Greatest Common Factor of 8065/685, 3580/3266

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8065/685, 3580/3266

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 8065/685,3580/3266

Given fractions are 8065/685,3580/3266

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 8065,3580

Greatest Common Factor of Numerators i.e. GCF of 8065,3580 is 5 .

LCM of Denominators means LCM of 685,3266 as per the given fractions.

LCM of 685,3266 is 2237210 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8065,3580

GCF of Fractions 8065/685,3580/3266 is 5/2237210

5 8065, 3580
1613, 716

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 8065,3580 By Matching Biggest Common Factor Method

Greatest Common Factor of 8065,3580 By Matching Biggest Common Factor Method

Factors of 8065

List of positive integer factors of 8065 that divides 8065 without a remainder.

1,5,1613,8065

Factors of 3580

List of positive integer factors of 3580 that divides 3580 without a remainder.

1,2,4,5,10,20,179,358,716,895,1790,3580

Greatest Common Factor

We found the factors 8065,3580 . The biggest common factor number is the GCF number.
So the greatest common factor 8065,3580 is 5.

Lets's calculate LCM of 685,3266

Given numbers has no common factors except 1. So, there LCM is their product i.e 2237210

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2237210

Therefore, the GCF of Fractions 8065/685,3580/3266 is 5/2237210

Least Common Multiple of 685,3266 with GCF Formula

Least Common Multiple of 685,3266 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 685,3266 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(685,3266) = 1

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

GCF(685,3266) x common factors =1 x 1 = 1

LCM(685,3266) = ( 685 × 3266 ) / 1

LCM(685,3266) = 2237210 / 1

LCM(685,3266) = 2237210


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 8065/685, 3580/3266

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 8065/685, 3580/3266?

Answer: GCF of Numerators as per given numbers 8065/685, 3580/3266 is

GCF of Numerators i.e. for 8065,3580 is 5

LCM of denominators i.e. for 685,3266 is 2237210.

Thus, GCF of Fractions is 5/2237210.Finally, GCF of Fractions for 8065/685, 3580/3266 is 5/2237210.