Greatest Common Factor of 798/168, 3952/5358

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 798/168, 3952/5358

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 798/168,3952/5358

Given fractions are 798/168,3952/5358

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 798,3952

Greatest Common Factor of Numerators i.e. GCF of 798,3952 is 38 .

LCM of Denominators means LCM of 168,5358 as per the given fractions.

LCM of 168,5358 is 150024 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 798,3952

GCF of Fractions 798/168,3952/5358 is 38/150024

2 798, 3952
19 399, 1976
21, 104

∴ So the GCF of the given numbers is 2 x 19 = 38

Greatest Common Factor of 798,3952 By Matching Biggest Common Factor Method

Greatest Common Factor of 798,3952 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 3952

List of positive integer factors of 3952 that divides 3952 without a remainder.

1,2,4,8,13,16,19,26,38,52,76,104,152,208,247,304,494,988,1976,3952

Greatest Common Factor

We found the factors 798,3952 . The biggest common factor number is the GCF number.
So the greatest common factor 798,3952 is 38.

Lets's calculate LCM of 168,5358

2 168, 5358
3 84, 2679
28, 893

∴ So the LCM of the given numbers is 2 x 3 x 28 x 893 = 150024

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 38/150024

Therefore, the GCF of Fractions 798/168,3952/5358 is 38/150024

Least Common Multiple of 168,5358 with GCF Formula

Least Common Multiple of 168,5358 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 168,5358 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(168,5358) = 6

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

GCF(168,5358) x common factors =6 x 1 = 6

LCM(168,5358) = ( 168 × 5358 ) / 6

LCM(168,5358) = 900144 / 6

LCM(168,5358) = 150024


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 798/168, 3952/5358

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 798/168, 3952/5358?

Answer: GCF of Numerators as per given numbers 798/168, 3952/5358 is

GCF of Numerators i.e. for 798,3952 is 38

LCM of denominators i.e. for 168,5358 is 150024.

Thus, GCF of Fractions is 38/150024.Finally, GCF of Fractions for 798/168, 3952/5358 is 38/150024.