Greatest Common Factor of 720/10, 401/48, 279/688

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 720/10, 401/48, 279/688

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 720/10,401/48,279/688

Given fractions are 720/10,401/48,279/688

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 720,401,279

Greatest Common Factor of Numerators i.e. GCF of 720,401,279 is 1 .

LCM of Denominators means LCM of 10,48,688 as per the given fractions.

LCM of 10,48,688 is 10320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 720,401,279

GCF of Fractions 720/10,401/48,279/688 is 1/10320

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

Greatest Common Factor of 720,401,279 By Matching Biggest Common Factor Method

Greatest Common Factor of 720,401,279 By Matching Biggest Common Factor Method

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 401

List of positive integer factors of 401 that divides 401 without a remainder.

1,401

Factors of 279

List of positive integer factors of 279 that divides 279 without a remainder.

1,3,9,31,93,279

Greatest Common Factor

We found the factors 720,401,279 . The biggest common factor number is the GCF number.
So the greatest common factor 720,401,279 is 1.

Lets's calculate LCM of 10,48,688

2 10, 48, 688
2 5, 24, 344
2 5, 12, 172
2 5, 6, 86
5, 3, 43

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 5 x 3 x 43 = 10320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10320

Therefore, the GCF of Fractions 720/10,401/48,279/688 is 1/10320

Least Common Multiple of 10,48,688 with GCF Formula

Least Common Multiple of 10,48,688 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 10,48,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,48,688) = 2

common factors(in case of two or more numbers have common factors) = 16

GCF(10,48,688) x common factors =2 x 16 = 32

LCM(10,48,688) = ( 10 × 48 × 688 ) / 32

LCM(10,48,688) = 330240 / 32

LCM(10,48,688) = 10320


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 720/10, 401/48, 279/688

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 720/10, 401/48, 279/688?

Answer: GCF of Numerators as per given numbers 720/10, 401/48, 279/688 is

GCF of Numerators i.e. for 720,401,279 is 1

LCM of denominators i.e. for 10,48,688 is 10320.

Thus, GCF of Fractions is 1/10320.Finally, GCF of Fractions for 720/10, 401/48, 279/688 is 1/10320.