Greatest Common Factor of 8663/51, 5501/748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8663/51, 5501/748

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 8663/51,5501/748

Given fractions are 8663/51,5501/748

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 8663,5501

Greatest Common Factor of Numerators i.e. GCF of 8663,5501 is 1 .

LCM of Denominators means LCM of 51,748 as per the given fractions.

LCM of 51,748 is 2244 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8663,5501

GCF of Fractions 8663/51,5501/748 is 1/2244

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

Greatest Common Factor of 8663,5501 By Matching Biggest Common Factor Method

Greatest Common Factor of 8663,5501 By Matching Biggest Common Factor Method

Factors of 8663

List of positive integer factors of 8663 that divides 8663 without a remainder.

1,8663

Factors of 5501

List of positive integer factors of 5501 that divides 5501 without a remainder.

1,5501

Greatest Common Factor

We found the factors 8663,5501 . The biggest common factor number is the GCF number.
So the greatest common factor 8663,5501 is 1.

Lets's calculate LCM of 51,748

17 51, 748
3, 44

∴ So the LCM of the given numbers is 17 x 3 x 44 = 2244

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2244

Therefore, the GCF of Fractions 8663/51,5501/748 is 1/2244

Least Common Multiple of 51,748 with GCF Formula

Least Common Multiple of 51,748 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 51,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,748) = 17

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

GCF(51,748) x common factors =17 x 1 = 17

LCM(51,748) = ( 51 × 748 ) / 17

LCM(51,748) = 38148 / 17

LCM(51,748) = 2244


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 8663/51, 5501/748

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 8663/51, 5501/748?

Answer: GCF of Numerators as per given numbers 8663/51, 5501/748 is

GCF of Numerators i.e. for 8663,5501 is 1

LCM of denominators i.e. for 51,748 is 2244.

Thus, GCF of Fractions is 1/2244.Finally, GCF of Fractions for 8663/51, 5501/748 is 1/2244.