Greatest Common Factor of 5698/809, 3036/4909

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5698/809, 3036/4909

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 5698/809,3036/4909

Given fractions are 5698/809,3036/4909

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 5698,3036

Greatest Common Factor of Numerators i.e. GCF of 5698,3036 is 22 .

LCM of Denominators means LCM of 809,4909 as per the given fractions.

LCM of 809,4909 is 3971381 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5698,3036

GCF of Fractions 5698/809,3036/4909 is 22/3971381

2 5698, 3036
11 2849, 1518
259, 138

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 5698,3036 By Matching Biggest Common Factor Method

Greatest Common Factor of 5698,3036 By Matching Biggest Common Factor Method

Factors of 5698

List of positive integer factors of 5698 that divides 5698 without a remainder.

1,2,7,11,14,22,37,74,77,154,259,407,518,814,2849,5698

Factors of 3036

List of positive integer factors of 3036 that divides 3036 without a remainder.

1,2,3,4,6,11,12,22,23,33,44,46,66,69,92,132,138,253,276,506,759,1012,1518,3036

Greatest Common Factor

We found the factors 5698,3036 . The biggest common factor number is the GCF number.
So the greatest common factor 5698,3036 is 22.

Lets's calculate LCM of 809,4909

Given numbers has no common factors except 1. So, there LCM is their product i.e 3971381

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/3971381

Therefore, the GCF of Fractions 5698/809,3036/4909 is 22/3971381

Least Common Multiple of 809,4909 with GCF Formula

Least Common Multiple of 809,4909 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 809,4909 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(809,4909) = 1

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

GCF(809,4909) x common factors =1 x 1 = 1

LCM(809,4909) = ( 809 × 4909 ) / 1

LCM(809,4909) = 3971381 / 1

LCM(809,4909) = 3971381


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 5698/809, 3036/4909

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 5698/809, 3036/4909?

Answer: GCF of Numerators as per given numbers 5698/809, 3036/4909 is

GCF of Numerators i.e. for 5698,3036 is 22

LCM of denominators i.e. for 809,4909 is 3971381.

Thus, GCF of Fractions is 22/3971381.Finally, GCF of Fractions for 5698/809, 3036/4909 is 22/3971381.