Greatest Common Factor of 5294/174, 1744/230

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5294/174, 1744/230

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 5294/174,1744/230

Given fractions are 5294/174,1744/230

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 5294,1744

Greatest Common Factor of Numerators i.e. GCF of 5294,1744 is 2 .

LCM of Denominators means LCM of 174,230 as per the given fractions.

LCM of 174,230 is 20010 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5294,1744

GCF of Fractions 5294/174,1744/230 is 2/20010

2 5294, 1744
2647, 872

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 5294,1744 By Matching Biggest Common Factor Method

Greatest Common Factor of 5294,1744 By Matching Biggest Common Factor Method

Factors of 5294

List of positive integer factors of 5294 that divides 5294 without a remainder.

1,2,2647,5294

Factors of 1744

List of positive integer factors of 1744 that divides 1744 without a remainder.

1,2,4,8,16,109,218,436,872,1744

Greatest Common Factor

We found the factors 5294,1744 . The biggest common factor number is the GCF number.
So the greatest common factor 5294,1744 is 2.

Lets's calculate LCM of 174,230

2 174, 230
87, 115

∴ So the LCM of the given numbers is 2 x 87 x 115 = 20010

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/20010

Therefore, the GCF of Fractions 5294/174,1744/230 is 2/20010

Least Common Multiple of 174,230 with GCF Formula

Least Common Multiple of 174,230 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 174,230 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(174,230) = 2

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

GCF(174,230) x common factors =2 x 1 = 2

LCM(174,230) = ( 174 × 230 ) / 2

LCM(174,230) = 40020 / 2

LCM(174,230) = 20010


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 5294/174, 1744/230

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 5294/174, 1744/230?

Answer: GCF of Numerators as per given numbers 5294/174, 1744/230 is

GCF of Numerators i.e. for 5294,1744 is 2

LCM of denominators i.e. for 174,230 is 20010.

Thus, GCF of Fractions is 2/20010.Finally, GCF of Fractions for 5294/174, 1744/230 is 2/20010.