Greatest Common Factor of 867/199, 5526/592

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 867/199, 5526/592

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 867/199,5526/592

Given fractions are 867/199,5526/592

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 867,5526

Greatest Common Factor of Numerators i.e. GCF of 867,5526 is 3 .

LCM of Denominators means LCM of 199,592 as per the given fractions.

LCM of 199,592 is 117808 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 867,5526

GCF of Fractions 867/199,5526/592 is 3/117808

3 867, 5526
289, 1842

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

Greatest Common Factor of 867,5526 By Matching Biggest Common Factor Method

Greatest Common Factor of 867,5526 By Matching Biggest Common Factor Method

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Factors of 5526

List of positive integer factors of 5526 that divides 5526 without a remainder.

1,2,3,6,9,18,307,614,921,1842,2763,5526

Greatest Common Factor

We found the factors 867,5526 . The biggest common factor number is the GCF number.
So the greatest common factor 867,5526 is 3.

Lets's calculate LCM of 199,592

Given numbers has no common factors except 1. So, there LCM is their product i.e 117808

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/117808

Therefore, the GCF of Fractions 867/199,5526/592 is 3/117808

Least Common Multiple of 199,592 with GCF Formula

Least Common Multiple of 199,592 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 199,592 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(199,592) = 1

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

GCF(199,592) x common factors =1 x 1 = 1

LCM(199,592) = ( 199 × 592 ) / 1

LCM(199,592) = 117808 / 1

LCM(199,592) = 117808


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 867/199, 5526/592

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 867/199, 5526/592?

Answer: GCF of Numerators as per given numbers 867/199, 5526/592 is

GCF of Numerators i.e. for 867,5526 is 3

LCM of denominators i.e. for 199,592 is 117808.

Thus, GCF of Fractions is 3/117808.Finally, GCF of Fractions for 867/199, 5526/592 is 3/117808.