Greatest Common Factor of 745/582, 6175/447

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 745/582, 6175/447

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 745/582,6175/447

Given fractions are 745/582,6175/447

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 745,6175

Greatest Common Factor of Numerators i.e. GCF of 745,6175 is 5 .

LCM of Denominators means LCM of 582,447 as per the given fractions.

LCM of 582,447 is 86718 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 745,6175

GCF of Fractions 745/582,6175/447 is 5/86718

5 745, 6175
149, 1235

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 745,6175 By Matching Biggest Common Factor Method

Greatest Common Factor of 745,6175 By Matching Biggest Common Factor Method

Factors of 745

List of positive integer factors of 745 that divides 745 without a remainder.

1,5,149,745

Factors of 6175

List of positive integer factors of 6175 that divides 6175 without a remainder.

1,5,13,19,25,65,95,247,325,475,1235,6175

Greatest Common Factor

We found the factors 745,6175 . The biggest common factor number is the GCF number.
So the greatest common factor 745,6175 is 5.

Lets's calculate LCM of 582,447

3 582, 447
194, 149

∴ So the LCM of the given numbers is 3 x 194 x 149 = 86718

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/86718

Therefore, the GCF of Fractions 745/582,6175/447 is 5/86718

Least Common Multiple of 582,447 with GCF Formula

Least Common Multiple of 582,447 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 582,447 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(582,447) = 3

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

GCF(582,447) x common factors =3 x 1 = 3

LCM(582,447) = ( 582 × 447 ) / 3

LCM(582,447) = 260154 / 3

LCM(582,447) = 86718


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 745/582, 6175/447

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 745/582, 6175/447?

Answer: GCF of Numerators as per given numbers 745/582, 6175/447 is

GCF of Numerators i.e. for 745,6175 is 5

LCM of denominators i.e. for 582,447 is 86718.

Thus, GCF of Fractions is 5/86718.Finally, GCF of Fractions for 745/582, 6175/447 is 5/86718.