Greatest Common Factor of 8307/835, 5514/365

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8307/835, 5514/365

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 8307/835,5514/365

Given fractions are 8307/835,5514/365

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 8307,5514

Greatest Common Factor of Numerators i.e. GCF of 8307,5514 is 3 .

LCM of Denominators means LCM of 835,365 as per the given fractions.

LCM of 835,365 is 60955 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8307,5514

GCF of Fractions 8307/835,5514/365 is 3/60955

3 8307, 5514
2769, 1838

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 8307,5514 By Matching Biggest Common Factor Method

Greatest Common Factor of 8307,5514 By Matching Biggest Common Factor Method

Factors of 8307

List of positive integer factors of 8307 that divides 8307 without a remainder.

1,3,9,13,39,71,117,213,639,923,2769,8307

Factors of 5514

List of positive integer factors of 5514 that divides 5514 without a remainder.

1,2,3,6,919,1838,2757,5514

Greatest Common Factor

We found the factors 8307,5514 . The biggest common factor number is the GCF number.
So the greatest common factor 8307,5514 is 3.

Lets's calculate LCM of 835,365

5 835, 365
167, 73

∴ So the LCM of the given numbers is 5 x 167 x 73 = 60955

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/60955

Therefore, the GCF of Fractions 8307/835,5514/365 is 3/60955

Least Common Multiple of 835,365 with GCF Formula

Least Common Multiple of 835,365 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 835,365 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(835,365) = 5

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

GCF(835,365) x common factors =5 x 1 = 5

LCM(835,365) = ( 835 × 365 ) / 5

LCM(835,365) = 304775 / 5

LCM(835,365) = 60955


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 8307/835, 5514/365

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 8307/835, 5514/365?

Answer: GCF of Numerators as per given numbers 8307/835, 5514/365 is

GCF of Numerators i.e. for 8307,5514 is 3

LCM of denominators i.e. for 835,365 is 60955.

Thus, GCF of Fractions is 3/60955.Finally, GCF of Fractions for 8307/835, 5514/365 is 3/60955.