Greatest Common Factor of 4/47, 40/66, 23/831, 467/248

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4/47, 40/66, 23/831, 467/248

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 4/47,40/66,23/831,467/248

Given fractions are 4/47,40/66,23/831,467/248

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 4,40,23,467

Greatest Common Factor of Numerators i.e. GCF of 4,40,23,467 is 1 .

LCM of Denominators means LCM of 47,66,831,248 as per the given fractions.

LCM of 47,66,831,248 is 106547496 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4,40,23,467

GCF of Fractions 4/47,40/66,23/831,467/248 is 1/106547496

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

Greatest Common Factor of 4,40,23,467 By Matching Biggest Common Factor Method

Greatest Common Factor of 4,40,23,467 By Matching Biggest Common Factor Method

Factors of 4

List of positive integer factors of 4 that divides 4 without a remainder.

1,2,4

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 467

List of positive integer factors of 467 that divides 467 without a remainder.

1,467

Greatest Common Factor

We found the factors 4,40,23,467 . The biggest common factor number is the GCF number.
So the greatest common factor 4,40,23,467 is 1.

Lets's calculate LCM of 47,66,831,248

2 47, 66, 831, 248
3 47, 33, 831, 124
47, 11, 277, 124

∴ So the LCM of the given numbers is 2 x 3 x 47 x 11 x 277 x 124 = 106547496

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/106547496

Therefore, the GCF of Fractions 4/47,40/66,23/831,467/248 is 1/106547496

Least Common Multiple of 47,66,831,248 with GCF Formula

Least Common Multiple of 47,66,831,248 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 47,66,831,248 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,66,831,248) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(47,66,831,248) x common factors =1 x 6 = 6

LCM(47,66,831,248) = ( 47 × 66 × 831 × 248 ) / 6

LCM(47,66,831,248) = 639284976 / 6

LCM(47,66,831,248) = 106547496


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 4/47, 40/66, 23/831, 467/248

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 4/47, 40/66, 23/831, 467/248?

Answer: GCF of Numerators as per given numbers 4/47, 40/66, 23/831, 467/248 is

GCF of Numerators i.e. for 4,40,23,467 is 1

LCM of denominators i.e. for 47,66,831,248 is 106547496.

Thus, GCF of Fractions is 1/106547496.Finally, GCF of Fractions for 4/47, 40/66, 23/831, 467/248 is 1/106547496.