Greatest Common Factor of 3843/720, 1687/7805

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3843/720, 1687/7805

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 3843/720,1687/7805

Given fractions are 3843/720,1687/7805

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 3843,1687

Greatest Common Factor of Numerators i.e. GCF of 3843,1687 is 7 .

LCM of Denominators means LCM of 720,7805 as per the given fractions.

LCM of 720,7805 is 1123920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3843,1687

GCF of Fractions 3843/720,1687/7805 is 7/1123920

7 3843, 1687
549, 241

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 3843,1687 By Matching Biggest Common Factor Method

Greatest Common Factor of 3843,1687 By Matching Biggest Common Factor Method

Factors of 3843

List of positive integer factors of 3843 that divides 3843 without a remainder.

1,3,7,9,21,61,63,183,427,549,1281,3843

Factors of 1687

List of positive integer factors of 1687 that divides 1687 without a remainder.

1,7,241,1687

Greatest Common Factor

We found the factors 3843,1687 . The biggest common factor number is the GCF number.
So the greatest common factor 3843,1687 is 7.

Lets's calculate LCM of 720,7805

5 720, 7805
144, 1561

∴ So the LCM of the given numbers is 5 x 144 x 1561 = 1123920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1123920

Therefore, the GCF of Fractions 3843/720,1687/7805 is 7/1123920

Least Common Multiple of 720,7805 with GCF Formula

Least Common Multiple of 720,7805 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 720,7805 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(720,7805) = 5

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

GCF(720,7805) x common factors =5 x 1 = 5

LCM(720,7805) = ( 720 × 7805 ) / 5

LCM(720,7805) = 5619600 / 5

LCM(720,7805) = 1123920


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 3843/720, 1687/7805

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 3843/720, 1687/7805?

Answer: GCF of Numerators as per given numbers 3843/720, 1687/7805 is

GCF of Numerators i.e. for 3843,1687 is 7

LCM of denominators i.e. for 720,7805 is 1123920.

Thus, GCF of Fractions is 7/1123920.Finally, GCF of Fractions for 3843/720, 1687/7805 is 7/1123920.