Greatest Common Factor of 3857/23, 1105/115

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3857/23, 1105/115

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 3857/23,1105/115

Given fractions are 3857/23,1105/115

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 3857,1105

Greatest Common Factor of Numerators i.e. GCF of 3857,1105 is 1 .

LCM of Denominators means LCM of 23,115 as per the given fractions.

LCM of 23,115 is 115 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3857,1105

GCF of Fractions 3857/23,1105/115 is 1/115

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

Greatest Common Factor of 3857,1105 By Matching Biggest Common Factor Method

Greatest Common Factor of 3857,1105 By Matching Biggest Common Factor Method

Factors of 3857

List of positive integer factors of 3857 that divides 3857 without a remainder.

1,7,19,29,133,203,551,3857

Factors of 1105

List of positive integer factors of 1105 that divides 1105 without a remainder.

1,5,13,17,65,85,221,1105

Greatest Common Factor

We found the factors 3857,1105 . The biggest common factor number is the GCF number.
So the greatest common factor 3857,1105 is 1.

Lets's calculate LCM of 23,115

23 23, 115
1, 5

∴ So the LCM of the given numbers is 23 x 1 x 5 = 115

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/115

Therefore, the GCF of Fractions 3857/23,1105/115 is 1/115

Least Common Multiple of 23,115 with GCF Formula

Least Common Multiple of 23,115 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 23,115 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,115) = 23

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

GCF(23,115) x common factors =23 x 1 = 23

LCM(23,115) = ( 23 × 115 ) / 23

LCM(23,115) = 2645 / 23

LCM(23,115) = 115


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 3857/23, 1105/115

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 3857/23, 1105/115?

Answer: GCF of Numerators as per given numbers 3857/23, 1105/115 is

GCF of Numerators i.e. for 3857,1105 is 1

LCM of denominators i.e. for 23,115 is 115.

Thus, GCF of Fractions is 1/115.Finally, GCF of Fractions for 3857/23, 1105/115 is 1/115.