Greatest Common Factor of 4093/362, 4461/986

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4093/362, 4461/986

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 4093/362,4461/986

Given fractions are 4093/362,4461/986

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 4093,4461

Greatest Common Factor of Numerators i.e. GCF of 4093,4461 is 1 .

LCM of Denominators means LCM of 362,986 as per the given fractions.

LCM of 362,986 is 178466 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4093,4461

GCF of Fractions 4093/362,4461/986 is 1/178466

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

Greatest Common Factor of 4093,4461 By Matching Biggest Common Factor Method

Greatest Common Factor of 4093,4461 By Matching Biggest Common Factor Method

Factors of 4093

List of positive integer factors of 4093 that divides 4093 without a remainder.

1,4093

Factors of 4461

List of positive integer factors of 4461 that divides 4461 without a remainder.

1,3,1487,4461

Greatest Common Factor

We found the factors 4093,4461 . The biggest common factor number is the GCF number.
So the greatest common factor 4093,4461 is 1.

Lets's calculate LCM of 362,986

2 362, 986
181, 493

∴ So the LCM of the given numbers is 2 x 181 x 493 = 178466

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/178466

Therefore, the GCF of Fractions 4093/362,4461/986 is 1/178466

Least Common Multiple of 362,986 with GCF Formula

Least Common Multiple of 362,986 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 362,986 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(362,986) = 2

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

GCF(362,986) x common factors =2 x 1 = 2

LCM(362,986) = ( 362 × 986 ) / 2

LCM(362,986) = 356932 / 2

LCM(362,986) = 178466


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 4093/362, 4461/986

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 4093/362, 4461/986?

Answer: GCF of Numerators as per given numbers 4093/362, 4461/986 is

GCF of Numerators i.e. for 4093,4461 is 1

LCM of denominators i.e. for 362,986 is 178466.

Thus, GCF of Fractions is 1/178466.Finally, GCF of Fractions for 4093/362, 4461/986 is 1/178466.