Greatest Common Factor of 193/64, 655/78, 116/306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 193/64, 655/78, 116/306

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 193/64,655/78,116/306

Given fractions are 193/64,655/78,116/306

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 193,655,116

Greatest Common Factor of Numerators i.e. GCF of 193,655,116 is 1 .

LCM of Denominators means LCM of 64,78,306 as per the given fractions.

LCM of 64,78,306 is 127296 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 193,655,116

GCF of Fractions 193/64,655/78,116/306 is 1/127296

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

Greatest Common Factor of 193,655,116 By Matching Biggest Common Factor Method

Greatest Common Factor of 193,655,116 By Matching Biggest Common Factor Method

Factors of 193

List of positive integer factors of 193 that divides 193 without a remainder.

1,193

Factors of 655

List of positive integer factors of 655 that divides 655 without a remainder.

1,5,131,655

Factors of 116

List of positive integer factors of 116 that divides 116 without a remainder.

1,2,4,29,58,116

Greatest Common Factor

We found the factors 193,655,116 . The biggest common factor number is the GCF number.
So the greatest common factor 193,655,116 is 1.

Lets's calculate LCM of 64,78,306

2 64, 78, 306
3 32, 39, 153
32, 13, 51

∴ So the LCM of the given numbers is 2 x 3 x 32 x 13 x 51 = 127296

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/127296

Therefore, the GCF of Fractions 193/64,655/78,116/306 is 1/127296

Least Common Multiple of 64,78,306 with GCF Formula

Least Common Multiple of 64,78,306 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 64,78,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,78,306) = 2

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

GCF(64,78,306) x common factors =2 x 6 = 12

LCM(64,78,306) = ( 64 × 78 × 306 ) / 12

LCM(64,78,306) = 1527552 / 12

LCM(64,78,306) = 127296


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 193/64, 655/78, 116/306

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 193/64, 655/78, 116/306?

Answer: GCF of Numerators as per given numbers 193/64, 655/78, 116/306 is

GCF of Numerators i.e. for 193,655,116 is 1

LCM of denominators i.e. for 64,78,306 is 127296.

Thus, GCF of Fractions is 1/127296.Finally, GCF of Fractions for 193/64, 655/78, 116/306 is 1/127296.