Greatest Common Factor of 76/306, 16/405, 398/598

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 76/306, 16/405, 398/598

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 76/306,16/405,398/598

Given fractions are 76/306,16/405,398/598

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 76,16,398

Greatest Common Factor of Numerators i.e. GCF of 76,16,398 is 2 .

LCM of Denominators means LCM of 306,405,598 as per the given fractions.

LCM of 306,405,598 is 4117230 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 76,16,398

GCF of Fractions 76/306,16/405,398/598 is 2/4117230

2 76, 16, 398
38, 8, 199

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 76,16,398 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,16,398 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

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 76,16,398 . The biggest common factor number is the GCF number.
So the greatest common factor 76,16,398 is 2.

Lets's calculate LCM of 306,405,598

2 306, 405, 598
3 153, 405, 299
3 51, 135, 299
17, 45, 299

∴ So the LCM of the given numbers is 2 x 3 x 3 x 17 x 45 x 299 = 4117230

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4117230

Therefore, the GCF of Fractions 76/306,16/405,398/598 is 2/4117230

Least Common Multiple of 306,405,598 with GCF Formula

Least Common Multiple of 306,405,598 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 306,405,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(306,405,598) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(306,405,598) x common factors =1 x 18 = 18

LCM(306,405,598) = ( 306 × 405 × 598 ) / 18

LCM(306,405,598) = 74110140 / 18

LCM(306,405,598) = 4117230


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 76/306, 16/405, 398/598

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 76/306, 16/405, 398/598?

Answer: GCF of Numerators as per given numbers 76/306, 16/405, 398/598 is

GCF of Numerators i.e. for 76,16,398 is 2

LCM of denominators i.e. for 306,405,598 is 4117230.

Thus, GCF of Fractions is 2/4117230.Finally, GCF of Fractions for 76/306, 16/405, 398/598 is 2/4117230.