Greatest Common Factor of 86/333, 403/112

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 86/333, 403/112

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 86/333,403/112

Given fractions are 86/333,403/112

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 86,403

Greatest Common Factor of Numerators i.e. GCF of 86,403 is 1 .

LCM of Denominators means LCM of 333,112 as per the given fractions.

LCM of 333,112 is 37296 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 86,403

GCF of Fractions 86/333,403/112 is 1/37296

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

Greatest Common Factor of 86,403 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,403 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 403

List of positive integer factors of 403 that divides 403 without a remainder.

1,13,31,403

Greatest Common Factor

We found the factors 86,403 . The biggest common factor number is the GCF number.
So the greatest common factor 86,403 is 1.

Lets's calculate LCM of 333,112

Given numbers has no common factors except 1. So, there LCM is their product i.e 37296

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37296

Therefore, the GCF of Fractions 86/333,403/112 is 1/37296

Least Common Multiple of 333,112 with GCF Formula

Least Common Multiple of 333,112 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 333,112 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(333,112) = 1

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

GCF(333,112) x common factors =1 x 1 = 1

LCM(333,112) = ( 333 × 112 ) / 1

LCM(333,112) = 37296 / 1

LCM(333,112) = 37296


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 86/333, 403/112

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 86/333, 403/112?

Answer: GCF of Numerators as per given numbers 86/333, 403/112 is

GCF of Numerators i.e. for 86,403 is 1

LCM of denominators i.e. for 333,112 is 37296.

Thus, GCF of Fractions is 1/37296.Finally, GCF of Fractions for 86/333, 403/112 is 1/37296.