Greatest Common Factor of 393/86, 312/12, 617/414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 393/86, 312/12, 617/414

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 393/86,312/12,617/414

Given fractions are 393/86,312/12,617/414

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 393,312,617

Greatest Common Factor of Numerators i.e. GCF of 393,312,617 is 1 .

LCM of Denominators means LCM of 86,12,414 as per the given fractions.

LCM of 86,12,414 is 35604 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 393,312,617

GCF of Fractions 393/86,312/12,617/414 is 1/35604

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

Greatest Common Factor of 393,312,617 By Matching Biggest Common Factor Method

Greatest Common Factor of 393,312,617 By Matching Biggest Common Factor Method

Factors of 393

List of positive integer factors of 393 that divides 393 without a remainder.

1,3,131,393

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Factors of 617

List of positive integer factors of 617 that divides 617 without a remainder.

1,617

Greatest Common Factor

We found the factors 393,312,617 . The biggest common factor number is the GCF number.
So the greatest common factor 393,312,617 is 1.

Lets's calculate LCM of 86,12,414

2 86, 12, 414
3 43, 6, 207
43, 2, 69

∴ So the LCM of the given numbers is 2 x 3 x 43 x 2 x 69 = 35604

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35604

Therefore, the GCF of Fractions 393/86,312/12,617/414 is 1/35604

Least Common Multiple of 86,12,414 with GCF Formula

Least Common Multiple of 86,12,414 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 86,12,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,12,414) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(86,12,414) x common factors =2 x 6 = 12

LCM(86,12,414) = ( 86 × 12 × 414 ) / 12

LCM(86,12,414) = 427248 / 12

LCM(86,12,414) = 35604


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 393/86, 312/12, 617/414

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 393/86, 312/12, 617/414?

Answer: GCF of Numerators as per given numbers 393/86, 312/12, 617/414 is

GCF of Numerators i.e. for 393,312,617 is 1

LCM of denominators i.e. for 86,12,414 is 35604.

Thus, GCF of Fractions is 1/35604.Finally, GCF of Fractions for 393/86, 312/12, 617/414 is 1/35604.