Greatest Common Factor of 28/76, 34/76, 68/70, 19/192

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 28/76, 34/76, 68/70, 19/192

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 28/76,34/76,68/70,19/192

Given fractions are 28/76,34/76,68/70,19/192

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 28,34,68,19

Greatest Common Factor of Numerators i.e. GCF of 28,34,68,19 is 1 .

LCM of Denominators means LCM of 76,76,70,192 as per the given fractions.

LCM of 76,76,70,192 is 127680 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 28,34,68,19

GCF of Fractions 28/76,34/76,68/70,19/192 is 1/127680

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

Greatest Common Factor of 28,34,68,19 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,34,68,19 By Matching Biggest Common Factor Method

Factors of 28

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

1,2,4,7,14,28

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Greatest Common Factor

We found the factors 28,34,68,19 . The biggest common factor number is the GCF number.
So the greatest common factor 28,34,68,19 is 1.

Lets's calculate LCM of 76,76,70,192

2 76, 76, 70, 192
2 38, 38, 35, 96
19 19, 19, 35, 48
1, 1, 35, 48

∴ So the LCM of the given numbers is 2 x 2 x 19 x 1 x 1 x 35 x 48 = 127680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/127680

Therefore, the GCF of Fractions 28/76,34/76,68/70,19/192 is 1/127680

Least Common Multiple of 76,76,70,192 with GCF Formula

Least Common Multiple of 76,76,70,192 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 76,76,70,192 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,76,70,192) = 2

common factors(in case of two or more numbers have common factors) = 304

GCF(76,76,70,192) x common factors =2 x 304 = 608

LCM(76,76,70,192) = ( 76 × 76 × 70 × 192 ) / 608

LCM(76,76,70,192) = 77629440 / 608

LCM(76,76,70,192) = 127680


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 28/76, 34/76, 68/70, 19/192

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 28/76, 34/76, 68/70, 19/192?

Answer: GCF of Numerators as per given numbers 28/76, 34/76, 68/70, 19/192 is

GCF of Numerators i.e. for 28,34,68,19 is 1

LCM of denominators i.e. for 76,76,70,192 is 127680.

Thus, GCF of Fractions is 1/127680.Finally, GCF of Fractions for 28/76, 34/76, 68/70, 19/192 is 1/127680.