Greatest Common Factor of 5320/32, 4110/399

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5320/32, 4110/399

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 5320/32,4110/399

Given fractions are 5320/32,4110/399

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 5320,4110

Greatest Common Factor of Numerators i.e. GCF of 5320,4110 is 10 .

LCM of Denominators means LCM of 32,399 as per the given fractions.

LCM of 32,399 is 12768 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5320,4110

GCF of Fractions 5320/32,4110/399 is 10/12768

2 5320, 4110
5 2660, 2055
532, 411

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

Greatest Common Factor of 5320,4110 By Matching Biggest Common Factor Method

Greatest Common Factor of 5320,4110 By Matching Biggest Common Factor Method

Factors of 5320

List of positive integer factors of 5320 that divides 5320 without a remainder.

1,2,4,5,7,8,10,14,19,20,28,35,38,40,56,70,76,95,133,140,152,190,266,280,380,532,665,760,1064,1330,2660,5320

Factors of 4110

List of positive integer factors of 4110 that divides 4110 without a remainder.

1,2,3,5,6,10,15,30,137,274,411,685,822,1370,2055,4110

Greatest Common Factor

We found the factors 5320,4110 . The biggest common factor number is the GCF number.
So the greatest common factor 5320,4110 is 10.

Lets's calculate LCM of 32,399

Given numbers has no common factors except 1. So, there LCM is their product i.e 12768

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/12768

Therefore, the GCF of Fractions 5320/32,4110/399 is 10/12768

Least Common Multiple of 32,399 with GCF Formula

Least Common Multiple of 32,399 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 32,399 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,399) = 1

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

GCF(32,399) x common factors =1 x 1 = 1

LCM(32,399) = ( 32 × 399 ) / 1

LCM(32,399) = 12768 / 1

LCM(32,399) = 12768


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 5320/32, 4110/399

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 5320/32, 4110/399?

Answer: GCF of Numerators as per given numbers 5320/32, 4110/399 is

GCF of Numerators i.e. for 5320,4110 is 10

LCM of denominators i.e. for 32,399 is 12768.

Thus, GCF of Fractions is 10/12768.Finally, GCF of Fractions for 5320/32, 4110/399 is 10/12768.