Greatest Common Factor of 173/86, 119/66, 414/144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 173/86, 119/66, 414/144

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 173/86,119/66,414/144

Given fractions are 173/86,119/66,414/144

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 173,119,414

Greatest Common Factor of Numerators i.e. GCF of 173,119,414 is 1 .

LCM of Denominators means LCM of 86,66,144 as per the given fractions.

LCM of 86,66,144 is 68112 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 173,119,414

GCF of Fractions 173/86,119/66,414/144 is 1/68112

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

Greatest Common Factor of 173,119,414 By Matching Biggest Common Factor Method

Greatest Common Factor of 173,119,414 By Matching Biggest Common Factor Method

Factors of 173

List of positive integer factors of 173 that divides 173 without a remainder.

1,173

Factors of 119

List of positive integer factors of 119 that divides 119 without a remainder.

1,7,17,119

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Greatest Common Factor

We found the factors 173,119,414 . The biggest common factor number is the GCF number.
So the greatest common factor 173,119,414 is 1.

Lets's calculate LCM of 86,66,144

2 86, 66, 144
3 43, 33, 72
43, 11, 24

∴ So the LCM of the given numbers is 2 x 3 x 43 x 11 x 24 = 68112

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/68112

Therefore, the GCF of Fractions 173/86,119/66,414/144 is 1/68112

Least Common Multiple of 86,66,144 with GCF Formula

Least Common Multiple of 86,66,144 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 86,66,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,66,144) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(86,66,144) x common factors =2 x 6 = 12

LCM(86,66,144) = ( 86 × 66 × 144 ) / 12

LCM(86,66,144) = 817344 / 12

LCM(86,66,144) = 68112


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 173/86, 119/66, 414/144

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 173/86, 119/66, 414/144?

Answer: GCF of Numerators as per given numbers 173/86, 119/66, 414/144 is

GCF of Numerators i.e. for 173,119,414 is 1

LCM of denominators i.e. for 86,66,144 is 68112.

Thus, GCF of Fractions is 1/68112.Finally, GCF of Fractions for 173/86, 119/66, 414/144 is 1/68112.