Greatest Common Factor of 55/66, 88/864, 286/185

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 55/66, 88/864, 286/185

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 55/66,88/864,286/185

Given fractions are 55/66,88/864,286/185

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 55,88,286

Greatest Common Factor of Numerators i.e. GCF of 55,88,286 is 11 .

LCM of Denominators means LCM of 66,864,185 as per the given fractions.

LCM of 66,864,185 is 1758240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 55,88,286

GCF of Fractions 55/66,88/864,286/185 is 11/1758240

11 55, 88, 286
5, 8, 26

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 55,88,286 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,88,286 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Greatest Common Factor

We found the factors 55,88,286 . The biggest common factor number is the GCF number.
So the greatest common factor 55,88,286 is 11.

Lets's calculate LCM of 66,864,185

2 66, 864, 185
3 33, 432, 185
11, 144, 185

∴ So the LCM of the given numbers is 2 x 3 x 11 x 144 x 185 = 1758240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/1758240

Therefore, the GCF of Fractions 55/66,88/864,286/185 is 11/1758240

Least Common Multiple of 66,864,185 with GCF Formula

Least Common Multiple of 66,864,185 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 66,864,185 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,864,185) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(66,864,185) x common factors =1 x 6 = 6

LCM(66,864,185) = ( 66 × 864 × 185 ) / 6

LCM(66,864,185) = 10549440 / 6

LCM(66,864,185) = 1758240


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 55/66, 88/864, 286/185

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 55/66, 88/864, 286/185?

Answer: GCF of Numerators as per given numbers 55/66, 88/864, 286/185 is

GCF of Numerators i.e. for 55,88,286 is 11

LCM of denominators i.e. for 66,864,185 is 1758240.

Thus, GCF of Fractions is 11/1758240.Finally, GCF of Fractions for 55/66, 88/864, 286/185 is 11/1758240.