Greatest Common Factor of 894/434, 4946/791

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 894/434, 4946/791

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 894/434,4946/791

Given fractions are 894/434,4946/791

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 894,4946

Greatest Common Factor of Numerators i.e. GCF of 894,4946 is 2 .

LCM of Denominators means LCM of 434,791 as per the given fractions.

LCM of 434,791 is 49042 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 894,4946

GCF of Fractions 894/434,4946/791 is 2/49042

2 894, 4946
447, 2473

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 894,4946 By Matching Biggest Common Factor Method

Greatest Common Factor of 894,4946 By Matching Biggest Common Factor Method

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Factors of 4946

List of positive integer factors of 4946 that divides 4946 without a remainder.

1,2,2473,4946

Greatest Common Factor

We found the factors 894,4946 . The biggest common factor number is the GCF number.
So the greatest common factor 894,4946 is 2.

Lets's calculate LCM of 434,791

7 434, 791
62, 113

∴ So the LCM of the given numbers is 7 x 62 x 113 = 49042

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/49042

Therefore, the GCF of Fractions 894/434,4946/791 is 2/49042

Least Common Multiple of 434,791 with GCF Formula

Least Common Multiple of 434,791 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 434,791 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(434,791) = 7

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

GCF(434,791) x common factors =7 x 1 = 7

LCM(434,791) = ( 434 × 791 ) / 7

LCM(434,791) = 343294 / 7

LCM(434,791) = 49042


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 894/434, 4946/791

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 894/434, 4946/791?

Answer: GCF of Numerators as per given numbers 894/434, 4946/791 is

GCF of Numerators i.e. for 894,4946 is 2

LCM of denominators i.e. for 434,791 is 49042.

Thus, GCF of Fractions is 2/49042.Finally, GCF of Fractions for 894/434, 4946/791 is 2/49042.