Greatest Common Factor of 9825/41, 6842/801

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9825/41, 6842/801

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 9825/41,6842/801

Given fractions are 9825/41,6842/801

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 9825,6842

Greatest Common Factor of Numerators i.e. GCF of 9825,6842 is 1 .

LCM of Denominators means LCM of 41,801 as per the given fractions.

LCM of 41,801 is 32841 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9825,6842

GCF of Fractions 9825/41,6842/801 is 1/32841

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 9825,6842 By Matching Biggest Common Factor Method

Greatest Common Factor of 9825,6842 By Matching Biggest Common Factor Method

Factors of 9825

List of positive integer factors of 9825 that divides 9825 without a remainder.

1,3,5,15,25,75,131,393,655,1965,3275,9825

Factors of 6842

List of positive integer factors of 6842 that divides 6842 without a remainder.

1,2,11,22,311,622,3421,6842

Greatest Common Factor

We found the factors 9825,6842 . The biggest common factor number is the GCF number.
So the greatest common factor 9825,6842 is 1.

Lets's calculate LCM of 41,801

Given numbers has no common factors except 1. So, there LCM is their product i.e 32841

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32841

Therefore, the GCF of Fractions 9825/41,6842/801 is 1/32841

Least Common Multiple of 41,801 with GCF Formula

Least Common Multiple of 41,801 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 41,801 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,801) = 1

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

GCF(41,801) x common factors =1 x 1 = 1

LCM(41,801) = ( 41 × 801 ) / 1

LCM(41,801) = 32841 / 1

LCM(41,801) = 32841


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 9825/41, 6842/801

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 9825/41, 6842/801?

Answer: GCF of Numerators as per given numbers 9825/41, 6842/801 is

GCF of Numerators i.e. for 9825,6842 is 1

LCM of denominators i.e. for 41,801 is 32841.

Thus, GCF of Fractions is 1/32841.Finally, GCF of Fractions for 9825/41, 6842/801 is 1/32841.