Greatest Common Factor of 461/15, 728/55, 837/242

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 461/15, 728/55, 837/242

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 461/15,728/55,837/242

Given fractions are 461/15,728/55,837/242

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 461,728,837

Greatest Common Factor of Numerators i.e. GCF of 461,728,837 is 1 .

LCM of Denominators means LCM of 15,55,242 as per the given fractions.

LCM of 15,55,242 is 3630 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 461,728,837

GCF of Fractions 461/15,728/55,837/242 is 1/3630

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

Greatest Common Factor of 461,728,837 By Matching Biggest Common Factor Method

Greatest Common Factor of 461,728,837 By Matching Biggest Common Factor Method

Factors of 461

List of positive integer factors of 461 that divides 461 without a remainder.

1,461

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Factors of 837

List of positive integer factors of 837 that divides 837 without a remainder.

1,3,9,27,31,93,279,837

Greatest Common Factor

We found the factors 461,728,837 . The biggest common factor number is the GCF number.
So the greatest common factor 461,728,837 is 1.

Lets's calculate LCM of 15,55,242

5 15, 55, 242
11 3, 11, 242
3, 1, 22

∴ So the LCM of the given numbers is 5 x 11 x 3 x 1 x 22 = 3630

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3630

Therefore, the GCF of Fractions 461/15,728/55,837/242 is 1/3630

Least Common Multiple of 15,55,242 with GCF Formula

Least Common Multiple of 15,55,242 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 15,55,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,55,242) = 1

common factors(in case of two or more numbers have common factors) = 55

GCF(15,55,242) x common factors =1 x 55 = 55

LCM(15,55,242) = ( 15 × 55 × 242 ) / 55

LCM(15,55,242) = 199650 / 55

LCM(15,55,242) = 3630


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 461/15, 728/55, 837/242

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 461/15, 728/55, 837/242?

Answer: GCF of Numerators as per given numbers 461/15, 728/55, 837/242 is

GCF of Numerators i.e. for 461,728,837 is 1

LCM of denominators i.e. for 15,55,242 is 3630.

Thus, GCF of Fractions is 1/3630.Finally, GCF of Fractions for 461/15, 728/55, 837/242 is 1/3630.