Greatest Common Factor of 415/57, 9935/145

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 415/57, 9935/145

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 415/57,9935/145

Given fractions are 415/57,9935/145

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 415,9935

Greatest Common Factor of Numerators i.e. GCF of 415,9935 is 5 .

LCM of Denominators means LCM of 57,145 as per the given fractions.

LCM of 57,145 is 8265 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 415,9935

GCF of Fractions 415/57,9935/145 is 5/8265

5 415, 9935
83, 1987

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 415,9935 By Matching Biggest Common Factor Method

Greatest Common Factor of 415,9935 By Matching Biggest Common Factor Method

Factors of 415

List of positive integer factors of 415 that divides 415 without a remainder.

1,5,83,415

Factors of 9935

List of positive integer factors of 9935 that divides 9935 without a remainder.

1,5,1987,9935

Greatest Common Factor

We found the factors 415,9935 . The biggest common factor number is the GCF number.
So the greatest common factor 415,9935 is 5.

Lets's calculate LCM of 57,145

Given numbers has no common factors except 1. So, there LCM is their product i.e 8265

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/8265

Therefore, the GCF of Fractions 415/57,9935/145 is 5/8265

Least Common Multiple of 57,145 with GCF Formula

Least Common Multiple of 57,145 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 57,145 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,145) = 1

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

GCF(57,145) x common factors =1 x 1 = 1

LCM(57,145) = ( 57 × 145 ) / 1

LCM(57,145) = 8265 / 1

LCM(57,145) = 8265


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 415/57, 9935/145

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 415/57, 9935/145?

Answer: GCF of Numerators as per given numbers 415/57, 9935/145 is

GCF of Numerators i.e. for 415,9935 is 5

LCM of denominators i.e. for 57,145 is 8265.

Thus, GCF of Fractions is 5/8265.Finally, GCF of Fractions for 415/57, 9935/145 is 5/8265.