Greatest Common Factor of 8/30, 10/96, 36/449, 308/197

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8/30, 10/96, 36/449, 308/197

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 8/30,10/96,36/449,308/197

Given fractions are 8/30,10/96,36/449,308/197

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 8,10,36,308

Greatest Common Factor of Numerators i.e. GCF of 8,10,36,308 is 2 .

LCM of Denominators means LCM of 30,96,449,197 as per the given fractions.

LCM of 30,96,449,197 is 42457440 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8,10,36,308

GCF of Fractions 8/30,10/96,36/449,308/197 is 2/42457440

2 8, 10, 36, 308
4, 5, 18, 154

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

Greatest Common Factor of 8,10,36,308 By Matching Biggest Common Factor Method

Greatest Common Factor of 8,10,36,308 By Matching Biggest Common Factor Method

Factors of 8

List of positive integer factors of 8 that divides 8 without a remainder.

1,2,4,8

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Greatest Common Factor

We found the factors 8,10,36,308 . The biggest common factor number is the GCF number.
So the greatest common factor 8,10,36,308 is 2.

Lets's calculate LCM of 30,96,449,197

2 30, 96, 449, 197
3 15, 48, 449, 197
5, 16, 449, 197

∴ So the LCM of the given numbers is 2 x 3 x 5 x 16 x 449 x 197 = 42457440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/42457440

Therefore, the GCF of Fractions 8/30,10/96,36/449,308/197 is 2/42457440

Least Common Multiple of 30,96,449,197 with GCF Formula

Least Common Multiple of 30,96,449,197 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 30,96,449,197 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,96,449,197) = 1

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

GCF(30,96,449,197) x common factors =1 x 6 = 6

LCM(30,96,449,197) = ( 30 × 96 × 449 × 197 ) / 6

LCM(30,96,449,197) = 254744640 / 6

LCM(30,96,449,197) = 42457440


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 8/30, 10/96, 36/449, 308/197

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 8/30, 10/96, 36/449, 308/197?

Answer: GCF of Numerators as per given numbers 8/30, 10/96, 36/449, 308/197 is

GCF of Numerators i.e. for 8,10,36,308 is 2

LCM of denominators i.e. for 30,96,449,197 is 42457440.

Thus, GCF of Fractions is 2/42457440.Finally, GCF of Fractions for 8/30, 10/96, 36/449, 308/197 is 2/42457440.