Greatest Common Factor of 26/496, 199/186, 663/441

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 26/496, 199/186, 663/441

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 26/496,199/186,663/441

Given fractions are 26/496,199/186,663/441

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 26,199,663

Greatest Common Factor of Numerators i.e. GCF of 26,199,663 is 1 .

LCM of Denominators means LCM of 496,186,441 as per the given fractions.

LCM of 496,186,441 is 218736 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 26,199,663

GCF of Fractions 26/496,199/186,663/441 is 1/218736

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

Greatest Common Factor of 26,199,663 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,199,663 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 199

List of positive integer factors of 199 that divides 199 without a remainder.

1,199

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Greatest Common Factor

We found the factors 26,199,663 . The biggest common factor number is the GCF number.
So the greatest common factor 26,199,663 is 1.

Lets's calculate LCM of 496,186,441

2 496, 186, 441
3 248, 93, 441
31 248, 31, 147
8, 1, 147

∴ So the LCM of the given numbers is 2 x 3 x 31 x 8 x 1 x 147 = 218736

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/218736

Therefore, the GCF of Fractions 26/496,199/186,663/441 is 1/218736

Least Common Multiple of 496,186,441 with GCF Formula

Least Common Multiple of 496,186,441 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 496,186,441 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(496,186,441) = 1

common factors(in case of two or more numbers have common factors) = 186

GCF(496,186,441) x common factors =1 x 186 = 186

LCM(496,186,441) = ( 496 × 186 × 441 ) / 186

LCM(496,186,441) = 40684896 / 186

LCM(496,186,441) = 218736


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 26/496, 199/186, 663/441

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 26/496, 199/186, 663/441?

Answer: GCF of Numerators as per given numbers 26/496, 199/186, 663/441 is

GCF of Numerators i.e. for 26,199,663 is 1

LCM of denominators i.e. for 496,186,441 is 218736.

Thus, GCF of Fractions is 1/218736.Finally, GCF of Fractions for 26/496, 199/186, 663/441 is 1/218736.