Greatest Common Factor of 3943/29, 1737/840

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3943/29, 1737/840

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 3943/29,1737/840

Given fractions are 3943/29,1737/840

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 3943,1737

Greatest Common Factor of Numerators i.e. GCF of 3943,1737 is 1 .

LCM of Denominators means LCM of 29,840 as per the given fractions.

LCM of 29,840 is 24360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3943,1737

GCF of Fractions 3943/29,1737/840 is 1/24360

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

Greatest Common Factor of 3943,1737 By Matching Biggest Common Factor Method

Greatest Common Factor of 3943,1737 By Matching Biggest Common Factor Method

Factors of 3943

List of positive integer factors of 3943 that divides 3943 without a remainder.

1,3943

Factors of 1737

List of positive integer factors of 1737 that divides 1737 without a remainder.

1,3,9,193,579,1737

Greatest Common Factor

We found the factors 3943,1737 . The biggest common factor number is the GCF number.
So the greatest common factor 3943,1737 is 1.

Lets's calculate LCM of 29,840

Given numbers has no common factors except 1. So, there LCM is their product i.e 24360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24360

Therefore, the GCF of Fractions 3943/29,1737/840 is 1/24360

Least Common Multiple of 29,840 with GCF Formula

Least Common Multiple of 29,840 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 29,840 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,840) = 1

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

GCF(29,840) x common factors =1 x 1 = 1

LCM(29,840) = ( 29 × 840 ) / 1

LCM(29,840) = 24360 / 1

LCM(29,840) = 24360


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 3943/29, 1737/840

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 3943/29, 1737/840?

Answer: GCF of Numerators as per given numbers 3943/29, 1737/840 is

GCF of Numerators i.e. for 3943,1737 is 1

LCM of denominators i.e. for 29,840 is 24360.

Thus, GCF of Fractions is 1/24360.Finally, GCF of Fractions for 3943/29, 1737/840 is 1/24360.