Greatest Common Factor of 3340/321, 5810/437

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3340/321, 5810/437

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 3340/321,5810/437

Given fractions are 3340/321,5810/437

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 3340,5810

Greatest Common Factor of Numerators i.e. GCF of 3340,5810 is 10 .

LCM of Denominators means LCM of 321,437 as per the given fractions.

LCM of 321,437 is 140277 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3340,5810

GCF of Fractions 3340/321,5810/437 is 10/140277

2 3340, 5810
5 1670, 2905
334, 581

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 3340,5810 By Matching Biggest Common Factor Method

Greatest Common Factor of 3340,5810 By Matching Biggest Common Factor Method

Factors of 3340

List of positive integer factors of 3340 that divides 3340 without a remainder.

1,2,4,5,10,20,167,334,668,835,1670,3340

Factors of 5810

List of positive integer factors of 5810 that divides 5810 without a remainder.

1,2,5,7,10,14,35,70,83,166,415,581,830,1162,2905,5810

Greatest Common Factor

We found the factors 3340,5810 . The biggest common factor number is the GCF number.
So the greatest common factor 3340,5810 is 10.

Lets's calculate LCM of 321,437

Given numbers has no common factors except 1. So, there LCM is their product i.e 140277

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/140277

Therefore, the GCF of Fractions 3340/321,5810/437 is 10/140277

Least Common Multiple of 321,437 with GCF Formula

Least Common Multiple of 321,437 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 321,437 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(321,437) = 1

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

GCF(321,437) x common factors =1 x 1 = 1

LCM(321,437) = ( 321 × 437 ) / 1

LCM(321,437) = 140277 / 1

LCM(321,437) = 140277


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 3340/321, 5810/437

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 3340/321, 5810/437?

Answer: GCF of Numerators as per given numbers 3340/321, 5810/437 is

GCF of Numerators i.e. for 3340,5810 is 10

LCM of denominators i.e. for 321,437 is 140277.

Thus, GCF of Fractions is 10/140277.Finally, GCF of Fractions for 3340/321, 5810/437 is 10/140277.