Greatest Common Factor of 5017/892, 1998/6655

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5017/892, 1998/6655

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 5017/892,1998/6655

Given fractions are 5017/892,1998/6655

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 5017,1998

Greatest Common Factor of Numerators i.e. GCF of 5017,1998 is 1 .

LCM of Denominators means LCM of 892,6655 as per the given fractions.

LCM of 892,6655 is 5936260 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5017,1998

GCF of Fractions 5017/892,1998/6655 is 1/5936260

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

Greatest Common Factor of 5017,1998 By Matching Biggest Common Factor Method

Greatest Common Factor of 5017,1998 By Matching Biggest Common Factor Method

Factors of 5017

List of positive integer factors of 5017 that divides 5017 without a remainder.

1,29,173,5017

Factors of 1998

List of positive integer factors of 1998 that divides 1998 without a remainder.

1,2,3,6,9,18,27,37,54,74,111,222,333,666,999,1998

Greatest Common Factor

We found the factors 5017,1998 . The biggest common factor number is the GCF number.
So the greatest common factor 5017,1998 is 1.

Lets's calculate LCM of 892,6655

Given numbers has no common factors except 1. So, there LCM is their product i.e 5936260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5936260

Therefore, the GCF of Fractions 5017/892,1998/6655 is 1/5936260

Least Common Multiple of 892,6655 with GCF Formula

Least Common Multiple of 892,6655 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 892,6655 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(892,6655) = 1

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

GCF(892,6655) x common factors =1 x 1 = 1

LCM(892,6655) = ( 892 × 6655 ) / 1

LCM(892,6655) = 5936260 / 1

LCM(892,6655) = 5936260


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 5017/892, 1998/6655

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 5017/892, 1998/6655?

Answer: GCF of Numerators as per given numbers 5017/892, 1998/6655 is

GCF of Numerators i.e. for 5017,1998 is 1

LCM of denominators i.e. for 892,6655 is 5936260.

Thus, GCF of Fractions is 1/5936260.Finally, GCF of Fractions for 5017/892, 1998/6655 is 1/5936260.