Greatest Common Factor of 3686/395, 8477/766

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3686/395, 8477/766

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 3686/395,8477/766

Given fractions are 3686/395,8477/766

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 3686,8477

Greatest Common Factor of Numerators i.e. GCF of 3686,8477 is 1 .

LCM of Denominators means LCM of 395,766 as per the given fractions.

LCM of 395,766 is 302570 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3686,8477

GCF of Fractions 3686/395,8477/766 is 1/302570

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

Greatest Common Factor of 3686,8477 By Matching Biggest Common Factor Method

Greatest Common Factor of 3686,8477 By Matching Biggest Common Factor Method

Factors of 3686

List of positive integer factors of 3686 that divides 3686 without a remainder.

1,2,19,38,97,194,1843,3686

Factors of 8477

List of positive integer factors of 8477 that divides 8477 without a remainder.

1,7,49,173,1211,8477

Greatest Common Factor

We found the factors 3686,8477 . The biggest common factor number is the GCF number.
So the greatest common factor 3686,8477 is 1.

Lets's calculate LCM of 395,766

Given numbers has no common factors except 1. So, there LCM is their product i.e 302570

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/302570

Therefore, the GCF of Fractions 3686/395,8477/766 is 1/302570

Least Common Multiple of 395,766 with GCF Formula

Least Common Multiple of 395,766 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 395,766 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(395,766) = 1

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

GCF(395,766) x common factors =1 x 1 = 1

LCM(395,766) = ( 395 × 766 ) / 1

LCM(395,766) = 302570 / 1

LCM(395,766) = 302570


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 3686/395, 8477/766

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 3686/395, 8477/766?

Answer: GCF of Numerators as per given numbers 3686/395, 8477/766 is

GCF of Numerators i.e. for 3686,8477 is 1

LCM of denominators i.e. for 395,766 is 302570.

Thus, GCF of Fractions is 1/302570.Finally, GCF of Fractions for 3686/395, 8477/766 is 1/302570.