Greatest Common Factor of 71/495, 50/146, 381/407

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 71/495, 50/146, 381/407

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 71/495,50/146,381/407

Given fractions are 71/495,50/146,381/407

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 71,50,381

Greatest Common Factor of Numerators i.e. GCF of 71,50,381 is 1 .

LCM of Denominators means LCM of 495,146,407 as per the given fractions.

LCM of 495,146,407 is 2673990 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 71,50,381

GCF of Fractions 71/495,50/146,381/407 is 1/2673990

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

Greatest Common Factor of 71,50,381 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,50,381 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 50

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

1,2,5,10,25,50

Factors of 381

List of positive integer factors of 381 that divides 381 without a remainder.

1,3,127,381

Greatest Common Factor

We found the factors 71,50,381 . The biggest common factor number is the GCF number.
So the greatest common factor 71,50,381 is 1.

Lets's calculate LCM of 495,146,407

11 495, 146, 407
45, 146, 37

∴ So the LCM of the given numbers is 11 x 45 x 146 x 37 = 2673990

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2673990

Therefore, the GCF of Fractions 71/495,50/146,381/407 is 1/2673990

Least Common Multiple of 495,146,407 with GCF Formula

Least Common Multiple of 495,146,407 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 495,146,407 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(495,146,407) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(495,146,407) x common factors =1 x 11 = 11

LCM(495,146,407) = ( 495 × 146 × 407 ) / 11

LCM(495,146,407) = 29413890 / 11

LCM(495,146,407) = 2673990


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 71/495, 50/146, 381/407

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 71/495, 50/146, 381/407?

Answer: GCF of Numerators as per given numbers 71/495, 50/146, 381/407 is

GCF of Numerators i.e. for 71,50,381 is 1

LCM of denominators i.e. for 495,146,407 is 2673990.

Thus, GCF of Fractions is 1/2673990.Finally, GCF of Fractions for 71/495, 50/146, 381/407 is 1/2673990.