Greatest Common Factor of 144/13, 991/1985

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 144/13, 991/1985

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 144/13,991/1985

Given fractions are 144/13,991/1985

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 144,991

Greatest Common Factor of Numerators i.e. GCF of 144,991 is 1 .

LCM of Denominators means LCM of 13,1985 as per the given fractions.

LCM of 13,1985 is 25805 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 144,991

GCF of Fractions 144/13,991/1985 is 1/25805

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

Greatest Common Factor of 144,991 By Matching Biggest Common Factor Method

Greatest Common Factor of 144,991 By Matching Biggest Common Factor Method

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Factors of 991

List of positive integer factors of 991 that divides 991 without a remainder.

1,991

Greatest Common Factor

We found the factors 144,991 . The biggest common factor number is the GCF number.
So the greatest common factor 144,991 is 1.

Lets's calculate LCM of 13,1985

Given numbers has no common factors except 1. So, there LCM is their product i.e 25805

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25805

Therefore, the GCF of Fractions 144/13,991/1985 is 1/25805

Least Common Multiple of 13,1985 with GCF Formula

Least Common Multiple of 13,1985 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 13,1985 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,1985) = 1

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

GCF(13,1985) x common factors =1 x 1 = 1

LCM(13,1985) = ( 13 × 1985 ) / 1

LCM(13,1985) = 25805 / 1

LCM(13,1985) = 25805


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 144/13, 991/1985

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 144/13, 991/1985?

Answer: GCF of Numerators as per given numbers 144/13, 991/1985 is

GCF of Numerators i.e. for 144,991 is 1

LCM of denominators i.e. for 13,1985 is 25805.

Thus, GCF of Fractions is 1/25805.Finally, GCF of Fractions for 144/13, 991/1985 is 1/25805.