Greatest Common Factor of 475/935, 9291/244

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 475/935, 9291/244

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 475/935,9291/244

Given fractions are 475/935,9291/244

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 475,9291

Greatest Common Factor of Numerators i.e. GCF of 475,9291 is 19 .

LCM of Denominators means LCM of 935,244 as per the given fractions.

LCM of 935,244 is 228140 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 475,9291

GCF of Fractions 475/935,9291/244 is 19/228140

19 475, 9291
25, 489

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 475,9291 By Matching Biggest Common Factor Method

Greatest Common Factor of 475,9291 By Matching Biggest Common Factor Method

Factors of 475

List of positive integer factors of 475 that divides 475 without a remainder.

1,5,19,25,95,475

Factors of 9291

List of positive integer factors of 9291 that divides 9291 without a remainder.

1,3,19,57,163,489,3097,9291

Greatest Common Factor

We found the factors 475,9291 . The biggest common factor number is the GCF number.
So the greatest common factor 475,9291 is 19.

Lets's calculate LCM of 935,244

Given numbers has no common factors except 1. So, there LCM is their product i.e 228140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/228140

Therefore, the GCF of Fractions 475/935,9291/244 is 19/228140

Least Common Multiple of 935,244 with GCF Formula

Least Common Multiple of 935,244 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 935,244 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(935,244) = 1

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

GCF(935,244) x common factors =1 x 1 = 1

LCM(935,244) = ( 935 × 244 ) / 1

LCM(935,244) = 228140 / 1

LCM(935,244) = 228140


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 475/935, 9291/244

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 475/935, 9291/244?

Answer: GCF of Numerators as per given numbers 475/935, 9291/244 is

GCF of Numerators i.e. for 475,9291 is 19

LCM of denominators i.e. for 935,244 is 228140.

Thus, GCF of Fractions is 19/228140.Finally, GCF of Fractions for 475/935, 9291/244 is 19/228140.