Greatest Common Factor of 8767/727, 5145/9266

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8767/727, 5145/9266

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 8767/727,5145/9266

Given fractions are 8767/727,5145/9266

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 8767,5145

Greatest Common Factor of Numerators i.e. GCF of 8767,5145 is 1 .

LCM of Denominators means LCM of 727,9266 as per the given fractions.

LCM of 727,9266 is 6736382 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8767,5145

GCF of Fractions 8767/727,5145/9266 is 1/6736382

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

Greatest Common Factor of 8767,5145 By Matching Biggest Common Factor Method

Greatest Common Factor of 8767,5145 By Matching Biggest Common Factor Method

Factors of 8767

List of positive integer factors of 8767 that divides 8767 without a remainder.

1,11,797,8767

Factors of 5145

List of positive integer factors of 5145 that divides 5145 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,343,735,1029,1715,5145

Greatest Common Factor

We found the factors 8767,5145 . The biggest common factor number is the GCF number.
So the greatest common factor 8767,5145 is 1.

Lets's calculate LCM of 727,9266

Given numbers has no common factors except 1. So, there LCM is their product i.e 6736382

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6736382

Therefore, the GCF of Fractions 8767/727,5145/9266 is 1/6736382

Least Common Multiple of 727,9266 with GCF Formula

Least Common Multiple of 727,9266 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 727,9266 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(727,9266) = 1

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

GCF(727,9266) x common factors =1 x 1 = 1

LCM(727,9266) = ( 727 × 9266 ) / 1

LCM(727,9266) = 6736382 / 1

LCM(727,9266) = 6736382


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 8767/727, 5145/9266

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 8767/727, 5145/9266?

Answer: GCF of Numerators as per given numbers 8767/727, 5145/9266 is

GCF of Numerators i.e. for 8767,5145 is 1

LCM of denominators i.e. for 727,9266 is 6736382.

Thus, GCF of Fractions is 1/6736382.Finally, GCF of Fractions for 8767/727, 5145/9266 is 1/6736382.