Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 81/654,29/193,212/592
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 81,29,212
Greatest Common Factor of Numerators i.e. GCF of 81,29,212 is 1 .
LCM of Denominators means LCM of 654,193,592 as per the given fractions.
LCM of 654,193,592 is 37361712 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 81,29,212
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 212
List of positive integer factors of 212 that divides 212 without a remainder.
1,2,4,53,106,212
Greatest Common Factor
We found the factors 81,29,212 . The biggest common factor number is the GCF number.
So the greatest common factor 81,29,212 is 1.
Lets's calculate LCM of 654,193,592
2 | 654, 193, 592 |
327, 193, 296 |
∴ So the LCM of the given numbers is 2 x 327 x 193 x 296 = 37361712
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37361712
Therefore, the GCF of Fractions 81/654,29/193,212/592 is 1/37361712
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 654,193,592 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(654,193,592) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(654,193,592) x common factors =1 x 2 = 2
LCM(654,193,592) = ( 654 × 193 × 592 ) / 2
LCM(654,193,592) = 74723424 / 2
LCM(654,193,592) = 37361712
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
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 81/654, 29/193, 212/592?
Answer: GCF of Numerators as per given numbers 81/654, 29/193, 212/592 is
GCF of Numerators i.e. for 81,29,212 is 1
LCM of denominators i.e. for 654,193,592 is 37361712.
Thus, GCF of Fractions is 1/37361712.Finally, GCF of Fractions for 81/654, 29/193, 212/592 is 1/37361712.