Greatest Common Factor of 5491/683, 5282/3802

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5491/683, 5282/3802

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 5491/683,5282/3802

Given fractions are 5491/683,5282/3802

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 5491,5282

Greatest Common Factor of Numerators i.e. GCF of 5491,5282 is 19 .

LCM of Denominators means LCM of 683,3802 as per the given fractions.

LCM of 683,3802 is 2596766 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5491,5282

GCF of Fractions 5491/683,5282/3802 is 19/2596766

19 5491, 5282
289, 278

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 5491,5282 By Matching Biggest Common Factor Method

Greatest Common Factor of 5491,5282 By Matching Biggest Common Factor Method

Factors of 5491

List of positive integer factors of 5491 that divides 5491 without a remainder.

1,17,19,289,323,5491

Factors of 5282

List of positive integer factors of 5282 that divides 5282 without a remainder.

1,2,19,38,139,278,2641,5282

Greatest Common Factor

We found the factors 5491,5282 . The biggest common factor number is the GCF number.
So the greatest common factor 5491,5282 is 19.

Lets's calculate LCM of 683,3802

Given numbers has no common factors except 1. So, there LCM is their product i.e 2596766

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/2596766

Therefore, the GCF of Fractions 5491/683,5282/3802 is 19/2596766

Least Common Multiple of 683,3802 with GCF Formula

Least Common Multiple of 683,3802 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 683,3802 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(683,3802) = 1

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

GCF(683,3802) x common factors =1 x 1 = 1

LCM(683,3802) = ( 683 × 3802 ) / 1

LCM(683,3802) = 2596766 / 1

LCM(683,3802) = 2596766


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 5491/683, 5282/3802

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 5491/683, 5282/3802?

Answer: GCF of Numerators as per given numbers 5491/683, 5282/3802 is

GCF of Numerators i.e. for 5491,5282 is 19

LCM of denominators i.e. for 683,3802 is 2596766.

Thus, GCF of Fractions is 19/2596766.Finally, GCF of Fractions for 5491/683, 5282/3802 is 19/2596766.