Greatest Common Factor of 5853/509, 4720/9197

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5853/509, 4720/9197

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 5853/509,4720/9197

Given fractions are 5853/509,4720/9197

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 5853,4720

Greatest Common Factor of Numerators i.e. GCF of 5853,4720 is 1 .

LCM of Denominators means LCM of 509,9197 as per the given fractions.

LCM of 509,9197 is 4681273 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5853,4720

GCF of Fractions 5853/509,4720/9197 is 1/4681273

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5853,4720 By Matching Biggest Common Factor Method

Greatest Common Factor of 5853,4720 By Matching Biggest Common Factor Method

Factors of 5853

List of positive integer factors of 5853 that divides 5853 without a remainder.

1,3,1951,5853

Factors of 4720

List of positive integer factors of 4720 that divides 4720 without a remainder.

1,2,4,5,8,10,16,20,40,59,80,118,236,295,472,590,944,1180,2360,4720

Greatest Common Factor

We found the factors 5853,4720 . The biggest common factor number is the GCF number.
So the greatest common factor 5853,4720 is 1.

Lets's calculate LCM of 509,9197

Given numbers has no common factors except 1. So, there LCM is their product i.e 4681273

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4681273

Therefore, the GCF of Fractions 5853/509,4720/9197 is 1/4681273

Least Common Multiple of 509,9197 with GCF Formula

Least Common Multiple of 509,9197 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 509,9197 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(509,9197) = 1

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

GCF(509,9197) x common factors =1 x 1 = 1

LCM(509,9197) = ( 509 × 9197 ) / 1

LCM(509,9197) = 4681273 / 1

LCM(509,9197) = 4681273


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 5853/509, 4720/9197

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 5853/509, 4720/9197?

Answer: GCF of Numerators as per given numbers 5853/509, 4720/9197 is

GCF of Numerators i.e. for 5853,4720 is 1

LCM of denominators i.e. for 509,9197 is 4681273.

Thus, GCF of Fractions is 1/4681273.Finally, GCF of Fractions for 5853/509, 4720/9197 is 1/4681273.