Greatest Common Factor of 3343/822, 8682/113

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3343/822, 8682/113

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 3343/822,8682/113

Given fractions are 3343/822,8682/113

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 3343,8682

Greatest Common Factor of Numerators i.e. GCF of 3343,8682 is 1 .

LCM of Denominators means LCM of 822,113 as per the given fractions.

LCM of 822,113 is 92886 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3343,8682

GCF of Fractions 3343/822,8682/113 is 1/92886

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3343,8682 By Matching Biggest Common Factor Method

Greatest Common Factor of 3343,8682 By Matching Biggest Common Factor Method

Factors of 3343

List of positive integer factors of 3343 that divides 3343 without a remainder.

1,3343

Factors of 8682

List of positive integer factors of 8682 that divides 8682 without a remainder.

1,2,3,6,1447,2894,4341,8682

Greatest Common Factor

We found the factors 3343,8682 . The biggest common factor number is the GCF number.
So the greatest common factor 3343,8682 is 1.

Lets's calculate LCM of 822,113

Given numbers has no common factors except 1. So, there LCM is their product i.e 92886

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/92886

Therefore, the GCF of Fractions 3343/822,8682/113 is 1/92886

Least Common Multiple of 822,113 with GCF Formula

Least Common Multiple of 822,113 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 822,113 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(822,113) = 1

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

GCF(822,113) x common factors =1 x 1 = 1

LCM(822,113) = ( 822 × 113 ) / 1

LCM(822,113) = 92886 / 1

LCM(822,113) = 92886


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 3343/822, 8682/113

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 3343/822, 8682/113?

Answer: GCF of Numerators as per given numbers 3343/822, 8682/113 is

GCF of Numerators i.e. for 3343,8682 is 1

LCM of denominators i.e. for 822,113 is 92886.

Thus, GCF of Fractions is 1/92886.Finally, GCF of Fractions for 3343/822, 8682/113 is 1/92886.