Greatest Common Factor of 8728/37, 4078/365

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8728/37, 4078/365

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 8728/37,4078/365

Given fractions are 8728/37,4078/365

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 8728,4078

Greatest Common Factor of Numerators i.e. GCF of 8728,4078 is 2 .

LCM of Denominators means LCM of 37,365 as per the given fractions.

LCM of 37,365 is 13505 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8728,4078

GCF of Fractions 8728/37,4078/365 is 2/13505

2 8728, 4078
4364, 2039

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 8728,4078 By Matching Biggest Common Factor Method

Greatest Common Factor of 8728,4078 By Matching Biggest Common Factor Method

Factors of 8728

List of positive integer factors of 8728 that divides 8728 without a remainder.

1,2,4,8,1091,2182,4364,8728

Factors of 4078

List of positive integer factors of 4078 that divides 4078 without a remainder.

1,2,2039,4078

Greatest Common Factor

We found the factors 8728,4078 . The biggest common factor number is the GCF number.
So the greatest common factor 8728,4078 is 2.

Lets's calculate LCM of 37,365

Given numbers has no common factors except 1. So, there LCM is their product i.e 13505

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/13505

Therefore, the GCF of Fractions 8728/37,4078/365 is 2/13505

Least Common Multiple of 37,365 with GCF Formula

Least Common Multiple of 37,365 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 37,365 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,365) = 1

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

GCF(37,365) x common factors =1 x 1 = 1

LCM(37,365) = ( 37 × 365 ) / 1

LCM(37,365) = 13505 / 1

LCM(37,365) = 13505


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 8728/37, 4078/365

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 8728/37, 4078/365?

Answer: GCF of Numerators as per given numbers 8728/37, 4078/365 is

GCF of Numerators i.e. for 8728,4078 is 2

LCM of denominators i.e. for 37,365 is 13505.

Thus, GCF of Fractions is 2/13505.Finally, GCF of Fractions for 8728/37, 4078/365 is 2/13505.