Greatest Common Factor of 94/75, 75/30, 282/645

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 94/75, 75/30, 282/645

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 94/75,75/30,282/645

Given fractions are 94/75,75/30,282/645

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 94,75,282

Greatest Common Factor of Numerators i.e. GCF of 94,75,282 is 1 .

LCM of Denominators means LCM of 75,30,645 as per the given fractions.

LCM of 75,30,645 is 6450 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 94,75,282

GCF of Fractions 94/75,75/30,282/645 is 1/6450

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

Greatest Common Factor of 94,75,282 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,75,282 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 282

List of positive integer factors of 282 that divides 282 without a remainder.

1,2,3,6,47,94,141,282

Greatest Common Factor

We found the factors 94,75,282 . The biggest common factor number is the GCF number.
So the greatest common factor 94,75,282 is 1.

Lets's calculate LCM of 75,30,645

3 75, 30, 645
5 25, 10, 215
5, 2, 43

∴ So the LCM of the given numbers is 3 x 5 x 5 x 2 x 43 = 6450

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6450

Therefore, the GCF of Fractions 94/75,75/30,282/645 is 1/6450

Least Common Multiple of 75,30,645 with GCF Formula

Least Common Multiple of 75,30,645 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 75,30,645 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,30,645) = 15

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

GCF(75,30,645) x common factors =15 x 15 = 225

LCM(75,30,645) = ( 75 × 30 × 645 ) / 225

LCM(75,30,645) = 1451250 / 225

LCM(75,30,645) = 6450


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 94/75, 75/30, 282/645

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 94/75, 75/30, 282/645?

Answer: GCF of Numerators as per given numbers 94/75, 75/30, 282/645 is

GCF of Numerators i.e. for 94,75,282 is 1

LCM of denominators i.e. for 75,30,645 is 6450.

Thus, GCF of Fractions is 1/6450.Finally, GCF of Fractions for 94/75, 75/30, 282/645 is 1/6450.