Greatest Common Factor of 3683/69, 7961/963

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3683/69, 7961/963

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 3683/69,7961/963

Given fractions are 3683/69,7961/963

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 3683,7961

Greatest Common Factor of Numerators i.e. GCF of 3683,7961 is 1 .

LCM of Denominators means LCM of 69,963 as per the given fractions.

LCM of 69,963 is 22149 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3683,7961

GCF of Fractions 3683/69,7961/963 is 1/22149

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

Greatest Common Factor of 3683,7961 By Matching Biggest Common Factor Method

Greatest Common Factor of 3683,7961 By Matching Biggest Common Factor Method

Factors of 3683

List of positive integer factors of 3683 that divides 3683 without a remainder.

1,29,127,3683

Factors of 7961

List of positive integer factors of 7961 that divides 7961 without a remainder.

1,19,419,7961

Greatest Common Factor

We found the factors 3683,7961 . The biggest common factor number is the GCF number.
So the greatest common factor 3683,7961 is 1.

Lets's calculate LCM of 69,963

3 69, 963
23, 321

∴ So the LCM of the given numbers is 3 x 23 x 321 = 22149

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22149

Therefore, the GCF of Fractions 3683/69,7961/963 is 1/22149

Least Common Multiple of 69,963 with GCF Formula

Least Common Multiple of 69,963 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 69,963 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,963) = 3

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

GCF(69,963) x common factors =3 x 1 = 3

LCM(69,963) = ( 69 × 963 ) / 3

LCM(69,963) = 66447 / 3

LCM(69,963) = 22149


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 3683/69, 7961/963

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 3683/69, 7961/963?

Answer: GCF of Numerators as per given numbers 3683/69, 7961/963 is

GCF of Numerators i.e. for 3683,7961 is 1

LCM of denominators i.e. for 69,963 is 22149.

Thus, GCF of Fractions is 1/22149.Finally, GCF of Fractions for 3683/69, 7961/963 is 1/22149.