Greatest Common Factor of 5145/40, 6083/486

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5145/40, 6083/486

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 5145/40,6083/486

Given fractions are 5145/40,6083/486

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 5145,6083

Greatest Common Factor of Numerators i.e. GCF of 5145,6083 is 7 .

LCM of Denominators means LCM of 40,486 as per the given fractions.

LCM of 40,486 is 9720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5145,6083

GCF of Fractions 5145/40,6083/486 is 7/9720

7 5145, 6083
735, 869

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

Greatest Common Factor of 5145,6083 By Matching Biggest Common Factor Method

Greatest Common Factor of 5145,6083 By Matching Biggest Common Factor Method

Factors of 5145

List of positive integer factors of 5145 that divides 5145 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,343,735,1029,1715,5145

Factors of 6083

List of positive integer factors of 6083 that divides 6083 without a remainder.

1,7,11,77,79,553,869,6083

Greatest Common Factor

We found the factors 5145,6083 . The biggest common factor number is the GCF number.
So the greatest common factor 5145,6083 is 7.

Lets's calculate LCM of 40,486

2 40, 486
20, 243

∴ So the LCM of the given numbers is 2 x 20 x 243 = 9720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/9720

Therefore, the GCF of Fractions 5145/40,6083/486 is 7/9720

Least Common Multiple of 40,486 with GCF Formula

Least Common Multiple of 40,486 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 40,486 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,486) = 2

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

GCF(40,486) x common factors =2 x 1 = 2

LCM(40,486) = ( 40 × 486 ) / 2

LCM(40,486) = 19440 / 2

LCM(40,486) = 9720


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 5145/40, 6083/486

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 5145/40, 6083/486?

Answer: GCF of Numerators as per given numbers 5145/40, 6083/486 is

GCF of Numerators i.e. for 5145,6083 is 7

LCM of denominators i.e. for 40,486 is 9720.

Thus, GCF of Fractions is 7/9720.Finally, GCF of Fractions for 5145/40, 6083/486 is 7/9720.