Greatest Common Factor of 8365/262, 7345/7336

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8365/262, 7345/7336

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 8365/262,7345/7336

Given fractions are 8365/262,7345/7336

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 8365,7345

Greatest Common Factor of Numerators i.e. GCF of 8365,7345 is 5 .

LCM of Denominators means LCM of 262,7336 as per the given fractions.

LCM of 262,7336 is 7336 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8365,7345

GCF of Fractions 8365/262,7345/7336 is 5/7336

5 8365, 7345
1673, 1469

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

Greatest Common Factor of 8365,7345 By Matching Biggest Common Factor Method

Greatest Common Factor of 8365,7345 By Matching Biggest Common Factor Method

Factors of 8365

List of positive integer factors of 8365 that divides 8365 without a remainder.

1,5,7,35,239,1195,1673,8365

Factors of 7345

List of positive integer factors of 7345 that divides 7345 without a remainder.

1,5,13,65,113,565,1469,7345

Greatest Common Factor

We found the factors 8365,7345 . The biggest common factor number is the GCF number.
So the greatest common factor 8365,7345 is 5.

Lets's calculate LCM of 262,7336

2 262, 7336
131 131, 3668
1, 28

∴ So the LCM of the given numbers is 2 x 131 x 1 x 28 = 7336

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/7336

Therefore, the GCF of Fractions 8365/262,7345/7336 is 5/7336

Least Common Multiple of 262,7336 with GCF Formula

Least Common Multiple of 262,7336 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 262,7336 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(262,7336) = 262

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

GCF(262,7336) x common factors =262 x 1 = 262

LCM(262,7336) = ( 262 × 7336 ) / 262

LCM(262,7336) = 1922032 / 262

LCM(262,7336) = 7336


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 8365/262, 7345/7336

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 8365/262, 7345/7336?

Answer: GCF of Numerators as per given numbers 8365/262, 7345/7336 is

GCF of Numerators i.e. for 8365,7345 is 5

LCM of denominators i.e. for 262,7336 is 7336.

Thus, GCF of Fractions is 5/7336.Finally, GCF of Fractions for 8365/262, 7345/7336 is 5/7336.