Greatest Common Factor of 9135/560, 8207/766

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9135/560, 8207/766

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 9135/560,8207/766

Given fractions are 9135/560,8207/766

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 9135,8207

Greatest Common Factor of Numerators i.e. GCF of 9135,8207 is 29 .

LCM of Denominators means LCM of 560,766 as per the given fractions.

LCM of 560,766 is 214480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9135,8207

GCF of Fractions 9135/560,8207/766 is 29/214480

29 9135, 8207
315, 283

∴ So the GCF of the given numbers is 29 = 29

Greatest Common Factor of 9135,8207 By Matching Biggest Common Factor Method

Greatest Common Factor of 9135,8207 By Matching Biggest Common Factor Method

Factors of 9135

List of positive integer factors of 9135 that divides 9135 without a remainder.

1,3,5,7,9,15,21,29,35,45,63,87,105,145,203,261,315,435,609,1015,1305,1827,3045,9135

Factors of 8207

List of positive integer factors of 8207 that divides 8207 without a remainder.

1,29,283,8207

Greatest Common Factor

We found the factors 9135,8207 . The biggest common factor number is the GCF number.
So the greatest common factor 9135,8207 is 29.

Lets's calculate LCM of 560,766

2 560, 766
280, 383

∴ So the LCM of the given numbers is 2 x 280 x 383 = 214480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/214480

Therefore, the GCF of Fractions 9135/560,8207/766 is 29/214480

Least Common Multiple of 560,766 with GCF Formula

Least Common Multiple of 560,766 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 560,766 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(560,766) = 2

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

GCF(560,766) x common factors =2 x 1 = 2

LCM(560,766) = ( 560 × 766 ) / 2

LCM(560,766) = 428960 / 2

LCM(560,766) = 214480


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 9135/560, 8207/766

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 9135/560, 8207/766?

Answer: GCF of Numerators as per given numbers 9135/560, 8207/766 is

GCF of Numerators i.e. for 9135,8207 is 29

LCM of denominators i.e. for 560,766 is 214480.

Thus, GCF of Fractions is 29/214480.Finally, GCF of Fractions for 9135/560, 8207/766 is 29/214480.