Greatest Common Factor of 230/35, 445/41, 522/847

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 230/35, 445/41, 522/847

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 230/35,445/41,522/847

Given fractions are 230/35,445/41,522/847

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 230,445,522

Greatest Common Factor of Numerators i.e. GCF of 230,445,522 is 1 .

LCM of Denominators means LCM of 35,41,847 as per the given fractions.

LCM of 35,41,847 is 173635 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 230,445,522

GCF of Fractions 230/35,445/41,522/847 is 1/173635

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

Greatest Common Factor of 230,445,522 By Matching Biggest Common Factor Method

Greatest Common Factor of 230,445,522 By Matching Biggest Common Factor Method

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Factors of 445

List of positive integer factors of 445 that divides 445 without a remainder.

1,5,89,445

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Greatest Common Factor

We found the factors 230,445,522 . The biggest common factor number is the GCF number.
So the greatest common factor 230,445,522 is 1.

Lets's calculate LCM of 35,41,847

7 35, 41, 847
5, 41, 121

∴ So the LCM of the given numbers is 7 x 5 x 41 x 121 = 173635

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/173635

Therefore, the GCF of Fractions 230/35,445/41,522/847 is 1/173635

Least Common Multiple of 35,41,847 with GCF Formula

Least Common Multiple of 35,41,847 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 35,41,847 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,41,847) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(35,41,847) x common factors =1 x 7 = 7

LCM(35,41,847) = ( 35 × 41 × 847 ) / 7

LCM(35,41,847) = 1215445 / 7

LCM(35,41,847) = 173635


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 230/35, 445/41, 522/847

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 230/35, 445/41, 522/847?

Answer: GCF of Numerators as per given numbers 230/35, 445/41, 522/847 is

GCF of Numerators i.e. for 230,445,522 is 1

LCM of denominators i.e. for 35,41,847 is 173635.

Thus, GCF of Fractions is 1/173635.Finally, GCF of Fractions for 230/35, 445/41, 522/847 is 1/173635.