Greatest Common Factor of 173/685, 4469/6915

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 173/685, 4469/6915

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 173/685,4469/6915

Given fractions are 173/685,4469/6915

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 173,4469

Greatest Common Factor of Numerators i.e. GCF of 173,4469 is 1 .

LCM of Denominators means LCM of 685,6915 as per the given fractions.

LCM of 685,6915 is 947355 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 173,4469

GCF of Fractions 173/685,4469/6915 is 1/947355

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

Greatest Common Factor of 173,4469 By Matching Biggest Common Factor Method

Greatest Common Factor of 173,4469 By Matching Biggest Common Factor Method

Factors of 173

List of positive integer factors of 173 that divides 173 without a remainder.

1,173

Factors of 4469

List of positive integer factors of 4469 that divides 4469 without a remainder.

1,41,109,4469

Greatest Common Factor

We found the factors 173,4469 . The biggest common factor number is the GCF number.
So the greatest common factor 173,4469 is 1.

Lets's calculate LCM of 685,6915

5 685, 6915
137, 1383

∴ So the LCM of the given numbers is 5 x 137 x 1383 = 947355

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/947355

Therefore, the GCF of Fractions 173/685,4469/6915 is 1/947355

Least Common Multiple of 685,6915 with GCF Formula

Least Common Multiple of 685,6915 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 685,6915 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(685,6915) = 5

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

GCF(685,6915) x common factors =5 x 1 = 5

LCM(685,6915) = ( 685 × 6915 ) / 5

LCM(685,6915) = 4736775 / 5

LCM(685,6915) = 947355


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 173/685, 4469/6915

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 173/685, 4469/6915?

Answer: GCF of Numerators as per given numbers 173/685, 4469/6915 is

GCF of Numerators i.e. for 173,4469 is 1

LCM of denominators i.e. for 685,6915 is 947355.

Thus, GCF of Fractions is 1/947355.Finally, GCF of Fractions for 173/685, 4469/6915 is 1/947355.