Greatest Common Factor of 913/197, 363/258

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 913/197, 363/258

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 913/197,363/258

Given fractions are 913/197,363/258

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 913,363

Greatest Common Factor of Numerators i.e. GCF of 913,363 is 11 .

LCM of Denominators means LCM of 197,258 as per the given fractions.

LCM of 197,258 is 50826 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 913,363

GCF of Fractions 913/197,363/258 is 11/50826

11 913, 363
83, 33

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 913,363 By Matching Biggest Common Factor Method

Greatest Common Factor of 913,363 By Matching Biggest Common Factor Method

Factors of 913

List of positive integer factors of 913 that divides 913 without a remainder.

1,11,83,913

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Greatest Common Factor

We found the factors 913,363 . The biggest common factor number is the GCF number.
So the greatest common factor 913,363 is 11.

Lets's calculate LCM of 197,258

Given numbers has no common factors except 1. So, there LCM is their product i.e 50826

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/50826

Therefore, the GCF of Fractions 913/197,363/258 is 11/50826

Least Common Multiple of 197,258 with GCF Formula

Least Common Multiple of 197,258 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 197,258 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(197,258) = 1

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

GCF(197,258) x common factors =1 x 1 = 1

LCM(197,258) = ( 197 × 258 ) / 1

LCM(197,258) = 50826 / 1

LCM(197,258) = 50826


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 913/197, 363/258

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 913/197, 363/258?

Answer: GCF of Numerators as per given numbers 913/197, 363/258 is

GCF of Numerators i.e. for 913,363 is 11

LCM of denominators i.e. for 197,258 is 50826.

Thus, GCF of Fractions is 11/50826.Finally, GCF of Fractions for 913/197, 363/258 is 11/50826.