Greatest Common Factor of 470/606, 209/434, 254/378

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 470/606, 209/434, 254/378

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 470/606,209/434,254/378

Given fractions are 470/606,209/434,254/378

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 470,209,254

Greatest Common Factor of Numerators i.e. GCF of 470,209,254 is 1 .

LCM of Denominators means LCM of 606,434,378 as per the given fractions.

LCM of 606,434,378 is 1183518 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 470,209,254

GCF of Fractions 470/606,209/434,254/378 is 1/1183518

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

Greatest Common Factor of 470,209,254 By Matching Biggest Common Factor Method

Greatest Common Factor of 470,209,254 By Matching Biggest Common Factor Method

Factors of 470

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

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

Factors of 209

List of positive integer factors of 209 that divides 209 without a remainder.

1,11,19,209

Factors of 254

List of positive integer factors of 254 that divides 254 without a remainder.

1,2,127,254

Greatest Common Factor

We found the factors 470,209,254 . The biggest common factor number is the GCF number.
So the greatest common factor 470,209,254 is 1.

Lets's calculate LCM of 606,434,378

2 606, 434, 378
3 303, 217, 189
7 101, 217, 63
101, 31, 9

∴ So the LCM of the given numbers is 2 x 3 x 7 x 101 x 31 x 9 = 1183518

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1183518

Therefore, the GCF of Fractions 470/606,209/434,254/378 is 1/1183518

Least Common Multiple of 606,434,378 with GCF Formula

Least Common Multiple of 606,434,378 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 606,434,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(606,434,378) = 2

common factors(in case of two or more numbers have common factors) = 42

GCF(606,434,378) x common factors =2 x 42 = 84

LCM(606,434,378) = ( 606 × 434 × 378 ) / 84

LCM(606,434,378) = 99415512 / 84

LCM(606,434,378) = 1183518


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 470/606, 209/434, 254/378

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 470/606, 209/434, 254/378?

Answer: GCF of Numerators as per given numbers 470/606, 209/434, 254/378 is

GCF of Numerators i.e. for 470,209,254 is 1

LCM of denominators i.e. for 606,434,378 is 1183518.

Thus, GCF of Fractions is 1/1183518.Finally, GCF of Fractions for 470/606, 209/434, 254/378 is 1/1183518.