Greatest Common Factor of 423/190, 5347/104

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 423/190, 5347/104

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 423/190,5347/104

Given fractions are 423/190,5347/104

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 423,5347

Greatest Common Factor of Numerators i.e. GCF of 423,5347 is 1 .

LCM of Denominators means LCM of 190,104 as per the given fractions.

LCM of 190,104 is 9880 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 423,5347

GCF of Fractions 423/190,5347/104 is 1/9880

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

Greatest Common Factor of 423,5347 By Matching Biggest Common Factor Method

Greatest Common Factor of 423,5347 By Matching Biggest Common Factor Method

Factors of 423

List of positive integer factors of 423 that divides 423 without a remainder.

1,3,9,47,141,423

Factors of 5347

List of positive integer factors of 5347 that divides 5347 without a remainder.

1,5347

Greatest Common Factor

We found the factors 423,5347 . The biggest common factor number is the GCF number.
So the greatest common factor 423,5347 is 1.

Lets's calculate LCM of 190,104

2 190, 104
95, 52

∴ So the LCM of the given numbers is 2 x 95 x 52 = 9880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9880

Therefore, the GCF of Fractions 423/190,5347/104 is 1/9880

Least Common Multiple of 190,104 with GCF Formula

Least Common Multiple of 190,104 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 190,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(190,104) = 2

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

GCF(190,104) x common factors =2 x 1 = 2

LCM(190,104) = ( 190 × 104 ) / 2

LCM(190,104) = 19760 / 2

LCM(190,104) = 9880


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 423/190, 5347/104

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 423/190, 5347/104?

Answer: GCF of Numerators as per given numbers 423/190, 5347/104 is

GCF of Numerators i.e. for 423,5347 is 1

LCM of denominators i.e. for 190,104 is 9880.

Thus, GCF of Fractions is 1/9880.Finally, GCF of Fractions for 423/190, 5347/104 is 1/9880.