Greatest Common Factor of 9834/25, 2145/313

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9834/25, 2145/313

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 9834/25,2145/313

Given fractions are 9834/25,2145/313

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 9834,2145

Greatest Common Factor of Numerators i.e. GCF of 9834,2145 is 33 .

LCM of Denominators means LCM of 25,313 as per the given fractions.

LCM of 25,313 is 7825 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9834,2145

GCF of Fractions 9834/25,2145/313 is 33/7825

3 9834, 2145
11 3278, 715
298, 65

∴ So the GCF of the given numbers is 3 x 11 = 33

Greatest Common Factor of 9834,2145 By Matching Biggest Common Factor Method

Greatest Common Factor of 9834,2145 By Matching Biggest Common Factor Method

Factors of 9834

List of positive integer factors of 9834 that divides 9834 without a remainder.

1,2,3,6,11,22,33,66,149,298,447,894,1639,3278,4917,9834

Factors of 2145

List of positive integer factors of 2145 that divides 2145 without a remainder.

1,3,5,11,13,15,33,39,55,65,143,165,195,429,715,2145

Greatest Common Factor

We found the factors 9834,2145 . The biggest common factor number is the GCF number.
So the greatest common factor 9834,2145 is 33.

Lets's calculate LCM of 25,313

Given numbers has no common factors except 1. So, there LCM is their product i.e 7825

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 33/7825

Therefore, the GCF of Fractions 9834/25,2145/313 is 33/7825

Least Common Multiple of 25,313 with GCF Formula

Least Common Multiple of 25,313 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 25,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,313) = 1

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

GCF(25,313) x common factors =1 x 1 = 1

LCM(25,313) = ( 25 × 313 ) / 1

LCM(25,313) = 7825 / 1

LCM(25,313) = 7825


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 9834/25, 2145/313

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 9834/25, 2145/313?

Answer: GCF of Numerators as per given numbers 9834/25, 2145/313 is

GCF of Numerators i.e. for 9834,2145 is 33

LCM of denominators i.e. for 25,313 is 7825.

Thus, GCF of Fractions is 33/7825.Finally, GCF of Fractions for 9834/25, 2145/313 is 33/7825.