Greatest Common Factor of 5164/205, 4506/998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5164/205, 4506/998

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 5164/205,4506/998

Given fractions are 5164/205,4506/998

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 5164,4506

Greatest Common Factor of Numerators i.e. GCF of 5164,4506 is 2 .

LCM of Denominators means LCM of 205,998 as per the given fractions.

LCM of 205,998 is 204590 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5164,4506

GCF of Fractions 5164/205,4506/998 is 2/204590

2 5164, 4506
2582, 2253

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

Greatest Common Factor of 5164,4506 By Matching Biggest Common Factor Method

Greatest Common Factor of 5164,4506 By Matching Biggest Common Factor Method

Factors of 5164

List of positive integer factors of 5164 that divides 5164 without a remainder.

1,2,4,1291,2582,5164

Factors of 4506

List of positive integer factors of 4506 that divides 4506 without a remainder.

1,2,3,6,751,1502,2253,4506

Greatest Common Factor

We found the factors 5164,4506 . The biggest common factor number is the GCF number.
So the greatest common factor 5164,4506 is 2.

Lets's calculate LCM of 205,998

Given numbers has no common factors except 1. So, there LCM is their product i.e 204590

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/204590

Therefore, the GCF of Fractions 5164/205,4506/998 is 2/204590

Least Common Multiple of 205,998 with GCF Formula

Least Common Multiple of 205,998 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 205,998 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(205,998) = 1

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

GCF(205,998) x common factors =1 x 1 = 1

LCM(205,998) = ( 205 × 998 ) / 1

LCM(205,998) = 204590 / 1

LCM(205,998) = 204590


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 5164/205, 4506/998

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 5164/205, 4506/998?

Answer: GCF of Numerators as per given numbers 5164/205, 4506/998 is

GCF of Numerators i.e. for 5164,4506 is 2

LCM of denominators i.e. for 205,998 is 204590.

Thus, GCF of Fractions is 2/204590.Finally, GCF of Fractions for 5164/205, 4506/998 is 2/204590.