Greatest Common Factor of 96/75, 70/465, 283/384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 96/75, 70/465, 283/384

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 96/75,70/465,283/384

Given fractions are 96/75,70/465,283/384

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 96,70,283

Greatest Common Factor of Numerators i.e. GCF of 96,70,283 is 1 .

LCM of Denominators means LCM of 75,465,384 as per the given fractions.

LCM of 75,465,384 is 297600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 96,70,283

GCF of Fractions 96/75,70/465,283/384 is 1/297600

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

Greatest Common Factor of 96,70,283 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,70,283 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 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 283

List of positive integer factors of 283 that divides 283 without a remainder.

1,283

Greatest Common Factor

We found the factors 96,70,283 . The biggest common factor number is the GCF number.
So the greatest common factor 96,70,283 is 1.

Lets's calculate LCM of 75,465,384

3 75, 465, 384
5 25, 155, 128
5, 31, 128

∴ So the LCM of the given numbers is 3 x 5 x 5 x 31 x 128 = 297600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/297600

Therefore, the GCF of Fractions 96/75,70/465,283/384 is 1/297600

Least Common Multiple of 75,465,384 with GCF Formula

Least Common Multiple of 75,465,384 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 75,465,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,465,384) = 3

common factors(in case of two or more numbers have common factors) = 15

GCF(75,465,384) x common factors =3 x 15 = 45

LCM(75,465,384) = ( 75 × 465 × 384 ) / 45

LCM(75,465,384) = 13392000 / 45

LCM(75,465,384) = 297600


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 96/75, 70/465, 283/384

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 96/75, 70/465, 283/384?

Answer: GCF of Numerators as per given numbers 96/75, 70/465, 283/384 is

GCF of Numerators i.e. for 96,70,283 is 1

LCM of denominators i.e. for 75,465,384 is 297600.

Thus, GCF of Fractions is 1/297600.Finally, GCF of Fractions for 96/75, 70/465, 283/384 is 1/297600.