Greatest Common Factor of 3/96, 32/59, 28/346, 297/974

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3/96, 32/59, 28/346, 297/974

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 3/96,32/59,28/346,297/974

Given fractions are 3/96,32/59,28/346,297/974

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 3,32,28,297

Greatest Common Factor of Numerators i.e. GCF of 3,32,28,297 is 1 .

LCM of Denominators means LCM of 96,59,346,974 as per the given fractions.

LCM of 96,59,346,974 is 477197664 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3,32,28,297

GCF of Fractions 3/96,32/59,28/346,297/974 is 1/477197664

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

Greatest Common Factor of 3,32,28,297 By Matching Biggest Common Factor Method

Greatest Common Factor of 3,32,28,297 By Matching Biggest Common Factor Method

Factors of 3

List of positive integer factors of 3 that divides 3 without a remainder.

1,3

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 297

List of positive integer factors of 297 that divides 297 without a remainder.

1,3,9,11,27,33,99,297

Greatest Common Factor

We found the factors 3,32,28,297 . The biggest common factor number is the GCF number.
So the greatest common factor 3,32,28,297 is 1.

Lets's calculate LCM of 96,59,346,974

2 96, 59, 346, 974
48, 59, 173, 487

∴ So the LCM of the given numbers is 2 x 48 x 59 x 173 x 487 = 477197664

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/477197664

Therefore, the GCF of Fractions 3/96,32/59,28/346,297/974 is 1/477197664

Least Common Multiple of 96,59,346,974 with GCF Formula

Least Common Multiple of 96,59,346,974 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 96,59,346,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,59,346,974) = 1

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

GCF(96,59,346,974) x common factors =1 x 4 = 4

LCM(96,59,346,974) = ( 96 × 59 × 346 × 974 ) / 4

LCM(96,59,346,974) = 1908790656 / 4

LCM(96,59,346,974) = 477197664


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 3/96, 32/59, 28/346, 297/974

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 3/96, 32/59, 28/346, 297/974?

Answer: GCF of Numerators as per given numbers 3/96, 32/59, 28/346, 297/974 is

GCF of Numerators i.e. for 3,32,28,297 is 1

LCM of denominators i.e. for 96,59,346,974 is 477197664.

Thus, GCF of Fractions is 1/477197664.Finally, GCF of Fractions for 3/96, 32/59, 28/346, 297/974 is 1/477197664.