How to Find GCF of 5863/687, 1243/3901?

GCF of 5863/687, 1243/3901

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 5863/687, 1243/3901 i.e 11/2679987 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5863/687, 1243/3901.

Enter two or more fractions separated by "commas"

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

What is the GCF of 5863/687,1243/3901?

Given fractions are 5863/687,1243/3901

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 5863/687,1243/3901, numerators are 5863,1243

Denominators are 687,3901

The GCF of 5863,1243 is 11 .

LCM of 687,3901 is 2679987.

The greatest common factor of 5863/687,1243/3901 = [GCF of 5863,1243]/[LCM of 687,3901]= 11/2679987

Therefore, the GCF of 5863/687,1243/3901 is 11/2679987.

Greatest Common Factor of 5863,1243

To find the highest common factor of 5863,1243, we have to find the factors of both numbers and list the highest common factor.

The factors of 5863 are 1, 11, 13, 41, 143, 451, 533, 5863

The factors of 1243 are 1, 11, 113, 1243

The HCF of 5863,1243 is 11.

Lets's calculate GCF of 5863,1243

Greatest Common Factor (GCF) of 5863,1243 By Common Division

11	5863, 1243
	533, 113

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 5863,1243 By Matching Biggest Common Factor Method

Now, list down the factors of 5863

1,11,13,41,143,451,533,5863

Now, list down the factors of 1243

1,11,113,1243

Greatest Common Factor

We found the factors 5863,1243 . The biggest common factor number is the GCF number.
So the greatest common factor 5863,1243 is 11.

Lets's calculate LCM of 687,3901

Lowest Common Multiple of 687,3901 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2679987

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/2679987

Therefore, the GCF of Fractions 5863/687,1243/3901 is 11/2679987

Least Common Multiple of 687,3901 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 687,3901 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(687,3901) = 1

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

GCF(687,3901) x common factors =1 x 1 = 1

LCM(687,3901) = ( 687 × 3901 ) / 1

LCM(687,3901) = 2679987 / 1

LCM(687,3901) = 2679987

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 5863/687, 1243/3901

1. What is the HCF of 5863,1243?

The HCF of 5863,1243 is 11

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 5863/687, 1243/3901?

Answer: GCF of Numerators as per given numbers 5863/687, 1243/3901 is

GCF of Numerators i.e. for 5863,1243 is 11

LCM of denominators i.e. for 687,3901 is 2679987.

Thus, GCF of Fractions is 11/2679987.Finally, GCF of Fractions for 5863/687, 1243/3901 is 11/2679987.