Greatest Common Factor of 3686/402, 7270/2705

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3686/402, 7270/2705

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 3686/402,7270/2705

Given fractions are 3686/402,7270/2705

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 3686,7270

Greatest Common Factor of Numerators i.e. GCF of 3686,7270 is 2 .

LCM of Denominators means LCM of 402,2705 as per the given fractions.

LCM of 402,2705 is 1087410 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3686,7270

GCF of Fractions 3686/402,7270/2705 is 2/1087410

2 3686, 7270
1843, 3635

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 3686,7270 By Matching Biggest Common Factor Method

Greatest Common Factor of 3686,7270 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 7270

List of positive integer factors of 7270 that divides 7270 without a remainder.

1,2,5,10,727,1454,3635,7270

Greatest Common Factor

We found the factors 3686,7270 . The biggest common factor number is the GCF number.
So the greatest common factor 3686,7270 is 2.

Lets's calculate LCM of 402,2705

Given numbers has no common factors except 1. So, there LCM is their product i.e 1087410

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1087410

Therefore, the GCF of Fractions 3686/402,7270/2705 is 2/1087410

Least Common Multiple of 402,2705 with GCF Formula

Least Common Multiple of 402,2705 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 402,2705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(402,2705) = 1

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

GCF(402,2705) x common factors =1 x 1 = 1

LCM(402,2705) = ( 402 × 2705 ) / 1

LCM(402,2705) = 1087410 / 1

LCM(402,2705) = 1087410


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 3686/402, 7270/2705

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 3686/402, 7270/2705?

Answer: GCF of Numerators as per given numbers 3686/402, 7270/2705 is

GCF of Numerators i.e. for 3686,7270 is 2

LCM of denominators i.e. for 402,2705 is 1087410.

Thus, GCF of Fractions is 2/1087410.Finally, GCF of Fractions for 3686/402, 7270/2705 is 2/1087410.