Greatest Common Factor of 798/28, 148/6768

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 798/28, 148/6768

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 798/28,148/6768

Given fractions are 798/28,148/6768

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 798,148

Greatest Common Factor of Numerators i.e. GCF of 798,148 is 2 .

LCM of Denominators means LCM of 28,6768 as per the given fractions.

LCM of 28,6768 is 47376 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 798,148

GCF of Fractions 798/28,148/6768 is 2/47376

2 798, 148
399, 74

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

Greatest Common Factor of 798,148 By Matching Biggest Common Factor Method

Greatest Common Factor of 798,148 By Matching Biggest Common Factor Method

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Factors of 148

List of positive integer factors of 148 that divides 148 without a remainder.

1,2,4,37,74,148

Greatest Common Factor

We found the factors 798,148 . The biggest common factor number is the GCF number.
So the greatest common factor 798,148 is 2.

Lets's calculate LCM of 28,6768

2 28, 6768
2 14, 3384
7, 1692

∴ So the LCM of the given numbers is 2 x 2 x 7 x 1692 = 47376

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/47376

Therefore, the GCF of Fractions 798/28,148/6768 is 2/47376

Least Common Multiple of 28,6768 with GCF Formula

Least Common Multiple of 28,6768 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 28,6768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,6768) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(28,6768) x common factors =4 x 1 = 4

LCM(28,6768) = ( 28 × 6768 ) / 4

LCM(28,6768) = 189504 / 4

LCM(28,6768) = 47376


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 798/28, 148/6768

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 798/28, 148/6768?

Answer: GCF of Numerators as per given numbers 798/28, 148/6768 is

GCF of Numerators i.e. for 798,148 is 2

LCM of denominators i.e. for 28,6768 is 47376.

Thus, GCF of Fractions is 2/47376.Finally, GCF of Fractions for 798/28, 148/6768 is 2/47376.