Greatest Common Factor of 8386/813, 2354/1984

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8386/813, 2354/1984

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 8386/813,2354/1984

Given fractions are 8386/813,2354/1984

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 8386,2354

Greatest Common Factor of Numerators i.e. GCF of 8386,2354 is 2 .

LCM of Denominators means LCM of 813,1984 as per the given fractions.

LCM of 813,1984 is 1612992 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8386,2354

GCF of Fractions 8386/813,2354/1984 is 2/1612992

2 8386, 2354
4193, 1177

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 8386,2354 By Matching Biggest Common Factor Method

Greatest Common Factor of 8386,2354 By Matching Biggest Common Factor Method

Factors of 8386

List of positive integer factors of 8386 that divides 8386 without a remainder.

1,2,7,14,599,1198,4193,8386

Factors of 2354

List of positive integer factors of 2354 that divides 2354 without a remainder.

1,2,11,22,107,214,1177,2354

Greatest Common Factor

We found the factors 8386,2354 . The biggest common factor number is the GCF number.
So the greatest common factor 8386,2354 is 2.

Lets's calculate LCM of 813,1984

Given numbers has no common factors except 1. So, there LCM is their product i.e 1612992

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1612992

Therefore, the GCF of Fractions 8386/813,2354/1984 is 2/1612992

Least Common Multiple of 813,1984 with GCF Formula

Least Common Multiple of 813,1984 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 813,1984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(813,1984) = 1

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

GCF(813,1984) x common factors =1 x 1 = 1

LCM(813,1984) = ( 813 × 1984 ) / 1

LCM(813,1984) = 1612992 / 1

LCM(813,1984) = 1612992


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 8386/813, 2354/1984

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 8386/813, 2354/1984?

Answer: GCF of Numerators as per given numbers 8386/813, 2354/1984 is

GCF of Numerators i.e. for 8386,2354 is 2

LCM of denominators i.e. for 813,1984 is 1612992.

Thus, GCF of Fractions is 2/1612992.Finally, GCF of Fractions for 8386/813, 2354/1984 is 2/1612992.