Greatest Common Factor of 71/98, 73/26, 464/513

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 71/98, 73/26, 464/513

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 71/98,73/26,464/513

Given fractions are 71/98,73/26,464/513

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 71,73,464

Greatest Common Factor of Numerators i.e. GCF of 71,73,464 is 1 .

LCM of Denominators means LCM of 98,26,513 as per the given fractions.

LCM of 98,26,513 is 653562 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 71,73,464

GCF of Fractions 71/98,73/26,464/513 is 1/653562

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

Greatest Common Factor of 71,73,464 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,73,464 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Greatest Common Factor

We found the factors 71,73,464 . The biggest common factor number is the GCF number.
So the greatest common factor 71,73,464 is 1.

Lets's calculate LCM of 98,26,513

2 98, 26, 513
49, 13, 513

∴ So the LCM of the given numbers is 2 x 49 x 13 x 513 = 653562

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/653562

Therefore, the GCF of Fractions 71/98,73/26,464/513 is 1/653562

Least Common Multiple of 98,26,513 with GCF Formula

Least Common Multiple of 98,26,513 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 98,26,513 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,26,513) = 1

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

GCF(98,26,513) x common factors =1 x 2 = 2

LCM(98,26,513) = ( 98 × 26 × 513 ) / 2

LCM(98,26,513) = 1307124 / 2

LCM(98,26,513) = 653562


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 71/98, 73/26, 464/513

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 71/98, 73/26, 464/513?

Answer: GCF of Numerators as per given numbers 71/98, 73/26, 464/513 is

GCF of Numerators i.e. for 71,73,464 is 1

LCM of denominators i.e. for 98,26,513 is 653562.

Thus, GCF of Fractions is 1/653562.Finally, GCF of Fractions for 71/98, 73/26, 464/513 is 1/653562.