Greatest Common Factor of 935/55, 926/83, 249/20

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 935/55, 926/83, 249/20

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 935/55,926/83,249/20

Given fractions are 935/55,926/83,249/20

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 935,926,249

Greatest Common Factor of Numerators i.e. GCF of 935,926,249 is 1 .

LCM of Denominators means LCM of 55,83,20 as per the given fractions.

LCM of 55,83,20 is 18260 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 935,926,249

GCF of Fractions 935/55,926/83,249/20 is 1/18260

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

Greatest Common Factor of 935,926,249 By Matching Biggest Common Factor Method

Greatest Common Factor of 935,926,249 By Matching Biggest Common Factor Method

Factors of 935

List of positive integer factors of 935 that divides 935 without a remainder.

1,5,11,17,55,85,187,935

Factors of 926

List of positive integer factors of 926 that divides 926 without a remainder.

1,2,463,926

Factors of 249

List of positive integer factors of 249 that divides 249 without a remainder.

1,3,83,249

Greatest Common Factor

We found the factors 935,926,249 . The biggest common factor number is the GCF number.
So the greatest common factor 935,926,249 is 1.

Lets's calculate LCM of 55,83,20

5 55, 83, 20
11, 83, 4

∴ So the LCM of the given numbers is 5 x 11 x 83 x 4 = 18260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18260

Therefore, the GCF of Fractions 935/55,926/83,249/20 is 1/18260

Least Common Multiple of 55,83,20 with GCF Formula

Least Common Multiple of 55,83,20 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 55,83,20 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,83,20) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(55,83,20) x common factors =1 x 5 = 5

LCM(55,83,20) = ( 55 × 83 × 20 ) / 5

LCM(55,83,20) = 91300 / 5

LCM(55,83,20) = 18260


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 935/55, 926/83, 249/20

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 935/55, 926/83, 249/20?

Answer: GCF of Numerators as per given numbers 935/55, 926/83, 249/20 is

GCF of Numerators i.e. for 935,926,249 is 1

LCM of denominators i.e. for 55,83,20 is 18260.

Thus, GCF of Fractions is 1/18260.Finally, GCF of Fractions for 935/55, 926/83, 249/20 is 1/18260.