Greatest Common Factor of 167/1005, 105/4035

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 167/1005, 105/4035

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 167/1005,105/4035

Given fractions are 167/1005,105/4035

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 167,105

Greatest Common Factor of Numerators i.e. GCF of 167,105 is 1 .

LCM of Denominators means LCM of 1005,4035 as per the given fractions.

LCM of 1005,4035 is 270345 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 167,105

GCF of Fractions 167/1005,105/4035 is 1/270345

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

Greatest Common Factor of 167,105 By Matching Biggest Common Factor Method

Greatest Common Factor of 167,105 By Matching Biggest Common Factor Method

Factors of 167

List of positive integer factors of 167 that divides 167 without a remainder.

1,167

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Greatest Common Factor

We found the factors 167,105 . The biggest common factor number is the GCF number.
So the greatest common factor 167,105 is 1.

Lets's calculate LCM of 1005,4035

3 1005, 4035
5 335, 1345
67, 269

∴ So the LCM of the given numbers is 3 x 5 x 67 x 269 = 270345

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/270345

Therefore, the GCF of Fractions 167/1005,105/4035 is 1/270345

Least Common Multiple of 1005,4035 with GCF Formula

Least Common Multiple of 1005,4035 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 1005,4035 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1005,4035) = 15

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

GCF(1005,4035) x common factors =15 x 1 = 15

LCM(1005,4035) = ( 1005 × 4035 ) / 15

LCM(1005,4035) = 4055175 / 15

LCM(1005,4035) = 270345


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 167/1005, 105/4035

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 167/1005, 105/4035?

Answer: GCF of Numerators as per given numbers 167/1005, 105/4035 is

GCF of Numerators i.e. for 167,105 is 1

LCM of denominators i.e. for 1005,4035 is 270345.

Thus, GCF of Fractions is 1/270345.Finally, GCF of Fractions for 167/1005, 105/4035 is 1/270345.