Greatest Common Factor of 7946/13, 3706/527

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7946/13, 3706/527

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 7946/13,3706/527

Given fractions are 7946/13,3706/527

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 7946,3706

Greatest Common Factor of Numerators i.e. GCF of 7946,3706 is 2 .

LCM of Denominators means LCM of 13,527 as per the given fractions.

LCM of 13,527 is 6851 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7946,3706

GCF of Fractions 7946/13,3706/527 is 2/6851

2 7946, 3706
3973, 1853

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

Greatest Common Factor of 7946,3706 By Matching Biggest Common Factor Method

Greatest Common Factor of 7946,3706 By Matching Biggest Common Factor Method

Factors of 7946

List of positive integer factors of 7946 that divides 7946 without a remainder.

1,2,29,58,137,274,3973,7946

Factors of 3706

List of positive integer factors of 3706 that divides 3706 without a remainder.

1,2,17,34,109,218,1853,3706

Greatest Common Factor

We found the factors 7946,3706 . The biggest common factor number is the GCF number.
So the greatest common factor 7946,3706 is 2.

Lets's calculate LCM of 13,527

Given numbers has no common factors except 1. So, there LCM is their product i.e 6851

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6851

Therefore, the GCF of Fractions 7946/13,3706/527 is 2/6851

Least Common Multiple of 13,527 with GCF Formula

Least Common Multiple of 13,527 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 13,527 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,527) = 1

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

GCF(13,527) x common factors =1 x 1 = 1

LCM(13,527) = ( 13 × 527 ) / 1

LCM(13,527) = 6851 / 1

LCM(13,527) = 6851


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 7946/13, 3706/527

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 7946/13, 3706/527?

Answer: GCF of Numerators as per given numbers 7946/13, 3706/527 is

GCF of Numerators i.e. for 7946,3706 is 2

LCM of denominators i.e. for 13,527 is 6851.

Thus, GCF of Fractions is 2/6851.Finally, GCF of Fractions for 7946/13, 3706/527 is 2/6851.