Greatest Common Factor of 4046/506, 1323/9909

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4046/506, 1323/9909

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 4046/506,1323/9909

Given fractions are 4046/506,1323/9909

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 4046,1323

Greatest Common Factor of Numerators i.e. GCF of 4046,1323 is 7 .

LCM of Denominators means LCM of 506,9909 as per the given fractions.

LCM of 506,9909 is 5013954 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4046,1323

GCF of Fractions 4046/506,1323/9909 is 7/5013954

7 4046, 1323
578, 189

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 4046,1323 By Matching Biggest Common Factor Method

Greatest Common Factor of 4046,1323 By Matching Biggest Common Factor Method

Factors of 4046

List of positive integer factors of 4046 that divides 4046 without a remainder.

1,2,7,14,17,34,119,238,289,578,2023,4046

Factors of 1323

List of positive integer factors of 1323 that divides 1323 without a remainder.

1,3,7,9,21,27,49,63,147,189,441,1323

Greatest Common Factor

We found the factors 4046,1323 . The biggest common factor number is the GCF number.
So the greatest common factor 4046,1323 is 7.

Lets's calculate LCM of 506,9909

Given numbers has no common factors except 1. So, there LCM is their product i.e 5013954

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/5013954

Therefore, the GCF of Fractions 4046/506,1323/9909 is 7/5013954

Least Common Multiple of 506,9909 with GCF Formula

Least Common Multiple of 506,9909 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 506,9909 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(506,9909) = 1

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

GCF(506,9909) x common factors =1 x 1 = 1

LCM(506,9909) = ( 506 × 9909 ) / 1

LCM(506,9909) = 5013954 / 1

LCM(506,9909) = 5013954


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 4046/506, 1323/9909

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 4046/506, 1323/9909?

Answer: GCF of Numerators as per given numbers 4046/506, 1323/9909 is

GCF of Numerators i.e. for 4046,1323 is 7

LCM of denominators i.e. for 506,9909 is 5013954.

Thus, GCF of Fractions is 7/5013954.Finally, GCF of Fractions for 4046/506, 1323/9909 is 7/5013954.