Greatest Common Factor of 5193/985, 8688/1479

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5193/985, 8688/1479

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 5193/985,8688/1479

Given fractions are 5193/985,8688/1479

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 5193,8688

Greatest Common Factor of Numerators i.e. GCF of 5193,8688 is 3 .

LCM of Denominators means LCM of 985,1479 as per the given fractions.

LCM of 985,1479 is 1456815 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5193,8688

GCF of Fractions 5193/985,8688/1479 is 3/1456815

3 5193, 8688
1731, 2896

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 5193,8688 By Matching Biggest Common Factor Method

Greatest Common Factor of 5193,8688 By Matching Biggest Common Factor Method

Factors of 5193

List of positive integer factors of 5193 that divides 5193 without a remainder.

1,3,9,577,1731,5193

Factors of 8688

List of positive integer factors of 8688 that divides 8688 without a remainder.

1,2,3,4,6,8,12,16,24,48,181,362,543,724,1086,1448,2172,2896,4344,8688

Greatest Common Factor

We found the factors 5193,8688 . The biggest common factor number is the GCF number.
So the greatest common factor 5193,8688 is 3.

Lets's calculate LCM of 985,1479

Given numbers has no common factors except 1. So, there LCM is their product i.e 1456815

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1456815

Therefore, the GCF of Fractions 5193/985,8688/1479 is 3/1456815

Least Common Multiple of 985,1479 with GCF Formula

Least Common Multiple of 985,1479 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 985,1479 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(985,1479) = 1

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

GCF(985,1479) x common factors =1 x 1 = 1

LCM(985,1479) = ( 985 × 1479 ) / 1

LCM(985,1479) = 1456815 / 1

LCM(985,1479) = 1456815


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 5193/985, 8688/1479

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 5193/985, 8688/1479?

Answer: GCF of Numerators as per given numbers 5193/985, 8688/1479 is

GCF of Numerators i.e. for 5193,8688 is 3

LCM of denominators i.e. for 985,1479 is 1456815.

Thus, GCF of Fractions is 3/1456815.Finally, GCF of Fractions for 5193/985, 8688/1479 is 3/1456815.