Greatest Common Factor of 720/505, 8128/523

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 720/505, 8128/523

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 720/505,8128/523

Given fractions are 720/505,8128/523

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 720,8128

Greatest Common Factor of Numerators i.e. GCF of 720,8128 is 16 .

LCM of Denominators means LCM of 505,523 as per the given fractions.

LCM of 505,523 is 264115 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 720,8128

GCF of Fractions 720/505,8128/523 is 16/264115

2 720, 8128
2 360, 4064
2 180, 2032
2 90, 1016
45, 508

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

Greatest Common Factor of 720,8128 By Matching Biggest Common Factor Method

Greatest Common Factor of 720,8128 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 8128

List of positive integer factors of 8128 that divides 8128 without a remainder.

1,2,4,8,16,32,64,127,254,508,1016,2032,4064,8128

Greatest Common Factor

We found the factors 720,8128 . The biggest common factor number is the GCF number.
So the greatest common factor 720,8128 is 16.

Lets's calculate LCM of 505,523

Given numbers has no common factors except 1. So, there LCM is their product i.e 264115

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/264115

Therefore, the GCF of Fractions 720/505,8128/523 is 16/264115

Least Common Multiple of 505,523 with GCF Formula

Least Common Multiple of 505,523 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 505,523 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(505,523) = 1

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

GCF(505,523) x common factors =1 x 1 = 1

LCM(505,523) = ( 505 × 523 ) / 1

LCM(505,523) = 264115 / 1

LCM(505,523) = 264115


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 720/505, 8128/523

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 720/505, 8128/523?

Answer: GCF of Numerators as per given numbers 720/505, 8128/523 is

GCF of Numerators i.e. for 720,8128 is 16

LCM of denominators i.e. for 505,523 is 264115.

Thus, GCF of Fractions is 16/264115.Finally, GCF of Fractions for 720/505, 8128/523 is 16/264115.