Greatest Common Factor of 4485/99, 6851/509

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4485/99, 6851/509

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 4485/99,6851/509

Given fractions are 4485/99,6851/509

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 4485,6851

Greatest Common Factor of Numerators i.e. GCF of 4485,6851 is 13 .

LCM of Denominators means LCM of 99,509 as per the given fractions.

LCM of 99,509 is 50391 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4485,6851

GCF of Fractions 4485/99,6851/509 is 13/50391

13 4485, 6851
345, 527

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 4485,6851 By Matching Biggest Common Factor Method

Greatest Common Factor of 4485,6851 By Matching Biggest Common Factor Method

Factors of 4485

List of positive integer factors of 4485 that divides 4485 without a remainder.

1,3,5,13,15,23,39,65,69,115,195,299,345,897,1495,4485

Factors of 6851

List of positive integer factors of 6851 that divides 6851 without a remainder.

1,13,17,31,221,403,527,6851

Greatest Common Factor

We found the factors 4485,6851 . The biggest common factor number is the GCF number.
So the greatest common factor 4485,6851 is 13.

Lets's calculate LCM of 99,509

Given numbers has no common factors except 1. So, there LCM is their product i.e 50391

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/50391

Therefore, the GCF of Fractions 4485/99,6851/509 is 13/50391

Least Common Multiple of 99,509 with GCF Formula

Least Common Multiple of 99,509 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 99,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,509) = 1

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

GCF(99,509) x common factors =1 x 1 = 1

LCM(99,509) = ( 99 × 509 ) / 1

LCM(99,509) = 50391 / 1

LCM(99,509) = 50391


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 4485/99, 6851/509

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 4485/99, 6851/509?

Answer: GCF of Numerators as per given numbers 4485/99, 6851/509 is

GCF of Numerators i.e. for 4485,6851 is 13

LCM of denominators i.e. for 99,509 is 50391.

Thus, GCF of Fractions is 13/50391.Finally, GCF of Fractions for 4485/99, 6851/509 is 13/50391.