Greatest Common Factor of 186/706, 664/538, 276/185

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 186/706, 664/538, 276/185

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 186/706,664/538,276/185

Given fractions are 186/706,664/538,276/185

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 186,664,276

Greatest Common Factor of Numerators i.e. GCF of 186,664,276 is 2 .

LCM of Denominators means LCM of 706,538,185 as per the given fractions.

LCM of 706,538,185 is 35134090 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 186,664,276

GCF of Fractions 186/706,664/538,276/185 is 2/35134090

2 186, 664, 276
93, 332, 138

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 186,664,276 By Matching Biggest Common Factor Method

Greatest Common Factor of 186,664,276 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 664

List of positive integer factors of 664 that divides 664 without a remainder.

1,2,4,8,83,166,332,664

Factors of 276

List of positive integer factors of 276 that divides 276 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276

Greatest Common Factor

We found the factors 186,664,276 . The biggest common factor number is the GCF number.
So the greatest common factor 186,664,276 is 2.

Lets's calculate LCM of 706,538,185

2 706, 538, 185
353, 269, 185

∴ So the LCM of the given numbers is 2 x 353 x 269 x 185 = 35134090

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/35134090

Therefore, the GCF of Fractions 186/706,664/538,276/185 is 2/35134090

Least Common Multiple of 706,538,185 with GCF Formula

Least Common Multiple of 706,538,185 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 706,538,185 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(706,538,185) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(706,538,185) x common factors =1 x 2 = 2

LCM(706,538,185) = ( 706 × 538 × 185 ) / 2

LCM(706,538,185) = 70268180 / 2

LCM(706,538,185) = 35134090


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 186/706, 664/538, 276/185

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 186/706, 664/538, 276/185?

Answer: GCF of Numerators as per given numbers 186/706, 664/538, 276/185 is

GCF of Numerators i.e. for 186,664,276 is 2

LCM of denominators i.e. for 706,538,185 is 35134090.

Thus, GCF of Fractions is 2/35134090.Finally, GCF of Fractions for 186/706, 664/538, 276/185 is 2/35134090.