Greatest Common Factor of 847/10, 858/50, 466/48

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 847/10, 858/50, 466/48

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 847/10,858/50,466/48

Given fractions are 847/10,858/50,466/48

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 847,858,466

Greatest Common Factor of Numerators i.e. GCF of 847,858,466 is 1 .

LCM of Denominators means LCM of 10,50,48 as per the given fractions.

LCM of 10,50,48 is 1200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 847,858,466

GCF of Fractions 847/10,858/50,466/48 is 1/1200

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

Greatest Common Factor of 847,858,466 By Matching Biggest Common Factor Method

Greatest Common Factor of 847,858,466 By Matching Biggest Common Factor Method

Factors of 847

List of positive integer factors of 847 that divides 847 without a remainder.

1,7,11,77,121,847

Factors of 858

List of positive integer factors of 858 that divides 858 without a remainder.

1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Greatest Common Factor

We found the factors 847,858,466 . The biggest common factor number is the GCF number.
So the greatest common factor 847,858,466 is 1.

Lets's calculate LCM of 10,50,48

2 10, 50, 48
5 5, 25, 24
1, 5, 24

∴ So the LCM of the given numbers is 2 x 5 x 1 x 5 x 24 = 1200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1200

Therefore, the GCF of Fractions 847/10,858/50,466/48 is 1/1200

Least Common Multiple of 10,50,48 with GCF Formula

Least Common Multiple of 10,50,48 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 10,50,48 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,50,48) = 2

common factors(in case of two or more numbers have common factors) = 10

GCF(10,50,48) x common factors =2 x 10 = 20

LCM(10,50,48) = ( 10 × 50 × 48 ) / 20

LCM(10,50,48) = 24000 / 20

LCM(10,50,48) = 1200


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 847/10, 858/50, 466/48

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 847/10, 858/50, 466/48?

Answer: GCF of Numerators as per given numbers 847/10, 858/50, 466/48 is

GCF of Numerators i.e. for 847,858,466 is 1

LCM of denominators i.e. for 10,50,48 is 1200.

Thus, GCF of Fractions is 1/1200.Finally, GCF of Fractions for 847/10, 858/50, 466/48 is 1/1200.