Greatest Common Factor of 608/393, 720/968, 800/361

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 608/393, 720/968, 800/361

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 608/393,720/968,800/361

Given fractions are 608/393,720/968,800/361

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 608,720,800

Greatest Common Factor of Numerators i.e. GCF of 608,720,800 is 16 .

LCM of Denominators means LCM of 393,968,361 as per the given fractions.

LCM of 393,968,361 is 137333064 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 608,720,800

GCF of Fractions 608/393,720/968,800/361 is 16/137333064

2 608, 720, 800
2 304, 360, 400
2 152, 180, 200
2 76, 90, 100
38, 45, 50

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 608,720,800 By Matching Biggest Common Factor Method

Greatest Common Factor of 608,720,800 By Matching Biggest Common Factor Method

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Factors of 800

List of positive integer factors of 800 that divides 800 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800

Greatest Common Factor

We found the factors 608,720,800 . The biggest common factor number is the GCF number.
So the greatest common factor 608,720,800 is 16.

Lets's calculate LCM of 393,968,361

Given numbers has no common factors except 1. So, there LCM is their product i.e 137333064

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/137333064

Therefore, the GCF of Fractions 608/393,720/968,800/361 is 16/137333064

Least Common Multiple of 393,968,361 with GCF Formula

Least Common Multiple of 393,968,361 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 393,968,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(393,968,361) = 1

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

GCF(393,968,361) x common factors =1 x 1 = 1

LCM(393,968,361) = ( 393 × 968 × 361 ) / 1

LCM(393,968,361) = 137333064 / 1

LCM(393,968,361) = 137333064


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 608/393, 720/968, 800/361

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 608/393, 720/968, 800/361?

Answer: GCF of Numerators as per given numbers 608/393, 720/968, 800/361 is

GCF of Numerators i.e. for 608,720,800 is 16

LCM of denominators i.e. for 393,968,361 is 137333064.

Thus, GCF of Fractions is 16/137333064.Finally, GCF of Fractions for 608/393, 720/968, 800/361 is 16/137333064.