Greatest Common Factor of 186/258, 1686/752

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 186/258, 1686/752

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 186/258,1686/752

Given fractions are 186/258,1686/752

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 186,1686

Greatest Common Factor of Numerators i.e. GCF of 186,1686 is 6 .

LCM of Denominators means LCM of 258,752 as per the given fractions.

LCM of 258,752 is 97008 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 186,1686

GCF of Fractions 186/258,1686/752 is 6/97008

2 186, 1686
3 93, 843
31, 281

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 186,1686 By Matching Biggest Common Factor Method

Greatest Common Factor of 186,1686 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 1686

List of positive integer factors of 1686 that divides 1686 without a remainder.

1,2,3,6,281,562,843,1686

Greatest Common Factor

We found the factors 186,1686 . The biggest common factor number is the GCF number.
So the greatest common factor 186,1686 is 6.

Lets's calculate LCM of 258,752

2 258, 752
129, 376

∴ So the LCM of the given numbers is 2 x 129 x 376 = 97008

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/97008

Therefore, the GCF of Fractions 186/258,1686/752 is 6/97008

Least Common Multiple of 258,752 with GCF Formula

Least Common Multiple of 258,752 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 258,752 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(258,752) = 2

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

GCF(258,752) x common factors =2 x 1 = 2

LCM(258,752) = ( 258 × 752 ) / 2

LCM(258,752) = 194016 / 2

LCM(258,752) = 97008


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 186/258, 1686/752

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 186/258, 1686/752?

Answer: GCF of Numerators as per given numbers 186/258, 1686/752 is

GCF of Numerators i.e. for 186,1686 is 6

LCM of denominators i.e. for 258,752 is 97008.

Thus, GCF of Fractions is 6/97008.Finally, GCF of Fractions for 186/258, 1686/752 is 6/97008.