Greatest Common Factor of 4085/819, 4665/826

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4085/819, 4665/826

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 4085/819,4665/826

Given fractions are 4085/819,4665/826

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 4085,4665

Greatest Common Factor of Numerators i.e. GCF of 4085,4665 is 5 .

LCM of Denominators means LCM of 819,826 as per the given fractions.

LCM of 819,826 is 96642 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4085,4665

GCF of Fractions 4085/819,4665/826 is 5/96642

5 4085, 4665
817, 933

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 4085,4665 By Matching Biggest Common Factor Method

Greatest Common Factor of 4085,4665 By Matching Biggest Common Factor Method

Factors of 4085

List of positive integer factors of 4085 that divides 4085 without a remainder.

1,5,19,43,95,215,817,4085

Factors of 4665

List of positive integer factors of 4665 that divides 4665 without a remainder.

1,3,5,15,311,933,1555,4665

Greatest Common Factor

We found the factors 4085,4665 . The biggest common factor number is the GCF number.
So the greatest common factor 4085,4665 is 5.

Lets's calculate LCM of 819,826

7 819, 826
117, 118

∴ So the LCM of the given numbers is 7 x 117 x 118 = 96642

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/96642

Therefore, the GCF of Fractions 4085/819,4665/826 is 5/96642

Least Common Multiple of 819,826 with GCF Formula

Least Common Multiple of 819,826 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 819,826 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(819,826) = 7

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

GCF(819,826) x common factors =7 x 1 = 7

LCM(819,826) = ( 819 × 826 ) / 7

LCM(819,826) = 676494 / 7

LCM(819,826) = 96642


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 4085/819, 4665/826

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 4085/819, 4665/826?

Answer: GCF of Numerators as per given numbers 4085/819, 4665/826 is

GCF of Numerators i.e. for 4085,4665 is 5

LCM of denominators i.e. for 819,826 is 96642.

Thus, GCF of Fractions is 5/96642.Finally, GCF of Fractions for 4085/819, 4665/826 is 5/96642.