Greatest Common Factor of 47/23, 997/46, 824/211

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 47/23, 997/46, 824/211

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 47/23,997/46,824/211

Given fractions are 47/23,997/46,824/211

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 47,997,824

Greatest Common Factor of Numerators i.e. GCF of 47,997,824 is 1 .

LCM of Denominators means LCM of 23,46,211 as per the given fractions.

LCM of 23,46,211 is 9706 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 47,997,824

GCF of Fractions 47/23,997/46,824/211 is 1/9706

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

Greatest Common Factor of 47,997,824 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,997,824 By Matching Biggest Common Factor Method

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 997

List of positive integer factors of 997 that divides 997 without a remainder.

1,997

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

Greatest Common Factor

We found the factors 47,997,824 . The biggest common factor number is the GCF number.
So the greatest common factor 47,997,824 is 1.

Lets's calculate LCM of 23,46,211

23 23, 46, 211
1, 2, 211

∴ So the LCM of the given numbers is 23 x 1 x 2 x 211 = 9706

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9706

Therefore, the GCF of Fractions 47/23,997/46,824/211 is 1/9706

Least Common Multiple of 23,46,211 with GCF Formula

Least Common Multiple of 23,46,211 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 23,46,211 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,46,211) = 1

common factors(in case of two or more numbers have common factors) = 23

GCF(23,46,211) x common factors =1 x 23 = 23

LCM(23,46,211) = ( 23 × 46 × 211 ) / 23

LCM(23,46,211) = 223238 / 23

LCM(23,46,211) = 9706


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 47/23, 997/46, 824/211

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 47/23, 997/46, 824/211?

Answer: GCF of Numerators as per given numbers 47/23, 997/46, 824/211 is

GCF of Numerators i.e. for 47,997,824 is 1

LCM of denominators i.e. for 23,46,211 is 9706.

Thus, GCF of Fractions is 1/9706.Finally, GCF of Fractions for 47/23, 997/46, 824/211 is 1/9706.