Greatest Common Factor of 38/99, 49/59, 230/813

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 38/99, 49/59, 230/813

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 38/99,49/59,230/813

Given fractions are 38/99,49/59,230/813

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 38,49,230

Greatest Common Factor of Numerators i.e. GCF of 38,49,230 is 1 .

LCM of Denominators means LCM of 99,59,813 as per the given fractions.

LCM of 99,59,813 is 1582911 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 38,49,230

GCF of Fractions 38/99,49/59,230/813 is 1/1582911

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

Greatest Common Factor of 38,49,230 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,49,230 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 230

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

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

Greatest Common Factor

We found the factors 38,49,230 . The biggest common factor number is the GCF number.
So the greatest common factor 38,49,230 is 1.

Lets's calculate LCM of 99,59,813

3 99, 59, 813
33, 59, 271

∴ So the LCM of the given numbers is 3 x 33 x 59 x 271 = 1582911

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1582911

Therefore, the GCF of Fractions 38/99,49/59,230/813 is 1/1582911

Least Common Multiple of 99,59,813 with GCF Formula

Least Common Multiple of 99,59,813 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 99,59,813 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,59,813) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(99,59,813) x common factors =1 x 3 = 3

LCM(99,59,813) = ( 99 × 59 × 813 ) / 3

LCM(99,59,813) = 4748733 / 3

LCM(99,59,813) = 1582911


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 38/99, 49/59, 230/813

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 38/99, 49/59, 230/813?

Answer: GCF of Numerators as per given numbers 38/99, 49/59, 230/813 is

GCF of Numerators i.e. for 38,49,230 is 1

LCM of denominators i.e. for 99,59,813 is 1582911.

Thus, GCF of Fractions is 1/1582911.Finally, GCF of Fractions for 38/99, 49/59, 230/813 is 1/1582911.