Greatest Common Factor of 235/33, 858/66, 958/523

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 235/33, 858/66, 958/523

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 235/33,858/66,958/523

Given fractions are 235/33,858/66,958/523

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 235,858,958

Greatest Common Factor of Numerators i.e. GCF of 235,858,958 is 1 .

LCM of Denominators means LCM of 33,66,523 as per the given fractions.

LCM of 33,66,523 is 34518 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 235,858,958

GCF of Fractions 235/33,858/66,958/523 is 1/34518

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

Greatest Common Factor of 235,858,958 By Matching Biggest Common Factor Method

Greatest Common Factor of 235,858,958 By Matching Biggest Common Factor Method

Factors of 235

List of positive integer factors of 235 that divides 235 without a remainder.

1,5,47,235

Factors of 858

List of positive integer factors of 858 that divides 858 without a remainder.

1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858

Factors of 958

List of positive integer factors of 958 that divides 958 without a remainder.

1,2,479,958

Greatest Common Factor

We found the factors 235,858,958 . The biggest common factor number is the GCF number.
So the greatest common factor 235,858,958 is 1.

Lets's calculate LCM of 33,66,523

3 33, 66, 523
11 11, 22, 523
1, 2, 523

∴ So the LCM of the given numbers is 3 x 11 x 1 x 2 x 523 = 34518

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34518

Therefore, the GCF of Fractions 235/33,858/66,958/523 is 1/34518

Least Common Multiple of 33,66,523 with GCF Formula

Least Common Multiple of 33,66,523 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 33,66,523 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,66,523) = 1

common factors(in case of two or more numbers have common factors) = 33

GCF(33,66,523) x common factors =1 x 33 = 33

LCM(33,66,523) = ( 33 × 66 × 523 ) / 33

LCM(33,66,523) = 1139094 / 33

LCM(33,66,523) = 34518


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 235/33, 858/66, 958/523

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 235/33, 858/66, 958/523?

Answer: GCF of Numerators as per given numbers 235/33, 858/66, 958/523 is

GCF of Numerators i.e. for 235,858,958 is 1

LCM of denominators i.e. for 33,66,523 is 34518.

Thus, GCF of Fractions is 1/34518.Finally, GCF of Fractions for 235/33, 858/66, 958/523 is 1/34518.