Greatest Common Factor of 166/16, 198/67, 114/265

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 166/16, 198/67, 114/265

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 166/16,198/67,114/265

Given fractions are 166/16,198/67,114/265

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 166,198,114

Greatest Common Factor of Numerators i.e. GCF of 166,198,114 is 2 .

LCM of Denominators means LCM of 16,67,265 as per the given fractions.

LCM of 16,67,265 is 284080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 166,198,114

GCF of Fractions 166/16,198/67,114/265 is 2/284080

2 166, 198, 114
83, 99, 57

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

Greatest Common Factor of 166,198,114 By Matching Biggest Common Factor Method

Greatest Common Factor of 166,198,114 By Matching Biggest Common Factor Method

Factors of 166

List of positive integer factors of 166 that divides 166 without a remainder.

1,2,83,166

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

Greatest Common Factor

We found the factors 166,198,114 . The biggest common factor number is the GCF number.
So the greatest common factor 166,198,114 is 2.

Lets's calculate LCM of 16,67,265

Given numbers has no common factors except 1. So, there LCM is their product i.e 284080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/284080

Therefore, the GCF of Fractions 166/16,198/67,114/265 is 2/284080

Least Common Multiple of 16,67,265 with GCF Formula

Least Common Multiple of 16,67,265 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 16,67,265 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,67,265) = 1

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

GCF(16,67,265) x common factors =1 x 1 = 1

LCM(16,67,265) = ( 16 × 67 × 265 ) / 1

LCM(16,67,265) = 284080 / 1

LCM(16,67,265) = 284080


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 166/16, 198/67, 114/265

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 166/16, 198/67, 114/265?

Answer: GCF of Numerators as per given numbers 166/16, 198/67, 114/265 is

GCF of Numerators i.e. for 166,198,114 is 2

LCM of denominators i.e. for 16,67,265 is 284080.

Thus, GCF of Fractions is 2/284080.Finally, GCF of Fractions for 166/16, 198/67, 114/265 is 2/284080.