Greatest Common Factor of 5395/898, 5603/4843

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5395/898, 5603/4843

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 5395/898,5603/4843

Given fractions are 5395/898,5603/4843

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 5395,5603

Greatest Common Factor of Numerators i.e. GCF of 5395,5603 is 13 .

LCM of Denominators means LCM of 898,4843 as per the given fractions.

LCM of 898,4843 is 4349014 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5395,5603

GCF of Fractions 5395/898,5603/4843 is 13/4349014

13 5395, 5603
415, 431

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 5395,5603 By Matching Biggest Common Factor Method

Greatest Common Factor of 5395,5603 By Matching Biggest Common Factor Method

Factors of 5395

List of positive integer factors of 5395 that divides 5395 without a remainder.

1,5,13,65,83,415,1079,5395

Factors of 5603

List of positive integer factors of 5603 that divides 5603 without a remainder.

1,13,431,5603

Greatest Common Factor

We found the factors 5395,5603 . The biggest common factor number is the GCF number.
So the greatest common factor 5395,5603 is 13.

Lets's calculate LCM of 898,4843

Given numbers has no common factors except 1. So, there LCM is their product i.e 4349014

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/4349014

Therefore, the GCF of Fractions 5395/898,5603/4843 is 13/4349014

Least Common Multiple of 898,4843 with GCF Formula

Least Common Multiple of 898,4843 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 898,4843 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(898,4843) = 1

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

GCF(898,4843) x common factors =1 x 1 = 1

LCM(898,4843) = ( 898 × 4843 ) / 1

LCM(898,4843) = 4349014 / 1

LCM(898,4843) = 4349014


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 5395/898, 5603/4843

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 5395/898, 5603/4843?

Answer: GCF of Numerators as per given numbers 5395/898, 5603/4843 is

GCF of Numerators i.e. for 5395,5603 is 13

LCM of denominators i.e. for 898,4843 is 4349014.

Thus, GCF of Fractions is 13/4349014.Finally, GCF of Fractions for 5395/898, 5603/4843 is 13/4349014.