Greatest Common Factor of 5924/28, 8238/195

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5924/28, 8238/195

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 5924/28,8238/195

Given fractions are 5924/28,8238/195

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 5924,8238

Greatest Common Factor of Numerators i.e. GCF of 5924,8238 is 2 .

LCM of Denominators means LCM of 28,195 as per the given fractions.

LCM of 28,195 is 5460 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5924,8238

GCF of Fractions 5924/28,8238/195 is 2/5460

2 5924, 8238
2962, 4119

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

Greatest Common Factor of 5924,8238 By Matching Biggest Common Factor Method

Greatest Common Factor of 5924,8238 By Matching Biggest Common Factor Method

Factors of 5924

List of positive integer factors of 5924 that divides 5924 without a remainder.

1,2,4,1481,2962,5924

Factors of 8238

List of positive integer factors of 8238 that divides 8238 without a remainder.

1,2,3,6,1373,2746,4119,8238

Greatest Common Factor

We found the factors 5924,8238 . The biggest common factor number is the GCF number.
So the greatest common factor 5924,8238 is 2.

Lets's calculate LCM of 28,195

Given numbers has no common factors except 1. So, there LCM is their product i.e 5460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5460

Therefore, the GCF of Fractions 5924/28,8238/195 is 2/5460

Least Common Multiple of 28,195 with GCF Formula

Least Common Multiple of 28,195 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 28,195 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,195) = 1

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

GCF(28,195) x common factors =1 x 1 = 1

LCM(28,195) = ( 28 × 195 ) / 1

LCM(28,195) = 5460 / 1

LCM(28,195) = 5460


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 5924/28, 8238/195

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 5924/28, 8238/195?

Answer: GCF of Numerators as per given numbers 5924/28, 8238/195 is

GCF of Numerators i.e. for 5924,8238 is 2

LCM of denominators i.e. for 28,195 is 5460.

Thus, GCF of Fractions is 2/5460.Finally, GCF of Fractions for 5924/28, 8238/195 is 2/5460.