Greatest Common Factor of 4/49, 94/23, 40/959, 843/713

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4/49, 94/23, 40/959, 843/713

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 4/49,94/23,40/959,843/713

Given fractions are 4/49,94/23,40/959,843/713

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 4,94,40,843

Greatest Common Factor of Numerators i.e. GCF of 4,94,40,843 is 1 .

LCM of Denominators means LCM of 49,23,959,713 as per the given fractions.

LCM of 49,23,959,713 is 4786369 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4,94,40,843

GCF of Fractions 4/49,94/23,40/959,843/713 is 1/4786369

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

Greatest Common Factor of 4,94,40,843 By Matching Biggest Common Factor Method

Greatest Common Factor of 4,94,40,843 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 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

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 843

List of positive integer factors of 843 that divides 843 without a remainder.

1,3,281,843

Greatest Common Factor

We found the factors 4,94,40,843 . The biggest common factor number is the GCF number.
So the greatest common factor 4,94,40,843 is 1.

Lets's calculate LCM of 49,23,959,713

7 49, 23, 959, 713
23 7, 23, 137, 713
7, 1, 137, 31

∴ So the LCM of the given numbers is 7 x 23 x 7 x 1 x 137 x 31 = 4786369

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4786369

Therefore, the GCF of Fractions 4/49,94/23,40/959,843/713 is 1/4786369

Least Common Multiple of 49,23,959,713 with GCF Formula

Least Common Multiple of 49,23,959,713 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 49,23,959,713 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,23,959,713) = 1

common factors(in case of two or more numbers have common factors) = 161

GCF(49,23,959,713) x common factors =1 x 161 = 161

LCM(49,23,959,713) = ( 49 × 23 × 959 × 713 ) / 161

LCM(49,23,959,713) = 770605409 / 161

LCM(49,23,959,713) = 4786369


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 4/49, 94/23, 40/959, 843/713

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 4/49, 94/23, 40/959, 843/713?

Answer: GCF of Numerators as per given numbers 4/49, 94/23, 40/959, 843/713 is

GCF of Numerators i.e. for 4,94,40,843 is 1

LCM of denominators i.e. for 49,23,959,713 is 4786369.

Thus, GCF of Fractions is 1/4786369.Finally, GCF of Fractions for 4/49, 94/23, 40/959, 843/713 is 1/4786369.