Greatest Common Factor of 241/420, 319/718, 586/538

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 241/420, 319/718, 586/538

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 241/420,319/718,586/538

Given fractions are 241/420,319/718,586/538

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 241,319,586

Greatest Common Factor of Numerators i.e. GCF of 241,319,586 is 1 .

LCM of Denominators means LCM of 420,718,538 as per the given fractions.

LCM of 420,718,538 is 40559820 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 241,319,586

GCF of Fractions 241/420,319/718,586/538 is 1/40559820

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

Greatest Common Factor of 241,319,586 By Matching Biggest Common Factor Method

Greatest Common Factor of 241,319,586 By Matching Biggest Common Factor Method

Factors of 241

List of positive integer factors of 241 that divides 241 without a remainder.

1,241

Factors of 319

List of positive integer factors of 319 that divides 319 without a remainder.

1,11,29,319

Factors of 586

List of positive integer factors of 586 that divides 586 without a remainder.

1,2,293,586

Greatest Common Factor

We found the factors 241,319,586 . The biggest common factor number is the GCF number.
So the greatest common factor 241,319,586 is 1.

Lets's calculate LCM of 420,718,538

2 420, 718, 538
210, 359, 269

∴ So the LCM of the given numbers is 2 x 210 x 359 x 269 = 40559820

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40559820

Therefore, the GCF of Fractions 241/420,319/718,586/538 is 1/40559820

Least Common Multiple of 420,718,538 with GCF Formula

Least Common Multiple of 420,718,538 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 420,718,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(420,718,538) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(420,718,538) x common factors =2 x 2 = 4

LCM(420,718,538) = ( 420 × 718 × 538 ) / 4

LCM(420,718,538) = 162239280 / 4

LCM(420,718,538) = 40559820


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 241/420, 319/718, 586/538

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 241/420, 319/718, 586/538?

Answer: GCF of Numerators as per given numbers 241/420, 319/718, 586/538 is

GCF of Numerators i.e. for 241,319,586 is 1

LCM of denominators i.e. for 420,718,538 is 40559820.

Thus, GCF of Fractions is 1/40559820.Finally, GCF of Fractions for 241/420, 319/718, 586/538 is 1/40559820.