Greatest Common Factor of 366/78, 3981/350

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 366/78, 3981/350

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 366/78,3981/350

Given fractions are 366/78,3981/350

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 366,3981

Greatest Common Factor of Numerators i.e. GCF of 366,3981 is 3 .

LCM of Denominators means LCM of 78,350 as per the given fractions.

LCM of 78,350 is 13650 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 366,3981

GCF of Fractions 366/78,3981/350 is 3/13650

3 366, 3981
122, 1327

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 366,3981 By Matching Biggest Common Factor Method

Greatest Common Factor of 366,3981 By Matching Biggest Common Factor Method

Factors of 366

List of positive integer factors of 366 that divides 366 without a remainder.

1,2,3,6,61,122,183,366

Factors of 3981

List of positive integer factors of 3981 that divides 3981 without a remainder.

1,3,1327,3981

Greatest Common Factor

We found the factors 366,3981 . The biggest common factor number is the GCF number.
So the greatest common factor 366,3981 is 3.

Lets's calculate LCM of 78,350

2 78, 350
39, 175

∴ So the LCM of the given numbers is 2 x 39 x 175 = 13650

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/13650

Therefore, the GCF of Fractions 366/78,3981/350 is 3/13650

Least Common Multiple of 78,350 with GCF Formula

Least Common Multiple of 78,350 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 78,350 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,350) = 2

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

GCF(78,350) x common factors =2 x 1 = 2

LCM(78,350) = ( 78 × 350 ) / 2

LCM(78,350) = 27300 / 2

LCM(78,350) = 13650


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 366/78, 3981/350

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 366/78, 3981/350?

Answer: GCF of Numerators as per given numbers 366/78, 3981/350 is

GCF of Numerators i.e. for 366,3981 is 3

LCM of denominators i.e. for 78,350 is 13650.

Thus, GCF of Fractions is 3/13650.Finally, GCF of Fractions for 366/78, 3981/350 is 3/13650.