Greatest Common Factor of 8064/768, 8080/9929

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8064/768, 8080/9929

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 8064/768,8080/9929

Given fractions are 8064/768,8080/9929

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 8064,8080

Greatest Common Factor of Numerators i.e. GCF of 8064,8080 is 16 .

LCM of Denominators means LCM of 768,9929 as per the given fractions.

LCM of 768,9929 is 7625472 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8064,8080

GCF of Fractions 8064/768,8080/9929 is 16/7625472

2 8064, 8080
2 4032, 4040
2 2016, 2020
2 1008, 1010
504, 505

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

Greatest Common Factor of 8064,8080 By Matching Biggest Common Factor Method

Greatest Common Factor of 8064,8080 By Matching Biggest Common Factor Method

Factors of 8064

List of positive integer factors of 8064 that divides 8064 without a remainder.

1,2,3,4,6,7,8,9,12,14,16,18,21,24,28,32,36,42,48,56,63,64,72,84,96,112,126,128,144,168,192,224,252,288,336,384,448,504,576,672,896,1008,1152,1344,2016,2688,4032,8064

Factors of 8080

List of positive integer factors of 8080 that divides 8080 without a remainder.

1,2,4,5,8,10,16,20,40,80,101,202,404,505,808,1010,1616,2020,4040,8080

Greatest Common Factor

We found the factors 8064,8080 . The biggest common factor number is the GCF number.
So the greatest common factor 8064,8080 is 16.

Lets's calculate LCM of 768,9929

Given numbers has no common factors except 1. So, there LCM is their product i.e 7625472

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/7625472

Therefore, the GCF of Fractions 8064/768,8080/9929 is 16/7625472

Least Common Multiple of 768,9929 with GCF Formula

Least Common Multiple of 768,9929 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 768,9929 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(768,9929) = 1

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

GCF(768,9929) x common factors =1 x 1 = 1

LCM(768,9929) = ( 768 × 9929 ) / 1

LCM(768,9929) = 7625472 / 1

LCM(768,9929) = 7625472


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 8064/768, 8080/9929

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 8064/768, 8080/9929?

Answer: GCF of Numerators as per given numbers 8064/768, 8080/9929 is

GCF of Numerators i.e. for 8064,8080 is 16

LCM of denominators i.e. for 768,9929 is 7625472.

Thus, GCF of Fractions is 16/7625472.Finally, GCF of Fractions for 8064/768, 8080/9929 is 16/7625472.