Greatest Common Factor of 4736/21, 9995/174

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4736/21, 9995/174

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 4736/21,9995/174

Given fractions are 4736/21,9995/174

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 4736,9995

Greatest Common Factor of Numerators i.e. GCF of 4736,9995 is 1 .

LCM of Denominators means LCM of 21,174 as per the given fractions.

LCM of 21,174 is 1218 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4736,9995

GCF of Fractions 4736/21,9995/174 is 1/1218

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

Greatest Common Factor of 4736,9995 By Matching Biggest Common Factor Method

Greatest Common Factor of 4736,9995 By Matching Biggest Common Factor Method

Factors of 4736

List of positive integer factors of 4736 that divides 4736 without a remainder.

1,2,4,8,16,32,37,64,74,128,148,296,592,1184,2368,4736

Factors of 9995

List of positive integer factors of 9995 that divides 9995 without a remainder.

1,5,1999,9995

Greatest Common Factor

We found the factors 4736,9995 . The biggest common factor number is the GCF number.
So the greatest common factor 4736,9995 is 1.

Lets's calculate LCM of 21,174

3 21, 174
7, 58

∴ So the LCM of the given numbers is 3 x 7 x 58 = 1218

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1218

Therefore, the GCF of Fractions 4736/21,9995/174 is 1/1218

Least Common Multiple of 21,174 with GCF Formula

Least Common Multiple of 21,174 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 21,174 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,174) = 3

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

GCF(21,174) x common factors =3 x 1 = 3

LCM(21,174) = ( 21 × 174 ) / 3

LCM(21,174) = 3654 / 3

LCM(21,174) = 1218


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 4736/21, 9995/174

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 4736/21, 9995/174?

Answer: GCF of Numerators as per given numbers 4736/21, 9995/174 is

GCF of Numerators i.e. for 4736,9995 is 1

LCM of denominators i.e. for 21,174 is 1218.

Thus, GCF of Fractions is 1/1218.Finally, GCF of Fractions for 4736/21, 9995/174 is 1/1218.