Greatest Common Factor of 28/46, 153/95, 443/505

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 28/46, 153/95, 443/505

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 28/46,153/95,443/505

Given fractions are 28/46,153/95,443/505

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 28,153,443

Greatest Common Factor of Numerators i.e. GCF of 28,153,443 is 1 .

LCM of Denominators means LCM of 46,95,505 as per the given fractions.

LCM of 46,95,505 is 441370 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 28,153,443

GCF of Fractions 28/46,153/95,443/505 is 1/441370

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

Greatest Common Factor of 28,153,443 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,153,443 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 153

List of positive integer factors of 153 that divides 153 without a remainder.

1,3,9,17,51,153

Factors of 443

List of positive integer factors of 443 that divides 443 without a remainder.

1,443

Greatest Common Factor

We found the factors 28,153,443 . The biggest common factor number is the GCF number.
So the greatest common factor 28,153,443 is 1.

Lets's calculate LCM of 46,95,505

5 46, 95, 505
46, 19, 101

∴ So the LCM of the given numbers is 5 x 46 x 19 x 101 = 441370

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/441370

Therefore, the GCF of Fractions 28/46,153/95,443/505 is 1/441370

Least Common Multiple of 46,95,505 with GCF Formula

Least Common Multiple of 46,95,505 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 46,95,505 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,95,505) = 1

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

GCF(46,95,505) x common factors =1 x 5 = 5

LCM(46,95,505) = ( 46 × 95 × 505 ) / 5

LCM(46,95,505) = 2206850 / 5

LCM(46,95,505) = 441370


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 28/46, 153/95, 443/505

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 28/46, 153/95, 443/505?

Answer: GCF of Numerators as per given numbers 28/46, 153/95, 443/505 is

GCF of Numerators i.e. for 28,153,443 is 1

LCM of denominators i.e. for 46,95,505 is 441370.

Thus, GCF of Fractions is 1/441370.Finally, GCF of Fractions for 28/46, 153/95, 443/505 is 1/441370.