Greatest Common Factor of 866/84, 836/89, 228/601

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 866/84, 836/89, 228/601

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 866/84,836/89,228/601

Given fractions are 866/84,836/89,228/601

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 866,836,228

Greatest Common Factor of Numerators i.e. GCF of 866,836,228 is 2 .

LCM of Denominators means LCM of 84,89,601 as per the given fractions.

LCM of 84,89,601 is 4493076 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 866,836,228

GCF of Fractions 866/84,836/89,228/601 is 2/4493076

2 866, 836, 228
433, 418, 114

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

Greatest Common Factor of 866,836,228 By Matching Biggest Common Factor Method

Greatest Common Factor of 866,836,228 By Matching Biggest Common Factor Method

Factors of 866

List of positive integer factors of 866 that divides 866 without a remainder.

1,2,433,866

Factors of 836

List of positive integer factors of 836 that divides 836 without a remainder.

1,2,4,11,19,22,38,44,76,209,418,836

Factors of 228

List of positive integer factors of 228 that divides 228 without a remainder.

1,2,3,4,6,12,19,38,57,76,114,228

Greatest Common Factor

We found the factors 866,836,228 . The biggest common factor number is the GCF number.
So the greatest common factor 866,836,228 is 2.

Lets's calculate LCM of 84,89,601

Given numbers has no common factors except 1. So, there LCM is their product i.e 4493076

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4493076

Therefore, the GCF of Fractions 866/84,836/89,228/601 is 2/4493076

Least Common Multiple of 84,89,601 with GCF Formula

Least Common Multiple of 84,89,601 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 84,89,601 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,89,601) = 1

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

GCF(84,89,601) x common factors =1 x 1 = 1

LCM(84,89,601) = ( 84 × 89 × 601 ) / 1

LCM(84,89,601) = 4493076 / 1

LCM(84,89,601) = 4493076


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 866/84, 836/89, 228/601

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 866/84, 836/89, 228/601?

Answer: GCF of Numerators as per given numbers 866/84, 836/89, 228/601 is

GCF of Numerators i.e. for 866,836,228 is 2

LCM of denominators i.e. for 84,89,601 is 4493076.

Thus, GCF of Fractions is 2/4493076.Finally, GCF of Fractions for 866/84, 836/89, 228/601 is 2/4493076.