Greatest Common Factor of 50/41, 42/748, 194/915

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 50/41, 42/748, 194/915

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 50/41,42/748,194/915

Given fractions are 50/41,42/748,194/915

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 50,42,194

Greatest Common Factor of Numerators i.e. GCF of 50,42,194 is 2 .

LCM of Denominators means LCM of 41,748,915 as per the given fractions.

LCM of 41,748,915 is 28061220 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 50,42,194

GCF of Fractions 50/41,42/748,194/915 is 2/28061220

2 50, 42, 194
25, 21, 97

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 50,42,194 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,42,194 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

Greatest Common Factor

We found the factors 50,42,194 . The biggest common factor number is the GCF number.
So the greatest common factor 50,42,194 is 2.

Lets's calculate LCM of 41,748,915

Given numbers has no common factors except 1. So, there LCM is their product i.e 28061220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/28061220

Therefore, the GCF of Fractions 50/41,42/748,194/915 is 2/28061220

Least Common Multiple of 41,748,915 with GCF Formula

Least Common Multiple of 41,748,915 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 41,748,915 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,748,915) = 1

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

GCF(41,748,915) x common factors =1 x 1 = 1

LCM(41,748,915) = ( 41 × 748 × 915 ) / 1

LCM(41,748,915) = 28061220 / 1

LCM(41,748,915) = 28061220


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 50/41, 42/748, 194/915

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 50/41, 42/748, 194/915?

Answer: GCF of Numerators as per given numbers 50/41, 42/748, 194/915 is

GCF of Numerators i.e. for 50,42,194 is 2

LCM of denominators i.e. for 41,748,915 is 28061220.

Thus, GCF of Fractions is 2/28061220.Finally, GCF of Fractions for 50/41, 42/748, 194/915 is 2/28061220.