Greatest Common Factor of 1726/163, 4008/135

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1726/163, 4008/135

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 1726/163,4008/135

Given fractions are 1726/163,4008/135

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 1726,4008

Greatest Common Factor of Numerators i.e. GCF of 1726,4008 is 2 .

LCM of Denominators means LCM of 163,135 as per the given fractions.

LCM of 163,135 is 22005 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1726,4008

GCF of Fractions 1726/163,4008/135 is 2/22005

2 1726, 4008
863, 2004

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

Greatest Common Factor of 1726,4008 By Matching Biggest Common Factor Method

Greatest Common Factor of 1726,4008 By Matching Biggest Common Factor Method

Factors of 1726

List of positive integer factors of 1726 that divides 1726 without a remainder.

1,2,863,1726

Factors of 4008

List of positive integer factors of 4008 that divides 4008 without a remainder.

1,2,3,4,6,8,12,24,167,334,501,668,1002,1336,2004,4008

Greatest Common Factor

We found the factors 1726,4008 . The biggest common factor number is the GCF number.
So the greatest common factor 1726,4008 is 2.

Lets's calculate LCM of 163,135

Given numbers has no common factors except 1. So, there LCM is their product i.e 22005

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/22005

Therefore, the GCF of Fractions 1726/163,4008/135 is 2/22005

Least Common Multiple of 163,135 with GCF Formula

Least Common Multiple of 163,135 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 163,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(163,135) = 1

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

GCF(163,135) x common factors =1 x 1 = 1

LCM(163,135) = ( 163 × 135 ) / 1

LCM(163,135) = 22005 / 1

LCM(163,135) = 22005


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 1726/163, 4008/135

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 1726/163, 4008/135?

Answer: GCF of Numerators as per given numbers 1726/163, 4008/135 is

GCF of Numerators i.e. for 1726,4008 is 2

LCM of denominators i.e. for 163,135 is 22005.

Thus, GCF of Fractions is 2/22005.Finally, GCF of Fractions for 1726/163, 4008/135 is 2/22005.