Greatest Common Factor of 3881/78, 4238/978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3881/78, 4238/978

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 3881/78,4238/978

Given fractions are 3881/78,4238/978

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 3881,4238

Greatest Common Factor of Numerators i.e. GCF of 3881,4238 is 1 .

LCM of Denominators means LCM of 78,978 as per the given fractions.

LCM of 78,978 is 12714 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3881,4238

GCF of Fractions 3881/78,4238/978 is 1/12714

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

Greatest Common Factor of 3881,4238 By Matching Biggest Common Factor Method

Greatest Common Factor of 3881,4238 By Matching Biggest Common Factor Method

Factors of 3881

List of positive integer factors of 3881 that divides 3881 without a remainder.

1,3881

Factors of 4238

List of positive integer factors of 4238 that divides 4238 without a remainder.

1,2,13,26,163,326,2119,4238

Greatest Common Factor

We found the factors 3881,4238 . The biggest common factor number is the GCF number.
So the greatest common factor 3881,4238 is 1.

Lets's calculate LCM of 78,978

2 78, 978
3 39, 489
13, 163

∴ So the LCM of the given numbers is 2 x 3 x 13 x 163 = 12714

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12714

Therefore, the GCF of Fractions 3881/78,4238/978 is 1/12714

Least Common Multiple of 78,978 with GCF Formula

Least Common Multiple of 78,978 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 78,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,978) = 6

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

GCF(78,978) x common factors =6 x 1 = 6

LCM(78,978) = ( 78 × 978 ) / 6

LCM(78,978) = 76284 / 6

LCM(78,978) = 12714


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 3881/78, 4238/978

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 3881/78, 4238/978?

Answer: GCF of Numerators as per given numbers 3881/78, 4238/978 is

GCF of Numerators i.e. for 3881,4238 is 1

LCM of denominators i.e. for 78,978 is 12714.

Thus, GCF of Fractions is 1/12714.Finally, GCF of Fractions for 3881/78, 4238/978 is 1/12714.