Greatest Common Factor of 365/13, 8525/258

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 365/13, 8525/258

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 365/13,8525/258

Given fractions are 365/13,8525/258

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 365,8525

Greatest Common Factor of Numerators i.e. GCF of 365,8525 is 5 .

LCM of Denominators means LCM of 13,258 as per the given fractions.

LCM of 13,258 is 3354 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 365,8525

GCF of Fractions 365/13,8525/258 is 5/3354

5 365, 8525
73, 1705

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

Greatest Common Factor of 365,8525 By Matching Biggest Common Factor Method

Greatest Common Factor of 365,8525 By Matching Biggest Common Factor Method

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Factors of 8525

List of positive integer factors of 8525 that divides 8525 without a remainder.

1,5,11,25,31,55,155,275,341,775,1705,8525

Greatest Common Factor

We found the factors 365,8525 . The biggest common factor number is the GCF number.
So the greatest common factor 365,8525 is 5.

Lets's calculate LCM of 13,258

Given numbers has no common factors except 1. So, there LCM is their product i.e 3354

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/3354

Therefore, the GCF of Fractions 365/13,8525/258 is 5/3354

Least Common Multiple of 13,258 with GCF Formula

Least Common Multiple of 13,258 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 13,258 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,258) = 1

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

GCF(13,258) x common factors =1 x 1 = 1

LCM(13,258) = ( 13 × 258 ) / 1

LCM(13,258) = 3354 / 1

LCM(13,258) = 3354


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 365/13, 8525/258

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 365/13, 8525/258?

Answer: GCF of Numerators as per given numbers 365/13, 8525/258 is

GCF of Numerators i.e. for 365,8525 is 5

LCM of denominators i.e. for 13,258 is 3354.

Thus, GCF of Fractions is 5/3354.Finally, GCF of Fractions for 365/13, 8525/258 is 5/3354.