Greatest Common Factor of 111/78, 414/8452

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 111/78, 414/8452

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 111/78,414/8452

Given fractions are 111/78,414/8452

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 111,414

Greatest Common Factor of Numerators i.e. GCF of 111,414 is 3 .

LCM of Denominators means LCM of 78,8452 as per the given fractions.

LCM of 78,8452 is 329628 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 111,414

GCF of Fractions 111/78,414/8452 is 3/329628

3 111, 414
37, 138

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

Greatest Common Factor of 111,414 By Matching Biggest Common Factor Method

Greatest Common Factor of 111,414 By Matching Biggest Common Factor Method

Factors of 111

List of positive integer factors of 111 that divides 111 without a remainder.

1,3,37,111

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Greatest Common Factor

We found the factors 111,414 . The biggest common factor number is the GCF number.
So the greatest common factor 111,414 is 3.

Lets's calculate LCM of 78,8452

2 78, 8452
39, 4226

∴ So the LCM of the given numbers is 2 x 39 x 4226 = 329628

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/329628

Therefore, the GCF of Fractions 111/78,414/8452 is 3/329628

Least Common Multiple of 78,8452 with GCF Formula

Least Common Multiple of 78,8452 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 78,8452 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,8452) = 2

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

GCF(78,8452) x common factors =2 x 1 = 2

LCM(78,8452) = ( 78 × 8452 ) / 2

LCM(78,8452) = 659256 / 2

LCM(78,8452) = 329628


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 111/78, 414/8452

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 111/78, 414/8452?

Answer: GCF of Numerators as per given numbers 111/78, 414/8452 is

GCF of Numerators i.e. for 111,414 is 3

LCM of denominators i.e. for 78,8452 is 329628.

Thus, GCF of Fractions is 3/329628.Finally, GCF of Fractions for 111/78, 414/8452 is 3/329628.