Greatest Common Factor of 846/352, 241/430, 523/941

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 846/352, 241/430, 523/941

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 846/352,241/430,523/941

Given fractions are 846/352,241/430,523/941

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 846,241,523

Greatest Common Factor of Numerators i.e. GCF of 846,241,523 is 1 .

LCM of Denominators means LCM of 352,430,941 as per the given fractions.

LCM of 352,430,941 is 71214880 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 846,241,523

GCF of Fractions 846/352,241/430,523/941 is 1/71214880

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

Greatest Common Factor of 846,241,523 By Matching Biggest Common Factor Method

Greatest Common Factor of 846,241,523 By Matching Biggest Common Factor Method

Factors of 846

List of positive integer factors of 846 that divides 846 without a remainder.

1,2,3,6,9,18,47,94,141,282,423,846

Factors of 241

List of positive integer factors of 241 that divides 241 without a remainder.

1,241

Factors of 523

List of positive integer factors of 523 that divides 523 without a remainder.

1,523

Greatest Common Factor

We found the factors 846,241,523 . The biggest common factor number is the GCF number.
So the greatest common factor 846,241,523 is 1.

Lets's calculate LCM of 352,430,941

2 352, 430, 941
176, 215, 941

∴ So the LCM of the given numbers is 2 x 176 x 215 x 941 = 71214880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/71214880

Therefore, the GCF of Fractions 846/352,241/430,523/941 is 1/71214880

Least Common Multiple of 352,430,941 with GCF Formula

Least Common Multiple of 352,430,941 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 352,430,941 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(352,430,941) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(352,430,941) x common factors =1 x 2 = 2

LCM(352,430,941) = ( 352 × 430 × 941 ) / 2

LCM(352,430,941) = 142429760 / 2

LCM(352,430,941) = 71214880


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 846/352, 241/430, 523/941

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 846/352, 241/430, 523/941?

Answer: GCF of Numerators as per given numbers 846/352, 241/430, 523/941 is

GCF of Numerators i.e. for 846,241,523 is 1

LCM of denominators i.e. for 352,430,941 is 71214880.

Thus, GCF of Fractions is 1/71214880.Finally, GCF of Fractions for 846/352, 241/430, 523/941 is 1/71214880.