Greatest Common Factor of 3781/29, 4161/337

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3781/29, 4161/337

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 3781/29,4161/337

Given fractions are 3781/29,4161/337

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 3781,4161

Greatest Common Factor of Numerators i.e. GCF of 3781,4161 is 19 .

LCM of Denominators means LCM of 29,337 as per the given fractions.

LCM of 29,337 is 9773 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3781,4161

GCF of Fractions 3781/29,4161/337 is 19/9773

19 3781, 4161
199, 219

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 3781,4161 By Matching Biggest Common Factor Method

Greatest Common Factor of 3781,4161 By Matching Biggest Common Factor Method

Factors of 3781

List of positive integer factors of 3781 that divides 3781 without a remainder.

1,19,199,3781

Factors of 4161

List of positive integer factors of 4161 that divides 4161 without a remainder.

1,3,19,57,73,219,1387,4161

Greatest Common Factor

We found the factors 3781,4161 . The biggest common factor number is the GCF number.
So the greatest common factor 3781,4161 is 19.

Lets's calculate LCM of 29,337

Given numbers has no common factors except 1. So, there LCM is their product i.e 9773

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/9773

Therefore, the GCF of Fractions 3781/29,4161/337 is 19/9773

Least Common Multiple of 29,337 with GCF Formula

Least Common Multiple of 29,337 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 29,337 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,337) = 1

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

GCF(29,337) x common factors =1 x 1 = 1

LCM(29,337) = ( 29 × 337 ) / 1

LCM(29,337) = 9773 / 1

LCM(29,337) = 9773


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 3781/29, 4161/337

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 3781/29, 4161/337?

Answer: GCF of Numerators as per given numbers 3781/29, 4161/337 is

GCF of Numerators i.e. for 3781,4161 is 19

LCM of denominators i.e. for 29,337 is 9773.

Thus, GCF of Fractions is 19/9773.Finally, GCF of Fractions for 3781/29, 4161/337 is 19/9773.