Greatest Common Factor of 186/11, 743/43, 765/279

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 186/11, 743/43, 765/279

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 186/11,743/43,765/279

Given fractions are 186/11,743/43,765/279

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 186,743,765

Greatest Common Factor of Numerators i.e. GCF of 186,743,765 is 1 .

LCM of Denominators means LCM of 11,43,279 as per the given fractions.

LCM of 11,43,279 is 131967 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 186,743,765

GCF of Fractions 186/11,743/43,765/279 is 1/131967

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

Greatest Common Factor of 186,743,765 By Matching Biggest Common Factor Method

Greatest Common Factor of 186,743,765 By Matching Biggest Common Factor Method

Factors of 186

List of positive integer factors of 186 that divides 186 without a remainder.

1,2,3,6,31,62,93,186

Factors of 743

List of positive integer factors of 743 that divides 743 without a remainder.

1,743

Factors of 765

List of positive integer factors of 765 that divides 765 without a remainder.

1,3,5,9,15,17,45,51,85,153,255,765

Greatest Common Factor

We found the factors 186,743,765 . The biggest common factor number is the GCF number.
So the greatest common factor 186,743,765 is 1.

Lets's calculate LCM of 11,43,279

Given numbers has no common factors except 1. So, there LCM is their product i.e 131967

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/131967

Therefore, the GCF of Fractions 186/11,743/43,765/279 is 1/131967

Least Common Multiple of 11,43,279 with GCF Formula

Least Common Multiple of 11,43,279 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 11,43,279 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,43,279) = 1

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

GCF(11,43,279) x common factors =1 x 1 = 1

LCM(11,43,279) = ( 11 × 43 × 279 ) / 1

LCM(11,43,279) = 131967 / 1

LCM(11,43,279) = 131967


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 186/11, 743/43, 765/279

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 186/11, 743/43, 765/279?

Answer: GCF of Numerators as per given numbers 186/11, 743/43, 765/279 is

GCF of Numerators i.e. for 186,743,765 is 1

LCM of denominators i.e. for 11,43,279 is 131967.

Thus, GCF of Fractions is 1/131967.Finally, GCF of Fractions for 186/11, 743/43, 765/279 is 1/131967.