Greatest Common Factor of 233/69, 677/86, 678/908

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 233/69, 677/86, 678/908

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 233/69,677/86,678/908

Given fractions are 233/69,677/86,678/908

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 233,677,678

Greatest Common Factor of Numerators i.e. GCF of 233,677,678 is 1 .

LCM of Denominators means LCM of 69,86,908 as per the given fractions.

LCM of 69,86,908 is 2694036 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 233,677,678

GCF of Fractions 233/69,677/86,678/908 is 1/2694036

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 233,677,678 By Matching Biggest Common Factor Method

Greatest Common Factor of 233,677,678 By Matching Biggest Common Factor Method

Factors of 233

List of positive integer factors of 233 that divides 233 without a remainder.

1,233

Factors of 677

List of positive integer factors of 677 that divides 677 without a remainder.

1,677

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Greatest Common Factor

We found the factors 233,677,678 . The biggest common factor number is the GCF number.
So the greatest common factor 233,677,678 is 1.

Lets's calculate LCM of 69,86,908

2 69, 86, 908
69, 43, 454

∴ So the LCM of the given numbers is 2 x 69 x 43 x 454 = 2694036

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2694036

Therefore, the GCF of Fractions 233/69,677/86,678/908 is 1/2694036

Least Common Multiple of 69,86,908 with GCF Formula

Least Common Multiple of 69,86,908 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 69,86,908 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,86,908) = 1

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

GCF(69,86,908) x common factors =1 x 2 = 2

LCM(69,86,908) = ( 69 × 86 × 908 ) / 2

LCM(69,86,908) = 5388072 / 2

LCM(69,86,908) = 2694036


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 233/69, 677/86, 678/908

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 233/69, 677/86, 678/908?

Answer: GCF of Numerators as per given numbers 233/69, 677/86, 678/908 is

GCF of Numerators i.e. for 233,677,678 is 1

LCM of denominators i.e. for 69,86,908 is 2694036.

Thus, GCF of Fractions is 1/2694036.Finally, GCF of Fractions for 233/69, 677/86, 678/908 is 1/2694036.