Greatest Common Factor of 827/308, 669/517

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 827/308, 669/517

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 827/308,669/517

Given fractions are 827/308,669/517

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 827,669

Greatest Common Factor of Numerators i.e. GCF of 827,669 is 1 .

LCM of Denominators means LCM of 308,517 as per the given fractions.

LCM of 308,517 is 14476 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 827,669

GCF of Fractions 827/308,669/517 is 1/14476

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

Greatest Common Factor of 827,669 By Matching Biggest Common Factor Method

Greatest Common Factor of 827,669 By Matching Biggest Common Factor Method

Factors of 827

List of positive integer factors of 827 that divides 827 without a remainder.

1,827

Factors of 669

List of positive integer factors of 669 that divides 669 without a remainder.

1,3,223,669

Greatest Common Factor

We found the factors 827,669 . The biggest common factor number is the GCF number.
So the greatest common factor 827,669 is 1.

Lets's calculate LCM of 308,517

11 308, 517
28, 47

∴ So the LCM of the given numbers is 11 x 28 x 47 = 14476

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14476

Therefore, the GCF of Fractions 827/308,669/517 is 1/14476

Least Common Multiple of 308,517 with GCF Formula

Least Common Multiple of 308,517 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 308,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(308,517) = 11

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

GCF(308,517) x common factors =11 x 1 = 11

LCM(308,517) = ( 308 × 517 ) / 11

LCM(308,517) = 159236 / 11

LCM(308,517) = 14476


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 827/308, 669/517

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 827/308, 669/517?

Answer: GCF of Numerators as per given numbers 827/308, 669/517 is

GCF of Numerators i.e. for 827,669 is 1

LCM of denominators i.e. for 308,517 is 14476.

Thus, GCF of Fractions is 1/14476.Finally, GCF of Fractions for 827/308, 669/517 is 1/14476.