Greatest Common Factor of 3414/65, 5471/403

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3414/65, 5471/403

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 3414/65,5471/403

Given fractions are 3414/65,5471/403

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 3414,5471

Greatest Common Factor of Numerators i.e. GCF of 3414,5471 is 1 .

LCM of Denominators means LCM of 65,403 as per the given fractions.

LCM of 65,403 is 2015 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3414,5471

GCF of Fractions 3414/65,5471/403 is 1/2015

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

Greatest Common Factor of 3414,5471 By Matching Biggest Common Factor Method

Greatest Common Factor of 3414,5471 By Matching Biggest Common Factor Method

Factors of 3414

List of positive integer factors of 3414 that divides 3414 without a remainder.

1,2,3,6,569,1138,1707,3414

Factors of 5471

List of positive integer factors of 5471 that divides 5471 without a remainder.

1,5471

Greatest Common Factor

We found the factors 3414,5471 . The biggest common factor number is the GCF number.
So the greatest common factor 3414,5471 is 1.

Lets's calculate LCM of 65,403

13 65, 403
5, 31

∴ So the LCM of the given numbers is 13 x 5 x 31 = 2015

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2015

Therefore, the GCF of Fractions 3414/65,5471/403 is 1/2015

Least Common Multiple of 65,403 with GCF Formula

Least Common Multiple of 65,403 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 65,403 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,403) = 13

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

GCF(65,403) x common factors =13 x 1 = 13

LCM(65,403) = ( 65 × 403 ) / 13

LCM(65,403) = 26195 / 13

LCM(65,403) = 2015


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 3414/65, 5471/403

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 3414/65, 5471/403?

Answer: GCF of Numerators as per given numbers 3414/65, 5471/403 is

GCF of Numerators i.e. for 3414,5471 is 1

LCM of denominators i.e. for 65,403 is 2015.

Thus, GCF of Fractions is 1/2015.Finally, GCF of Fractions for 3414/65, 5471/403 is 1/2015.