Greatest Common Factor of 863/39, 414/13, 133/75

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 863/39, 414/13, 133/75

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 863/39,414/13,133/75

Given fractions are 863/39,414/13,133/75

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 863,414,133

Greatest Common Factor of Numerators i.e. GCF of 863,414,133 is 1 .

LCM of Denominators means LCM of 39,13,75 as per the given fractions.

LCM of 39,13,75 is 975 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 863,414,133

GCF of Fractions 863/39,414/13,133/75 is 1/975

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

Greatest Common Factor of 863,414,133 By Matching Biggest Common Factor Method

Greatest Common Factor of 863,414,133 By Matching Biggest Common Factor Method

Factors of 863

List of positive integer factors of 863 that divides 863 without a remainder.

1,863

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

Factors of 133

List of positive integer factors of 133 that divides 133 without a remainder.

1,7,19,133

Greatest Common Factor

We found the factors 863,414,133 . The biggest common factor number is the GCF number.
So the greatest common factor 863,414,133 is 1.

Lets's calculate LCM of 39,13,75

3 39, 13, 75
13 13, 13, 25
1, 1, 25

∴ So the LCM of the given numbers is 3 x 13 x 1 x 1 x 25 = 975

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/975

Therefore, the GCF of Fractions 863/39,414/13,133/75 is 1/975

Least Common Multiple of 39,13,75 with GCF Formula

Least Common Multiple of 39,13,75 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 39,13,75 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,13,75) = 1

common factors(in case of two or more numbers have common factors) = 39

GCF(39,13,75) x common factors =1 x 39 = 39

LCM(39,13,75) = ( 39 × 13 × 75 ) / 39

LCM(39,13,75) = 38025 / 39

LCM(39,13,75) = 975


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 863/39, 414/13, 133/75

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 863/39, 414/13, 133/75?

Answer: GCF of Numerators as per given numbers 863/39, 414/13, 133/75 is

GCF of Numerators i.e. for 863,414,133 is 1

LCM of denominators i.e. for 39,13,75 is 975.

Thus, GCF of Fractions is 1/975.Finally, GCF of Fractions for 863/39, 414/13, 133/75 is 1/975.