Greatest Common Factor of 3395/410, 4403/1317

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3395/410, 4403/1317

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 3395/410,4403/1317

Given fractions are 3395/410,4403/1317

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 3395,4403

Greatest Common Factor of Numerators i.e. GCF of 3395,4403 is 7 .

LCM of Denominators means LCM of 410,1317 as per the given fractions.

LCM of 410,1317 is 539970 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3395,4403

GCF of Fractions 3395/410,4403/1317 is 7/539970

7 3395, 4403
485, 629

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 3395,4403 By Matching Biggest Common Factor Method

Greatest Common Factor of 3395,4403 By Matching Biggest Common Factor Method

Factors of 3395

List of positive integer factors of 3395 that divides 3395 without a remainder.

1,5,7,35,97,485,679,3395

Factors of 4403

List of positive integer factors of 4403 that divides 4403 without a remainder.

1,7,17,37,119,259,629,4403

Greatest Common Factor

We found the factors 3395,4403 . The biggest common factor number is the GCF number.
So the greatest common factor 3395,4403 is 7.

Lets's calculate LCM of 410,1317

Given numbers has no common factors except 1. So, there LCM is their product i.e 539970

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/539970

Therefore, the GCF of Fractions 3395/410,4403/1317 is 7/539970

Least Common Multiple of 410,1317 with GCF Formula

Least Common Multiple of 410,1317 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 410,1317 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(410,1317) = 1

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

GCF(410,1317) x common factors =1 x 1 = 1

LCM(410,1317) = ( 410 × 1317 ) / 1

LCM(410,1317) = 539970 / 1

LCM(410,1317) = 539970


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 3395/410, 4403/1317

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 3395/410, 4403/1317?

Answer: GCF of Numerators as per given numbers 3395/410, 4403/1317 is

GCF of Numerators i.e. for 3395,4403 is 7

LCM of denominators i.e. for 410,1317 is 539970.

Thus, GCF of Fractions is 7/539970.Finally, GCF of Fractions for 3395/410, 4403/1317 is 7/539970.