Greatest Common Factor of 23/174, 47/614, 387/385

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 23/174, 47/614, 387/385

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 23/174,47/614,387/385

Given fractions are 23/174,47/614,387/385

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 23,47,387

Greatest Common Factor of Numerators i.e. GCF of 23,47,387 is 1 .

LCM of Denominators means LCM of 174,614,385 as per the given fractions.

LCM of 174,614,385 is 20565930 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 23,47,387

GCF of Fractions 23/174,47/614,387/385 is 1/20565930

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

Greatest Common Factor of 23,47,387 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,47,387 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 387

List of positive integer factors of 387 that divides 387 without a remainder.

1,3,9,43,129,387

Greatest Common Factor

We found the factors 23,47,387 . The biggest common factor number is the GCF number.
So the greatest common factor 23,47,387 is 1.

Lets's calculate LCM of 174,614,385

2 174, 614, 385
87, 307, 385

∴ So the LCM of the given numbers is 2 x 87 x 307 x 385 = 20565930

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20565930

Therefore, the GCF of Fractions 23/174,47/614,387/385 is 1/20565930

Least Common Multiple of 174,614,385 with GCF Formula

Least Common Multiple of 174,614,385 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 174,614,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(174,614,385) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(174,614,385) x common factors =1 x 2 = 2

LCM(174,614,385) = ( 174 × 614 × 385 ) / 2

LCM(174,614,385) = 41131860 / 2

LCM(174,614,385) = 20565930


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 23/174, 47/614, 387/385

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 23/174, 47/614, 387/385?

Answer: GCF of Numerators as per given numbers 23/174, 47/614, 387/385 is

GCF of Numerators i.e. for 23,47,387 is 1

LCM of denominators i.e. for 174,614,385 is 20565930.

Thus, GCF of Fractions is 1/20565930.Finally, GCF of Fractions for 23/174, 47/614, 387/385 is 1/20565930.