Greatest Common Factor of 8440/484, 3443/461

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8440/484, 3443/461

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 8440/484,3443/461

Given fractions are 8440/484,3443/461

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 8440,3443

Greatest Common Factor of Numerators i.e. GCF of 8440,3443 is 1 .

LCM of Denominators means LCM of 484,461 as per the given fractions.

LCM of 484,461 is 223124 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8440,3443

GCF of Fractions 8440/484,3443/461 is 1/223124

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

Greatest Common Factor of 8440,3443 By Matching Biggest Common Factor Method

Greatest Common Factor of 8440,3443 By Matching Biggest Common Factor Method

Factors of 8440

List of positive integer factors of 8440 that divides 8440 without a remainder.

1,2,4,5,8,10,20,40,211,422,844,1055,1688,2110,4220,8440

Factors of 3443

List of positive integer factors of 3443 that divides 3443 without a remainder.

1,11,313,3443

Greatest Common Factor

We found the factors 8440,3443 . The biggest common factor number is the GCF number.
So the greatest common factor 8440,3443 is 1.

Lets's calculate LCM of 484,461

Given numbers has no common factors except 1. So, there LCM is their product i.e 223124

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/223124

Therefore, the GCF of Fractions 8440/484,3443/461 is 1/223124

Least Common Multiple of 484,461 with GCF Formula

Least Common Multiple of 484,461 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 484,461 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(484,461) = 1

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

GCF(484,461) x common factors =1 x 1 = 1

LCM(484,461) = ( 484 × 461 ) / 1

LCM(484,461) = 223124 / 1

LCM(484,461) = 223124


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 8440/484, 3443/461

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 8440/484, 3443/461?

Answer: GCF of Numerators as per given numbers 8440/484, 3443/461 is

GCF of Numerators i.e. for 8440,3443 is 1

LCM of denominators i.e. for 484,461 is 223124.

Thus, GCF of Fractions is 1/223124.Finally, GCF of Fractions for 8440/484, 3443/461 is 1/223124.