Greatest Common Factor of 3391/134, 5609/1496

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3391/134, 5609/1496

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 3391/134,5609/1496

Given fractions are 3391/134,5609/1496

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 3391,5609

Greatest Common Factor of Numerators i.e. GCF of 3391,5609 is 1 .

LCM of Denominators means LCM of 134,1496 as per the given fractions.

LCM of 134,1496 is 100232 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3391,5609

GCF of Fractions 3391/134,5609/1496 is 1/100232

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

Greatest Common Factor of 3391,5609 By Matching Biggest Common Factor Method

Greatest Common Factor of 3391,5609 By Matching Biggest Common Factor Method

Factors of 3391

List of positive integer factors of 3391 that divides 3391 without a remainder.

1,3391

Factors of 5609

List of positive integer factors of 5609 that divides 5609 without a remainder.

1,71,79,5609

Greatest Common Factor

We found the factors 3391,5609 . The biggest common factor number is the GCF number.
So the greatest common factor 3391,5609 is 1.

Lets's calculate LCM of 134,1496

2 134, 1496
67, 748

∴ So the LCM of the given numbers is 2 x 67 x 748 = 100232

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/100232

Therefore, the GCF of Fractions 3391/134,5609/1496 is 1/100232

Least Common Multiple of 134,1496 with GCF Formula

Least Common Multiple of 134,1496 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 134,1496 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(134,1496) = 2

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

GCF(134,1496) x common factors =2 x 1 = 2

LCM(134,1496) = ( 134 × 1496 ) / 2

LCM(134,1496) = 200464 / 2

LCM(134,1496) = 100232


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 3391/134, 5609/1496

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 3391/134, 5609/1496?

Answer: GCF of Numerators as per given numbers 3391/134, 5609/1496 is

GCF of Numerators i.e. for 3391,5609 is 1

LCM of denominators i.e. for 134,1496 is 100232.

Thus, GCF of Fractions is 1/100232.Finally, GCF of Fractions for 3391/134, 5609/1496 is 1/100232.