Greatest Common Factor of 66/67, 38/82, 814/233

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 66/67, 38/82, 814/233

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 66/67,38/82,814/233

Given fractions are 66/67,38/82,814/233

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 66,38,814

Greatest Common Factor of Numerators i.e. GCF of 66,38,814 is 2 .

LCM of Denominators means LCM of 67,82,233 as per the given fractions.

LCM of 67,82,233 is 1280102 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 66,38,814

GCF of Fractions 66/67,38/82,814/233 is 2/1280102

2 66, 38, 814
33, 19, 407

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

Greatest Common Factor of 66,38,814 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,38,814 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Greatest Common Factor

We found the factors 66,38,814 . The biggest common factor number is the GCF number.
So the greatest common factor 66,38,814 is 2.

Lets's calculate LCM of 67,82,233

Given numbers has no common factors except 1. So, there LCM is their product i.e 1280102

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1280102

Therefore, the GCF of Fractions 66/67,38/82,814/233 is 2/1280102

Least Common Multiple of 67,82,233 with GCF Formula

Least Common Multiple of 67,82,233 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 67,82,233 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,82,233) = 1

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

GCF(67,82,233) x common factors =1 x 1 = 1

LCM(67,82,233) = ( 67 × 82 × 233 ) / 1

LCM(67,82,233) = 1280102 / 1

LCM(67,82,233) = 1280102


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 66/67, 38/82, 814/233

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 66/67, 38/82, 814/233?

Answer: GCF of Numerators as per given numbers 66/67, 38/82, 814/233 is

GCF of Numerators i.e. for 66,38,814 is 2

LCM of denominators i.e. for 67,82,233 is 1280102.

Thus, GCF of Fractions is 2/1280102.Finally, GCF of Fractions for 66/67, 38/82, 814/233 is 2/1280102.