Greatest Common Factor of 98/67, 96/54, 28/56, 58/299

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 98/67, 96/54, 28/56, 58/299

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 98/67,96/54,28/56,58/299

Given fractions are 98/67,96/54,28/56,58/299

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 98,96,28,58

Greatest Common Factor of Numerators i.e. GCF of 98,96,28,58 is 2 .

LCM of Denominators means LCM of 67,54,56,299 as per the given fractions.

LCM of 67,54,56,299 is 30289896 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 98,96,28,58

GCF of Fractions 98/67,96/54,28/56,58/299 is 2/30289896

2 98, 96, 28, 58
49, 48, 14, 29

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

Greatest Common Factor of 98,96,28,58 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,96,28,58 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 28

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

1,2,4,7,14,28

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Greatest Common Factor

We found the factors 98,96,28,58 . The biggest common factor number is the GCF number.
So the greatest common factor 98,96,28,58 is 2.

Lets's calculate LCM of 67,54,56,299

2 67, 54, 56, 299
67, 27, 28, 299

∴ So the LCM of the given numbers is 2 x 67 x 27 x 28 x 299 = 30289896

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/30289896

Therefore, the GCF of Fractions 98/67,96/54,28/56,58/299 is 2/30289896

Least Common Multiple of 67,54,56,299 with GCF Formula

Least Common Multiple of 67,54,56,299 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 67,54,56,299 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,54,56,299) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(67,54,56,299) x common factors =1 x 2 = 2

LCM(67,54,56,299) = ( 67 × 54 × 56 × 299 ) / 2

LCM(67,54,56,299) = 60579792 / 2

LCM(67,54,56,299) = 30289896


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 98/67, 96/54, 28/56, 58/299

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 98/67, 96/54, 28/56, 58/299?

Answer: GCF of Numerators as per given numbers 98/67, 96/54, 28/56, 58/299 is

GCF of Numerators i.e. for 98,96,28,58 is 2

LCM of denominators i.e. for 67,54,56,299 is 30289896.

Thus, GCF of Fractions is 2/30289896.Finally, GCF of Fractions for 98/67, 96/54, 28/56, 58/299 is 2/30289896.