Greatest Common Factor of 5865/398, 2320/5975

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5865/398, 2320/5975

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 5865/398,2320/5975

Given fractions are 5865/398,2320/5975

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 5865,2320

Greatest Common Factor of Numerators i.e. GCF of 5865,2320 is 5 .

LCM of Denominators means LCM of 398,5975 as per the given fractions.

LCM of 398,5975 is 2378050 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5865,2320

GCF of Fractions 5865/398,2320/5975 is 5/2378050

5 5865, 2320
1173, 464

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 5865,2320 By Matching Biggest Common Factor Method

Greatest Common Factor of 5865,2320 By Matching Biggest Common Factor Method

Factors of 5865

List of positive integer factors of 5865 that divides 5865 without a remainder.

1,3,5,15,17,23,51,69,85,115,255,345,391,1173,1955,5865

Factors of 2320

List of positive integer factors of 2320 that divides 2320 without a remainder.

1,2,4,5,8,10,16,20,29,40,58,80,116,145,232,290,464,580,1160,2320

Greatest Common Factor

We found the factors 5865,2320 . The biggest common factor number is the GCF number.
So the greatest common factor 5865,2320 is 5.

Lets's calculate LCM of 398,5975

Given numbers has no common factors except 1. So, there LCM is their product i.e 2378050

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2378050

Therefore, the GCF of Fractions 5865/398,2320/5975 is 5/2378050

Least Common Multiple of 398,5975 with GCF Formula

Least Common Multiple of 398,5975 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 398,5975 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(398,5975) = 1

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

GCF(398,5975) x common factors =1 x 1 = 1

LCM(398,5975) = ( 398 × 5975 ) / 1

LCM(398,5975) = 2378050 / 1

LCM(398,5975) = 2378050


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 5865/398, 2320/5975

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 5865/398, 2320/5975?

Answer: GCF of Numerators as per given numbers 5865/398, 2320/5975 is

GCF of Numerators i.e. for 5865,2320 is 5

LCM of denominators i.e. for 398,5975 is 2378050.

Thus, GCF of Fractions is 5/2378050.Finally, GCF of Fractions for 5865/398, 2320/5975 is 5/2378050.