Greatest Common Factor of 9945/791, 2455/138

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9945/791, 2455/138

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 9945/791,2455/138

Given fractions are 9945/791,2455/138

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 9945,2455

Greatest Common Factor of Numerators i.e. GCF of 9945,2455 is 5 .

LCM of Denominators means LCM of 791,138 as per the given fractions.

LCM of 791,138 is 109158 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9945,2455

GCF of Fractions 9945/791,2455/138 is 5/109158

5 9945, 2455
1989, 491

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

Greatest Common Factor of 9945,2455 By Matching Biggest Common Factor Method

Greatest Common Factor of 9945,2455 By Matching Biggest Common Factor Method

Factors of 9945

List of positive integer factors of 9945 that divides 9945 without a remainder.

1,3,5,9,13,15,17,39,45,51,65,85,117,153,195,221,255,585,663,765,1105,1989,3315,9945

Factors of 2455

List of positive integer factors of 2455 that divides 2455 without a remainder.

1,5,491,2455

Greatest Common Factor

We found the factors 9945,2455 . The biggest common factor number is the GCF number.
So the greatest common factor 9945,2455 is 5.

Lets's calculate LCM of 791,138

Given numbers has no common factors except 1. So, there LCM is their product i.e 109158

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/109158

Therefore, the GCF of Fractions 9945/791,2455/138 is 5/109158

Least Common Multiple of 791,138 with GCF Formula

Least Common Multiple of 791,138 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 791,138 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(791,138) = 1

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

GCF(791,138) x common factors =1 x 1 = 1

LCM(791,138) = ( 791 × 138 ) / 1

LCM(791,138) = 109158 / 1

LCM(791,138) = 109158


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 9945/791, 2455/138

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 9945/791, 2455/138?

Answer: GCF of Numerators as per given numbers 9945/791, 2455/138 is

GCF of Numerators i.e. for 9945,2455 is 5

LCM of denominators i.e. for 791,138 is 109158.

Thus, GCF of Fractions is 5/109158.Finally, GCF of Fractions for 9945/791, 2455/138 is 5/109158.