Greatest Common Factor of 8335/82, 9550/796

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8335/82, 9550/796

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 8335/82,9550/796

Given fractions are 8335/82,9550/796

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 8335,9550

Greatest Common Factor of Numerators i.e. GCF of 8335,9550 is 5 .

LCM of Denominators means LCM of 82,796 as per the given fractions.

LCM of 82,796 is 32636 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8335,9550

GCF of Fractions 8335/82,9550/796 is 5/32636

5 8335, 9550
1667, 1910

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

Greatest Common Factor of 8335,9550 By Matching Biggest Common Factor Method

Greatest Common Factor of 8335,9550 By Matching Biggest Common Factor Method

Factors of 8335

List of positive integer factors of 8335 that divides 8335 without a remainder.

1,5,1667,8335

Factors of 9550

List of positive integer factors of 9550 that divides 9550 without a remainder.

1,2,5,10,25,50,191,382,955,1910,4775,9550

Greatest Common Factor

We found the factors 8335,9550 . The biggest common factor number is the GCF number.
So the greatest common factor 8335,9550 is 5.

Lets's calculate LCM of 82,796

2 82, 796
41, 398

∴ So the LCM of the given numbers is 2 x 41 x 398 = 32636

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/32636

Therefore, the GCF of Fractions 8335/82,9550/796 is 5/32636

Least Common Multiple of 82,796 with GCF Formula

Least Common Multiple of 82,796 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 82,796 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,796) = 2

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

GCF(82,796) x common factors =2 x 1 = 2

LCM(82,796) = ( 82 × 796 ) / 2

LCM(82,796) = 65272 / 2

LCM(82,796) = 32636


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 8335/82, 9550/796

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 8335/82, 9550/796?

Answer: GCF of Numerators as per given numbers 8335/82, 9550/796 is

GCF of Numerators i.e. for 8335,9550 is 5

LCM of denominators i.e. for 82,796 is 32636.

Thus, GCF of Fractions is 5/32636.Finally, GCF of Fractions for 8335/82, 9550/796 is 5/32636.