Greatest Common Factor of 186/85, 109/705

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 186/85, 109/705

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 186/85,109/705

Given fractions are 186/85,109/705

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 186,109

Greatest Common Factor of Numerators i.e. GCF of 186,109 is 1 .

LCM of Denominators means LCM of 85,705 as per the given fractions.

LCM of 85,705 is 11985 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 186,109

GCF of Fractions 186/85,109/705 is 1/11985

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

Greatest Common Factor of 186,109 By Matching Biggest Common Factor Method

Greatest Common Factor of 186,109 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 109

List of positive integer factors of 109 that divides 109 without a remainder.

1,109

Greatest Common Factor

We found the factors 186,109 . The biggest common factor number is the GCF number.
So the greatest common factor 186,109 is 1.

Lets's calculate LCM of 85,705

5 85, 705
17, 141

∴ So the LCM of the given numbers is 5 x 17 x 141 = 11985

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11985

Therefore, the GCF of Fractions 186/85,109/705 is 1/11985

Least Common Multiple of 85,705 with GCF Formula

Least Common Multiple of 85,705 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 85,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,705) = 5

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

GCF(85,705) x common factors =5 x 1 = 5

LCM(85,705) = ( 85 × 705 ) / 5

LCM(85,705) = 59925 / 5

LCM(85,705) = 11985


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 186/85, 109/705

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 186/85, 109/705?

Answer: GCF of Numerators as per given numbers 186/85, 109/705 is

GCF of Numerators i.e. for 186,109 is 1

LCM of denominators i.e. for 85,705 is 11985.

Thus, GCF of Fractions is 1/11985.Finally, GCF of Fractions for 186/85, 109/705 is 1/11985.