Greatest Common Factor of 96/43, 356/17, 470/53

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 96/43, 356/17, 470/53

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 96/43,356/17,470/53

Given fractions are 96/43,356/17,470/53

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 96,356,470

Greatest Common Factor of Numerators i.e. GCF of 96,356,470 is 2 .

LCM of Denominators means LCM of 43,17,53 as per the given fractions.

LCM of 43,17,53 is 38743 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 96,356,470

GCF of Fractions 96/43,356/17,470/53 is 2/38743

2 96, 356, 470
48, 178, 235

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

Greatest Common Factor of 96,356,470 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,356,470 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 356

List of positive integer factors of 356 that divides 356 without a remainder.

1,2,4,89,178,356

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Greatest Common Factor

We found the factors 96,356,470 . The biggest common factor number is the GCF number.
So the greatest common factor 96,356,470 is 2.

Lets's calculate LCM of 43,17,53

Given numbers has no common factors except 1. So, there LCM is their product i.e 38743

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/38743

Therefore, the GCF of Fractions 96/43,356/17,470/53 is 2/38743

Least Common Multiple of 43,17,53 with GCF Formula

Least Common Multiple of 43,17,53 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 43,17,53 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,17,53) = 1

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

GCF(43,17,53) x common factors =1 x 1 = 1

LCM(43,17,53) = ( 43 × 17 × 53 ) / 1

LCM(43,17,53) = 38743 / 1

LCM(43,17,53) = 38743


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 96/43, 356/17, 470/53

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 96/43, 356/17, 470/53?

Answer: GCF of Numerators as per given numbers 96/43, 356/17, 470/53 is

GCF of Numerators i.e. for 96,356,470 is 2

LCM of denominators i.e. for 43,17,53 is 38743.

Thus, GCF of Fractions is 2/38743.Finally, GCF of Fractions for 96/43, 356/17, 470/53 is 2/38743.