Greatest Common Factor of 282/74, 123/16, 478/17

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 282/74, 123/16, 478/17

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 282/74,123/16,478/17

Given fractions are 282/74,123/16,478/17

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 282,123,478

Greatest Common Factor of Numerators i.e. GCF of 282,123,478 is 1 .

LCM of Denominators means LCM of 74,16,17 as per the given fractions.

LCM of 74,16,17 is 10064 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 282,123,478

GCF of Fractions 282/74,123/16,478/17 is 1/10064

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

Greatest Common Factor of 282,123,478 By Matching Biggest Common Factor Method

Greatest Common Factor of 282,123,478 By Matching Biggest Common Factor Method

Factors of 282

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

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

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Factors of 478

List of positive integer factors of 478 that divides 478 without a remainder.

1,2,239,478

Greatest Common Factor

We found the factors 282,123,478 . The biggest common factor number is the GCF number.
So the greatest common factor 282,123,478 is 1.

Lets's calculate LCM of 74,16,17

2 74, 16, 17
37, 8, 17

∴ So the LCM of the given numbers is 2 x 37 x 8 x 17 = 10064

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10064

Therefore, the GCF of Fractions 282/74,123/16,478/17 is 1/10064

Least Common Multiple of 74,16,17 with GCF Formula

Least Common Multiple of 74,16,17 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 74,16,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,16,17) = 1

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

GCF(74,16,17) x common factors =1 x 2 = 2

LCM(74,16,17) = ( 74 × 16 × 17 ) / 2

LCM(74,16,17) = 20128 / 2

LCM(74,16,17) = 10064


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 282/74, 123/16, 478/17

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 282/74, 123/16, 478/17?

Answer: GCF of Numerators as per given numbers 282/74, 123/16, 478/17 is

GCF of Numerators i.e. for 282,123,478 is 1

LCM of denominators i.e. for 74,16,17 is 10064.

Thus, GCF of Fractions is 1/10064.Finally, GCF of Fractions for 282/74, 123/16, 478/17 is 1/10064.