Greatest Common Factor of 3737/831, 4899/871

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3737/831, 4899/871

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 3737/831,4899/871

Given fractions are 3737/831,4899/871

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 3737,4899

Greatest Common Factor of Numerators i.e. GCF of 3737,4899 is 1 .

LCM of Denominators means LCM of 831,871 as per the given fractions.

LCM of 831,871 is 723801 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3737,4899

GCF of Fractions 3737/831,4899/871 is 1/723801

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

Greatest Common Factor of 3737,4899 By Matching Biggest Common Factor Method

Greatest Common Factor of 3737,4899 By Matching Biggest Common Factor Method

Factors of 3737

List of positive integer factors of 3737 that divides 3737 without a remainder.

1,37,101,3737

Factors of 4899

List of positive integer factors of 4899 that divides 4899 without a remainder.

1,3,23,69,71,213,1633,4899

Greatest Common Factor

We found the factors 3737,4899 . The biggest common factor number is the GCF number.
So the greatest common factor 3737,4899 is 1.

Lets's calculate LCM of 831,871

Given numbers has no common factors except 1. So, there LCM is their product i.e 723801

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/723801

Therefore, the GCF of Fractions 3737/831,4899/871 is 1/723801

Least Common Multiple of 831,871 with GCF Formula

Least Common Multiple of 831,871 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 831,871 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(831,871) = 1

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

GCF(831,871) x common factors =1 x 1 = 1

LCM(831,871) = ( 831 × 871 ) / 1

LCM(831,871) = 723801 / 1

LCM(831,871) = 723801


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 3737/831, 4899/871

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 3737/831, 4899/871?

Answer: GCF of Numerators as per given numbers 3737/831, 4899/871 is

GCF of Numerators i.e. for 3737,4899 is 1

LCM of denominators i.e. for 831,871 is 723801.

Thus, GCF of Fractions is 1/723801.Finally, GCF of Fractions for 3737/831, 4899/871 is 1/723801.