Greatest Common Factor of 9853/398, 1825/8082

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9853/398, 1825/8082

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 9853/398,1825/8082

Given fractions are 9853/398,1825/8082

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 9853,1825

Greatest Common Factor of Numerators i.e. GCF of 9853,1825 is 1 .

LCM of Denominators means LCM of 398,8082 as per the given fractions.

LCM of 398,8082 is 1608318 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9853,1825

GCF of Fractions 9853/398,1825/8082 is 1/1608318

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

Greatest Common Factor of 9853,1825 By Matching Biggest Common Factor Method

Greatest Common Factor of 9853,1825 By Matching Biggest Common Factor Method

Factors of 9853

List of positive integer factors of 9853 that divides 9853 without a remainder.

1,59,167,9853

Factors of 1825

List of positive integer factors of 1825 that divides 1825 without a remainder.

1,5,25,73,365,1825

Greatest Common Factor

We found the factors 9853,1825 . The biggest common factor number is the GCF number.
So the greatest common factor 9853,1825 is 1.

Lets's calculate LCM of 398,8082

2 398, 8082
199, 4041

∴ So the LCM of the given numbers is 2 x 199 x 4041 = 1608318

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1608318

Therefore, the GCF of Fractions 9853/398,1825/8082 is 1/1608318

Least Common Multiple of 398,8082 with GCF Formula

Least Common Multiple of 398,8082 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 398,8082 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(398,8082) = 2

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

GCF(398,8082) x common factors =2 x 1 = 2

LCM(398,8082) = ( 398 × 8082 ) / 2

LCM(398,8082) = 3216636 / 2

LCM(398,8082) = 1608318


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 9853/398, 1825/8082

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 9853/398, 1825/8082?

Answer: GCF of Numerators as per given numbers 9853/398, 1825/8082 is

GCF of Numerators i.e. for 9853,1825 is 1

LCM of denominators i.e. for 398,8082 is 1608318.

Thus, GCF of Fractions is 1/1608318.Finally, GCF of Fractions for 9853/398, 1825/8082 is 1/1608318.