Greatest Common Factor of 8608/80, 6783/535

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8608/80, 6783/535

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 8608/80,6783/535

Given fractions are 8608/80,6783/535

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 8608,6783

Greatest Common Factor of Numerators i.e. GCF of 8608,6783 is 1 .

LCM of Denominators means LCM of 80,535 as per the given fractions.

LCM of 80,535 is 8560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8608,6783

GCF of Fractions 8608/80,6783/535 is 1/8560

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

Greatest Common Factor of 8608,6783 By Matching Biggest Common Factor Method

Greatest Common Factor of 8608,6783 By Matching Biggest Common Factor Method

Factors of 8608

List of positive integer factors of 8608 that divides 8608 without a remainder.

1,2,4,8,16,32,269,538,1076,2152,4304,8608

Factors of 6783

List of positive integer factors of 6783 that divides 6783 without a remainder.

1,3,7,17,19,21,51,57,119,133,323,357,399,969,2261,6783

Greatest Common Factor

We found the factors 8608,6783 . The biggest common factor number is the GCF number.
So the greatest common factor 8608,6783 is 1.

Lets's calculate LCM of 80,535

5 80, 535
16, 107

∴ So the LCM of the given numbers is 5 x 16 x 107 = 8560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8560

Therefore, the GCF of Fractions 8608/80,6783/535 is 1/8560

Least Common Multiple of 80,535 with GCF Formula

Least Common Multiple of 80,535 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 80,535 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,535) = 5

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

GCF(80,535) x common factors =5 x 1 = 5

LCM(80,535) = ( 80 × 535 ) / 5

LCM(80,535) = 42800 / 5

LCM(80,535) = 8560


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 8608/80, 6783/535

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 8608/80, 6783/535?

Answer: GCF of Numerators as per given numbers 8608/80, 6783/535 is

GCF of Numerators i.e. for 8608,6783 is 1

LCM of denominators i.e. for 80,535 is 8560.

Thus, GCF of Fractions is 1/8560.Finally, GCF of Fractions for 8608/80, 6783/535 is 1/8560.