Greatest Common Factor of 727/96, 446/99, 888/420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 727/96, 446/99, 888/420

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 727/96,446/99,888/420

Given fractions are 727/96,446/99,888/420

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 727,446,888

Greatest Common Factor of Numerators i.e. GCF of 727,446,888 is 1 .

LCM of Denominators means LCM of 96,99,420 as per the given fractions.

LCM of 96,99,420 is 110880 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 727,446,888

GCF of Fractions 727/96,446/99,888/420 is 1/110880

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

Greatest Common Factor of 727,446,888 By Matching Biggest Common Factor Method

Greatest Common Factor of 727,446,888 By Matching Biggest Common Factor Method

Factors of 727

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

1,727

Factors of 446

List of positive integer factors of 446 that divides 446 without a remainder.

1,2,223,446

Factors of 888

List of positive integer factors of 888 that divides 888 without a remainder.

1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888

Greatest Common Factor

We found the factors 727,446,888 . The biggest common factor number is the GCF number.
So the greatest common factor 727,446,888 is 1.

Lets's calculate LCM of 96,99,420

2 96, 99, 420
2 48, 99, 210
3 24, 99, 105
8, 33, 35

∴ So the LCM of the given numbers is 2 x 2 x 3 x 8 x 33 x 35 = 110880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/110880

Therefore, the GCF of Fractions 727/96,446/99,888/420 is 1/110880

Least Common Multiple of 96,99,420 with GCF Formula

Least Common Multiple of 96,99,420 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 96,99,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,99,420) = 3

common factors(in case of two or more numbers have common factors) = 12

GCF(96,99,420) x common factors =3 x 12 = 36

LCM(96,99,420) = ( 96 × 99 × 420 ) / 36

LCM(96,99,420) = 3991680 / 36

LCM(96,99,420) = 110880


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 727/96, 446/99, 888/420

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 727/96, 446/99, 888/420?

Answer: GCF of Numerators as per given numbers 727/96, 446/99, 888/420 is

GCF of Numerators i.e. for 727,446,888 is 1

LCM of denominators i.e. for 96,99,420 is 110880.

Thus, GCF of Fractions is 1/110880.Finally, GCF of Fractions for 727/96, 446/99, 888/420 is 1/110880.