Greatest Common Factor of 3563/86, 4989/943

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3563/86, 4989/943

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 3563/86,4989/943

Given fractions are 3563/86,4989/943

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 3563,4989

Greatest Common Factor of Numerators i.e. GCF of 3563,4989 is 1 .

LCM of Denominators means LCM of 86,943 as per the given fractions.

LCM of 86,943 is 81098 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3563,4989

GCF of Fractions 3563/86,4989/943 is 1/81098

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

Greatest Common Factor of 3563,4989 By Matching Biggest Common Factor Method

Greatest Common Factor of 3563,4989 By Matching Biggest Common Factor Method

Factors of 3563

List of positive integer factors of 3563 that divides 3563 without a remainder.

1,7,509,3563

Factors of 4989

List of positive integer factors of 4989 that divides 4989 without a remainder.

1,3,1663,4989

Greatest Common Factor

We found the factors 3563,4989 . The biggest common factor number is the GCF number.
So the greatest common factor 3563,4989 is 1.

Lets's calculate LCM of 86,943

Given numbers has no common factors except 1. So, there LCM is their product i.e 81098

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/81098

Therefore, the GCF of Fractions 3563/86,4989/943 is 1/81098

Least Common Multiple of 86,943 with GCF Formula

Least Common Multiple of 86,943 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 86,943 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,943) = 1

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

GCF(86,943) x common factors =1 x 1 = 1

LCM(86,943) = ( 86 × 943 ) / 1

LCM(86,943) = 81098 / 1

LCM(86,943) = 81098


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 3563/86, 4989/943

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 3563/86, 4989/943?

Answer: GCF of Numerators as per given numbers 3563/86, 4989/943 is

GCF of Numerators i.e. for 3563,4989 is 1

LCM of denominators i.e. for 86,943 is 81098.

Thus, GCF of Fractions is 1/81098.Finally, GCF of Fractions for 3563/86, 4989/943 is 1/81098.