Greatest Common Factor of 5105/47, 6480/760

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5105/47, 6480/760

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 5105/47,6480/760

Given fractions are 5105/47,6480/760

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 5105,6480

Greatest Common Factor of Numerators i.e. GCF of 5105,6480 is 5 .

LCM of Denominators means LCM of 47,760 as per the given fractions.

LCM of 47,760 is 35720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5105,6480

GCF of Fractions 5105/47,6480/760 is 5/35720

5 5105, 6480
1021, 1296

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 5105,6480 By Matching Biggest Common Factor Method

Greatest Common Factor of 5105,6480 By Matching Biggest Common Factor Method

Factors of 5105

List of positive integer factors of 5105 that divides 5105 without a remainder.

1,5,1021,5105

Factors of 6480

List of positive integer factors of 6480 that divides 6480 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,27,30,36,40,45,48,54,60,72,80,81,90,108,120,135,144,162,180,216,240,270,324,360,405,432,540,648,720,810,1080,1296,1620,2160,3240,6480

Greatest Common Factor

We found the factors 5105,6480 . The biggest common factor number is the GCF number.
So the greatest common factor 5105,6480 is 5.

Lets's calculate LCM of 47,760

Given numbers has no common factors except 1. So, there LCM is their product i.e 35720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/35720

Therefore, the GCF of Fractions 5105/47,6480/760 is 5/35720

Least Common Multiple of 47,760 with GCF Formula

Least Common Multiple of 47,760 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 47,760 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,760) = 1

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

GCF(47,760) x common factors =1 x 1 = 1

LCM(47,760) = ( 47 × 760 ) / 1

LCM(47,760) = 35720 / 1

LCM(47,760) = 35720


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 5105/47, 6480/760

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 5105/47, 6480/760?

Answer: GCF of Numerators as per given numbers 5105/47, 6480/760 is

GCF of Numerators i.e. for 5105,6480 is 5

LCM of denominators i.e. for 47,760 is 35720.

Thus, GCF of Fractions is 5/35720.Finally, GCF of Fractions for 5105/47, 6480/760 is 5/35720.