Greatest Common Factor of 14/508, 577/517

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 14/508, 577/517

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 14/508,577/517

Given fractions are 14/508,577/517

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 14,577

Greatest Common Factor of Numerators i.e. GCF of 14,577 is 1 .

LCM of Denominators means LCM of 508,517 as per the given fractions.

LCM of 508,517 is 262636 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 14,577

GCF of Fractions 14/508,577/517 is 1/262636

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

Greatest Common Factor of 14,577 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,577 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 577

List of positive integer factors of 577 that divides 577 without a remainder.

1,577

Greatest Common Factor

We found the factors 14,577 . The biggest common factor number is the GCF number.
So the greatest common factor 14,577 is 1.

Lets's calculate LCM of 508,517

Given numbers has no common factors except 1. So, there LCM is their product i.e 262636

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/262636

Therefore, the GCF of Fractions 14/508,577/517 is 1/262636

Least Common Multiple of 508,517 with GCF Formula

Least Common Multiple of 508,517 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 508,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(508,517) = 1

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

GCF(508,517) x common factors =1 x 1 = 1

LCM(508,517) = ( 508 × 517 ) / 1

LCM(508,517) = 262636 / 1

LCM(508,517) = 262636


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 14/508, 577/517

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 14/508, 577/517?

Answer: GCF of Numerators as per given numbers 14/508, 577/517 is

GCF of Numerators i.e. for 14,577 is 1

LCM of denominators i.e. for 508,517 is 262636.

Thus, GCF of Fractions is 1/262636.Finally, GCF of Fractions for 14/508, 577/517 is 1/262636.