Greatest Common Factor of 64/899, 96/148, 396/401

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 64/899, 96/148, 396/401

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 64/899,96/148,396/401

Given fractions are 64/899,96/148,396/401

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 64,96,396

Greatest Common Factor of Numerators i.e. GCF of 64,96,396 is 4 .

LCM of Denominators means LCM of 899,148,401 as per the given fractions.

LCM of 899,148,401 is 53353852 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 64,96,396

GCF of Fractions 64/899,96/148,396/401 is 4/53353852

2 64, 96, 396
2 32, 48, 198
16, 24, 99

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 64,96,396 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,96,396 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Greatest Common Factor

We found the factors 64,96,396 . The biggest common factor number is the GCF number.
So the greatest common factor 64,96,396 is 4.


Lets's calculate LCM of 899,148,401

Given numbers has no common factors except 1. So, there LCM is their product i.e 53353852

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/53353852

Therefore, the GCF of Fractions 64/899,96/148,396/401 is 4/53353852

Least Common Multiple of 899,148,401 with GCF Formula

Least Common Multiple of 899,148,401 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 899,148,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(899,148,401) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(899,148,401) x common factors =1 x 1 = 1

LCM(899,148,401) = ( 899 × 148 × 401 ) / 1

LCM(899,148,401) = 53353852 / 1

LCM(899,148,401) = 53353852


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 64/899, 96/148, 396/401

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 64/899, 96/148, 396/401?

Answer: GCF of Numerators as per given numbers 64/899, 96/148, 396/401 is

GCF of Numerators i.e. for 64,96,396 is 4

LCM of denominators i.e. for 899,148,401 is 53353852.

Thus, GCF of Fractions is 4/53353852.Finally, GCF of Fractions for 64/899, 96/148, 396/401 is 4/53353852.