Greatest Common Factor of 9849/193, 5955/965

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9849/193, 5955/965

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 9849/193,5955/965

Given fractions are 9849/193,5955/965

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 9849,5955

Greatest Common Factor of Numerators i.e. GCF of 9849,5955 is 3 .

LCM of Denominators means LCM of 193,965 as per the given fractions.

LCM of 193,965 is 965 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9849,5955

GCF of Fractions 9849/193,5955/965 is 3/965

3 9849, 5955
3283, 1985

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 9849,5955 By Matching Biggest Common Factor Method

Greatest Common Factor of 9849,5955 By Matching Biggest Common Factor Method

Factors of 9849

List of positive integer factors of 9849 that divides 9849 without a remainder.

1,3,7,21,49,67,147,201,469,1407,3283,9849

Factors of 5955

List of positive integer factors of 5955 that divides 5955 without a remainder.

1,3,5,15,397,1191,1985,5955

Greatest Common Factor

We found the factors 9849,5955 . The biggest common factor number is the GCF number.
So the greatest common factor 9849,5955 is 3.

Lets's calculate LCM of 193,965

193 193, 965
1, 5

∴ So the LCM of the given numbers is 193 x 1 x 5 = 965

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/965

Therefore, the GCF of Fractions 9849/193,5955/965 is 3/965

Least Common Multiple of 193,965 with GCF Formula

Least Common Multiple of 193,965 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 193,965 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(193,965) = 193

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

GCF(193,965) x common factors =193 x 1 = 193

LCM(193,965) = ( 193 × 965 ) / 193

LCM(193,965) = 186245 / 193

LCM(193,965) = 965


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 9849/193, 5955/965

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 9849/193, 5955/965?

Answer: GCF of Numerators as per given numbers 9849/193, 5955/965 is

GCF of Numerators i.e. for 9849,5955 is 3

LCM of denominators i.e. for 193,965 is 965.

Thus, GCF of Fractions is 3/965.Finally, GCF of Fractions for 9849/193, 5955/965 is 3/965.