LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 187/13, 383/241

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 187/13, 383/241 i.e 1/3133 easily. The following is the detailed procedure to determine the greatest common factor of fractions 187/13, 383/241.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 187/13,383/241?

Given fractions are 187/13,383/241

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 187/13,383/241, numerators are 187,383

Denominators are 13,241

The GCF of 187,383 is 1 .

LCM of 13,241 is 3133.

The greatest common factor of 187/13,383/241 = [GCF of 187,383]/[LCM of 13,241]= 1/3133

Therefore, the GCF of 187/13,383/241 is 1/3133.

Greatest Common Factor of 187,383

To find the highest common factor of 187,383, we have to find the factors of both numbers and list the highest common factor.

The factors of 187 are 1, 11, 17, 187

The factors of 383 are 1, 383

The HCF of 187,383 is 1.

Lets's calculate GCF of 187,383

Greatest Common Factor (GCF) of 187,383 By Common Division

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

Greatest Common Factor of 187,383 By Matching Biggest Common Factor Method

Greatest Common Factor of 187,383 By Matching Biggest Common Factor Method

Now, list down the factors of 187

:

1,11,17,187

Now, list down the factors of 383

:

1,383

Greatest Common Factor

We found the factors 187,383 . The biggest common factor number is the GCF number.
So the greatest common factor 187,383 is 1.

Lets's calculate LCM of 13,241

Lowest Common Multiple of 13,241 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3133

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3133

Therefore, the GCF of Fractions 187/13,383/241 is 1/3133

Least Common Multiple of 13,241 with GCF Formula

Least Common Multiple of 13,241 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 13,241 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,241) = 1

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

GCF(13,241) x common factors =1 x 1 = 1

LCM(13,241) = ( 13 × 241 ) / 1

LCM(13,241) = 3133 / 1

LCM(13,241) = 3133


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 187/13, 383/241

1. What is the HCF of 187,383?

The HCF of 187,383 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 187/13, 383/241?

Answer: GCF of Numerators as per given numbers 187/13, 383/241 is

GCF of Numerators i.e. for 187,383 is 1

LCM of denominators i.e. for 13,241 is 3133.

Thus, GCF of Fractions is 1/3133.Finally, GCF of Fractions for 187/13, 383/241 is 1/3133.