Greatest Common Factor of 4063/282, 4809/8720

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4063/282, 4809/8720

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 4063/282,4809/8720

Given fractions are 4063/282,4809/8720

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 4063,4809

Greatest Common Factor of Numerators i.e. GCF of 4063,4809 is 1 .

LCM of Denominators means LCM of 282,8720 as per the given fractions.

LCM of 282,8720 is 1229520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4063,4809

GCF of Fractions 4063/282,4809/8720 is 1/1229520

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

Greatest Common Factor of 4063,4809 By Matching Biggest Common Factor Method

Greatest Common Factor of 4063,4809 By Matching Biggest Common Factor Method

Factors of 4063

List of positive integer factors of 4063 that divides 4063 without a remainder.

1,17,239,4063

Factors of 4809

List of positive integer factors of 4809 that divides 4809 without a remainder.

1,3,7,21,229,687,1603,4809

Greatest Common Factor

We found the factors 4063,4809 . The biggest common factor number is the GCF number.
So the greatest common factor 4063,4809 is 1.

Lets's calculate LCM of 282,8720

2 282, 8720
141, 4360

∴ So the LCM of the given numbers is 2 x 141 x 4360 = 1229520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1229520

Therefore, the GCF of Fractions 4063/282,4809/8720 is 1/1229520

Least Common Multiple of 282,8720 with GCF Formula

Least Common Multiple of 282,8720 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 282,8720 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(282,8720) = 2

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

GCF(282,8720) x common factors =2 x 1 = 2

LCM(282,8720) = ( 282 × 8720 ) / 2

LCM(282,8720) = 2459040 / 2

LCM(282,8720) = 1229520


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 4063/282, 4809/8720

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 4063/282, 4809/8720?

Answer: GCF of Numerators as per given numbers 4063/282, 4809/8720 is

GCF of Numerators i.e. for 4063,4809 is 1

LCM of denominators i.e. for 282,8720 is 1229520.

Thus, GCF of Fractions is 1/1229520.Finally, GCF of Fractions for 4063/282, 4809/8720 is 1/1229520.