 1 .

LCM of Denominators means LCM of 703,1632 as per the given fractions.

LCM of 703,1632 is 1147296 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4739,8103

GCF of Fractions 4739/703,8103/1632 is 1/1147296

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

Greatest Common Factor of 4739,8103 By Matching Biggest Common Factor Method

Greatest Common Factor of 4739,8103 By Matching Biggest Common Factor Method

Factors of 4739

List of positive integer factors of 4739 that divides 4739 without a remainder.

1,7,677,4739

Factors of 8103

List of positive integer factors of 8103 that divides 8103 without a remainder.

1,3,37,73,111,219,2701,8103

Greatest Common Factor

We found the factors 4739,8103 . The biggest common factor number is the GCF number.
So the greatest common factor 4739,8103 is 1.

Lets's calculate LCM of 703,1632

Given numbers has no common factors except 1. So, there LCM is their product i.e 1147296

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1147296

Therefore, the GCF of Fractions 4739/703,8103/1632 is 1/1147296

Least Common Multiple of 703,1632 with GCF Formula

Least Common Multiple of 703,1632 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 703,1632 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(703,1632) = 1

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

GCF(703,1632) x common factors =1 x 1 = 1

LCM(703,1632) = ( 703 × 1632 ) / 1

LCM(703,1632) = 1147296 / 1

LCM(703,1632) = 1147296


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 4739/703, 8103/1632

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 4739/703, 8103/1632?

Answer: GCF of Numerators as per given numbers 4739/703, 8103/1632 is

GCF of Numerators i.e. for 4739,8103 is 1

LCM of denominators i.e. for 703,1632 is 1147296.

Thus, GCF of Fractions is 1/1147296.Finally, GCF of Fractions for 4739/703, 8103/1632 is 1/1147296.