Greatest Common Factor of 74/68, 76/99, 304/849

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 74/68, 76/99, 304/849

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 74/68,76/99,304/849

Given fractions are 74/68,76/99,304/849

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 74,76,304

Greatest Common Factor of Numerators i.e. GCF of 74,76,304 is 2 .

LCM of Denominators means LCM of 68,99,849 as per the given fractions.

LCM of 68,99,849 is 1905156 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 74,76,304

GCF of Fractions 74/68,76/99,304/849 is 2/1905156

2 74, 76, 304
37, 38, 152

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

Greatest Common Factor of 74,76,304 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,76,304 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 76

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

1,2,4,19,38,76

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Greatest Common Factor

We found the factors 74,76,304 . The biggest common factor number is the GCF number.
So the greatest common factor 74,76,304 is 2.

Lets's calculate LCM of 68,99,849

3 68, 99, 849
68, 33, 283

∴ So the LCM of the given numbers is 3 x 68 x 33 x 283 = 1905156

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1905156

Therefore, the GCF of Fractions 74/68,76/99,304/849 is 2/1905156

Least Common Multiple of 68,99,849 with GCF Formula

Least Common Multiple of 68,99,849 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 68,99,849 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,99,849) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(68,99,849) x common factors =1 x 3 = 3

LCM(68,99,849) = ( 68 × 99 × 849 ) / 3

LCM(68,99,849) = 5715468 / 3

LCM(68,99,849) = 1905156


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 74/68, 76/99, 304/849

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 74/68, 76/99, 304/849?

Answer: GCF of Numerators as per given numbers 74/68, 76/99, 304/849 is

GCF of Numerators i.e. for 74,76,304 is 2

LCM of denominators i.e. for 68,99,849 is 1905156.

Thus, GCF of Fractions is 2/1905156.Finally, GCF of Fractions for 74/68, 76/99, 304/849 is 2/1905156.