Greatest Common Factor of 152/86, 263/68, 398/184

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 152/86, 263/68, 398/184

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 152/86,263/68,398/184

Given fractions are 152/86,263/68,398/184

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 152,263,398

Greatest Common Factor of Numerators i.e. GCF of 152,263,398 is 1 .

LCM of Denominators means LCM of 86,68,184 as per the given fractions.

LCM of 86,68,184 is 134504 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 152,263,398

GCF of Fractions 152/86,263/68,398/184 is 1/134504

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

Greatest Common Factor of 152,263,398 By Matching Biggest Common Factor Method

Greatest Common Factor of 152,263,398 By Matching Biggest Common Factor Method

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Factors of 263

List of positive integer factors of 263 that divides 263 without a remainder.

1,263

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Greatest Common Factor

We found the factors 152,263,398 . The biggest common factor number is the GCF number.
So the greatest common factor 152,263,398 is 1.

Lets's calculate LCM of 86,68,184

2 86, 68, 184
2 43, 34, 92
43, 17, 46

∴ So the LCM of the given numbers is 2 x 2 x 43 x 17 x 46 = 134504

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/134504

Therefore, the GCF of Fractions 152/86,263/68,398/184 is 1/134504

Least Common Multiple of 86,68,184 with GCF Formula

Least Common Multiple of 86,68,184 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 86,68,184 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,68,184) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(86,68,184) x common factors =2 x 4 = 8

LCM(86,68,184) = ( 86 × 68 × 184 ) / 8

LCM(86,68,184) = 1076032 / 8

LCM(86,68,184) = 134504


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 152/86, 263/68, 398/184

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 152/86, 263/68, 398/184?

Answer: GCF of Numerators as per given numbers 152/86, 263/68, 398/184 is

GCF of Numerators i.e. for 152,263,398 is 1

LCM of denominators i.e. for 86,68,184 is 134504.

Thus, GCF of Fractions is 1/134504.Finally, GCF of Fractions for 152/86, 263/68, 398/184 is 1/134504.