Greatest Common Factor of 1648/51, 4880/805

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1648/51, 4880/805

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 1648/51,4880/805

Given fractions are 1648/51,4880/805

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 1648,4880

Greatest Common Factor of Numerators i.e. GCF of 1648,4880 is 16 .

LCM of Denominators means LCM of 51,805 as per the given fractions.

LCM of 51,805 is 41055 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1648,4880

GCF of Fractions 1648/51,4880/805 is 16/41055

2 1648, 4880
2 824, 2440
2 412, 1220
2 206, 610
103, 305

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 1648,4880 By Matching Biggest Common Factor Method

Greatest Common Factor of 1648,4880 By Matching Biggest Common Factor Method

Factors of 1648

List of positive integer factors of 1648 that divides 1648 without a remainder.

1,2,4,8,16,103,206,412,824,1648

Factors of 4880

List of positive integer factors of 4880 that divides 4880 without a remainder.

1,2,4,5,8,10,16,20,40,61,80,122,244,305,488,610,976,1220,2440,4880

Greatest Common Factor

We found the factors 1648,4880 . The biggest common factor number is the GCF number.
So the greatest common factor 1648,4880 is 16.

Lets's calculate LCM of 51,805

Given numbers has no common factors except 1. So, there LCM is their product i.e 41055

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/41055

Therefore, the GCF of Fractions 1648/51,4880/805 is 16/41055

Least Common Multiple of 51,805 with GCF Formula

Least Common Multiple of 51,805 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 51,805 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,805) = 1

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

GCF(51,805) x common factors =1 x 1 = 1

LCM(51,805) = ( 51 × 805 ) / 1

LCM(51,805) = 41055 / 1

LCM(51,805) = 41055


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 1648/51, 4880/805

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 1648/51, 4880/805?

Answer: GCF of Numerators as per given numbers 1648/51, 4880/805 is

GCF of Numerators i.e. for 1648,4880 is 16

LCM of denominators i.e. for 51,805 is 41055.

Thus, GCF of Fractions is 16/41055.Finally, GCF of Fractions for 1648/51, 4880/805 is 16/41055.