Greatest Common Factor of 233/85, 918/73, 815/56

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 233/85, 918/73, 815/56

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 233/85,918/73,815/56

Given fractions are 233/85,918/73,815/56

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 233,918,815

Greatest Common Factor of Numerators i.e. GCF of 233,918,815 is 1 .

LCM of Denominators means LCM of 85,73,56 as per the given fractions.

LCM of 85,73,56 is 347480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 233,918,815

GCF of Fractions 233/85,918/73,815/56 is 1/347480

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

Greatest Common Factor of 233,918,815 By Matching Biggest Common Factor Method

Greatest Common Factor of 233,918,815 By Matching Biggest Common Factor Method

Factors of 233

List of positive integer factors of 233 that divides 233 without a remainder.

1,233

Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Factors of 815

List of positive integer factors of 815 that divides 815 without a remainder.

1,5,163,815

Greatest Common Factor

We found the factors 233,918,815 . The biggest common factor number is the GCF number.
So the greatest common factor 233,918,815 is 1.

Lets's calculate LCM of 85,73,56

Given numbers has no common factors except 1. So, there LCM is their product i.e 347480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/347480

Therefore, the GCF of Fractions 233/85,918/73,815/56 is 1/347480

Least Common Multiple of 85,73,56 with GCF Formula

Least Common Multiple of 85,73,56 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 85,73,56 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,73,56) = 1

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

GCF(85,73,56) x common factors =1 x 1 = 1

LCM(85,73,56) = ( 85 × 73 × 56 ) / 1

LCM(85,73,56) = 347480 / 1

LCM(85,73,56) = 347480


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 233/85, 918/73, 815/56

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 233/85, 918/73, 815/56?

Answer: GCF of Numerators as per given numbers 233/85, 918/73, 815/56 is

GCF of Numerators i.e. for 233,918,815 is 1

LCM of denominators i.e. for 85,73,56 is 347480.

Thus, GCF of Fractions is 1/347480.Finally, GCF of Fractions for 233/85, 918/73, 815/56 is 1/347480.