Greatest Common Factor of 104/86, 223/1421

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 104/86, 223/1421

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 104/86,223/1421

Given fractions are 104/86,223/1421

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 104,223

Greatest Common Factor of Numerators i.e. GCF of 104,223 is 1 .

LCM of Denominators means LCM of 86,1421 as per the given fractions.

LCM of 86,1421 is 122206 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 104,223

GCF of Fractions 104/86,223/1421 is 1/122206

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

Greatest Common Factor of 104,223 By Matching Biggest Common Factor Method

Greatest Common Factor of 104,223 By Matching Biggest Common Factor Method

Factors of 104

List of positive integer factors of 104 that divides 104 without a remainder.

1,2,4,8,13,26,52,104

Factors of 223

List of positive integer factors of 223 that divides 223 without a remainder.

1,223

Greatest Common Factor

We found the factors 104,223 . The biggest common factor number is the GCF number.
So the greatest common factor 104,223 is 1.

Lets's calculate LCM of 86,1421

Given numbers has no common factors except 1. So, there LCM is their product i.e 122206

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/122206

Therefore, the GCF of Fractions 104/86,223/1421 is 1/122206

Least Common Multiple of 86,1421 with GCF Formula

Least Common Multiple of 86,1421 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 86,1421 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,1421) = 1

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

GCF(86,1421) x common factors =1 x 1 = 1

LCM(86,1421) = ( 86 × 1421 ) / 1

LCM(86,1421) = 122206 / 1

LCM(86,1421) = 122206


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 104/86, 223/1421

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 104/86, 223/1421?

Answer: GCF of Numerators as per given numbers 104/86, 223/1421 is

GCF of Numerators i.e. for 104,223 is 1

LCM of denominators i.e. for 86,1421 is 122206.

Thus, GCF of Fractions is 1/122206.Finally, GCF of Fractions for 104/86, 223/1421 is 1/122206.