Greatest Common Factor of 3917/501, 8241/1712

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3917/501, 8241/1712

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 3917/501,8241/1712

Given fractions are 3917/501,8241/1712

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 3917,8241

Greatest Common Factor of Numerators i.e. GCF of 3917,8241 is 1 .

LCM of Denominators means LCM of 501,1712 as per the given fractions.

LCM of 501,1712 is 857712 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3917,8241

GCF of Fractions 3917/501,8241/1712 is 1/857712

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

Greatest Common Factor of 3917,8241 By Matching Biggest Common Factor Method

Greatest Common Factor of 3917,8241 By Matching Biggest Common Factor Method

Factors of 3917

List of positive integer factors of 3917 that divides 3917 without a remainder.

1,3917

Factors of 8241

List of positive integer factors of 8241 that divides 8241 without a remainder.

1,3,41,67,123,201,2747,8241

Greatest Common Factor

We found the factors 3917,8241 . The biggest common factor number is the GCF number.
So the greatest common factor 3917,8241 is 1.

Lets's calculate LCM of 501,1712

Given numbers has no common factors except 1. So, there LCM is their product i.e 857712

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/857712

Therefore, the GCF of Fractions 3917/501,8241/1712 is 1/857712

Least Common Multiple of 501,1712 with GCF Formula

Least Common Multiple of 501,1712 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 501,1712 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(501,1712) = 1

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

GCF(501,1712) x common factors =1 x 1 = 1

LCM(501,1712) = ( 501 × 1712 ) / 1

LCM(501,1712) = 857712 / 1

LCM(501,1712) = 857712


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 3917/501, 8241/1712

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 3917/501, 8241/1712?

Answer: GCF of Numerators as per given numbers 3917/501, 8241/1712 is

GCF of Numerators i.e. for 3917,8241 is 1

LCM of denominators i.e. for 501,1712 is 857712.

Thus, GCF of Fractions is 1/857712.Finally, GCF of Fractions for 3917/501, 8241/1712 is 1/857712.