Greatest Common Factor of 263/405, 727/556, 682/505

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 263/405, 727/556, 682/505

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 263/405,727/556,682/505

Given fractions are 263/405,727/556,682/505

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 263,727,682

Greatest Common Factor of Numerators i.e. GCF of 263,727,682 is 1 .

LCM of Denominators means LCM of 405,556,505 as per the given fractions.

LCM of 405,556,505 is 22743180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 263,727,682

GCF of Fractions 263/405,727/556,682/505 is 1/22743180

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

Greatest Common Factor of 263,727,682 By Matching Biggest Common Factor Method

Greatest Common Factor of 263,727,682 By Matching Biggest Common Factor Method

Factors of 263

List of positive integer factors of 263 that divides 263 without a remainder.

1,263

Factors of 727

List of positive integer factors of 727 that divides 727 without a remainder.

1,727

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Greatest Common Factor

We found the factors 263,727,682 . The biggest common factor number is the GCF number.
So the greatest common factor 263,727,682 is 1.

Lets's calculate LCM of 405,556,505

5 405, 556, 505
81, 556, 101

∴ So the LCM of the given numbers is 5 x 81 x 556 x 101 = 22743180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22743180

Therefore, the GCF of Fractions 263/405,727/556,682/505 is 1/22743180

Least Common Multiple of 405,556,505 with GCF Formula

Least Common Multiple of 405,556,505 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 405,556,505 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(405,556,505) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(405,556,505) x common factors =1 x 5 = 5

LCM(405,556,505) = ( 405 × 556 × 505 ) / 5

LCM(405,556,505) = 113715900 / 5

LCM(405,556,505) = 22743180


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 263/405, 727/556, 682/505

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 263/405, 727/556, 682/505?

Answer: GCF of Numerators as per given numbers 263/405, 727/556, 682/505 is

GCF of Numerators i.e. for 263,727,682 is 1

LCM of denominators i.e. for 405,556,505 is 22743180.

Thus, GCF of Fractions is 1/22743180.Finally, GCF of Fractions for 263/405, 727/556, 682/505 is 1/22743180.