Greatest Common Factor of 3815/685, 6605/354

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3815/685, 6605/354

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 3815/685,6605/354

Given fractions are 3815/685,6605/354

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 3815,6605

Greatest Common Factor of Numerators i.e. GCF of 3815,6605 is 5 .

LCM of Denominators means LCM of 685,354 as per the given fractions.

LCM of 685,354 is 242490 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3815,6605

GCF of Fractions 3815/685,6605/354 is 5/242490

5 3815, 6605
763, 1321

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

Greatest Common Factor of 3815,6605 By Matching Biggest Common Factor Method

Greatest Common Factor of 3815,6605 By Matching Biggest Common Factor Method

Factors of 3815

List of positive integer factors of 3815 that divides 3815 without a remainder.

1,5,7,35,109,545,763,3815

Factors of 6605

List of positive integer factors of 6605 that divides 6605 without a remainder.

1,5,1321,6605

Greatest Common Factor

We found the factors 3815,6605 . The biggest common factor number is the GCF number.
So the greatest common factor 3815,6605 is 5.

Lets's calculate LCM of 685,354

Given numbers has no common factors except 1. So, there LCM is their product i.e 242490

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/242490

Therefore, the GCF of Fractions 3815/685,6605/354 is 5/242490

Least Common Multiple of 685,354 with GCF Formula

Least Common Multiple of 685,354 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 685,354 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(685,354) = 1

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

GCF(685,354) x common factors =1 x 1 = 1

LCM(685,354) = ( 685 × 354 ) / 1

LCM(685,354) = 242490 / 1

LCM(685,354) = 242490


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 3815/685, 6605/354

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 3815/685, 6605/354?

Answer: GCF of Numerators as per given numbers 3815/685, 6605/354 is

GCF of Numerators i.e. for 3815,6605 is 5

LCM of denominators i.e. for 685,354 is 242490.

Thus, GCF of Fractions is 5/242490.Finally, GCF of Fractions for 3815/685, 6605/354 is 5/242490.