Greatest Common Factor of 9116/509, 1404/8899

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9116/509, 1404/8899

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 9116/509,1404/8899

Given fractions are 9116/509,1404/8899

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 9116,1404

Greatest Common Factor of Numerators i.e. GCF of 9116,1404 is 4 .

LCM of Denominators means LCM of 509,8899 as per the given fractions.

LCM of 509,8899 is 4529591 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9116,1404

GCF of Fractions 9116/509,1404/8899 is 4/4529591

2 9116, 1404
2 4558, 702
2279, 351

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 9116,1404 By Matching Biggest Common Factor Method

Greatest Common Factor of 9116,1404 By Matching Biggest Common Factor Method

Factors of 9116

List of positive integer factors of 9116 that divides 9116 without a remainder.

1,2,4,43,53,86,106,172,212,2279,4558,9116

Factors of 1404

List of positive integer factors of 1404 that divides 1404 without a remainder.

1,2,3,4,6,9,12,13,18,26,27,36,39,52,54,78,108,117,156,234,351,468,702,1404

Greatest Common Factor

We found the factors 9116,1404 . The biggest common factor number is the GCF number.
So the greatest common factor 9116,1404 is 4.

Lets's calculate LCM of 509,8899

Given numbers has no common factors except 1. So, there LCM is their product i.e 4529591

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/4529591

Therefore, the GCF of Fractions 9116/509,1404/8899 is 4/4529591

Least Common Multiple of 509,8899 with GCF Formula

Least Common Multiple of 509,8899 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 509,8899 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(509,8899) = 1

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

GCF(509,8899) x common factors =1 x 1 = 1

LCM(509,8899) = ( 509 × 8899 ) / 1

LCM(509,8899) = 4529591 / 1

LCM(509,8899) = 4529591


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 9116/509, 1404/8899

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 9116/509, 1404/8899?

Answer: GCF of Numerators as per given numbers 9116/509, 1404/8899 is

GCF of Numerators i.e. for 9116,1404 is 4

LCM of denominators i.e. for 509,8899 is 4529591.

Thus, GCF of Fractions is 4/4529591.Finally, GCF of Fractions for 9116/509, 1404/8899 is 4/4529591.