Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 191/58,920/77,227/60
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 191,920,227
Greatest Common Factor of Numerators i.e. GCF of 191,920,227 is 1 .
LCM of Denominators means LCM of 58,77,60 as per the given fractions.
LCM of 58,77,60 is 133980 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 191,920,227
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 191
List of positive integer factors of 191 that divides 191 without a remainder.
1,191
Factors of 920
List of positive integer factors of 920 that divides 920 without a remainder.
1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920
Factors of 227
List of positive integer factors of 227 that divides 227 without a remainder.
1,227
Greatest Common Factor
We found the factors 191,920,227 . The biggest common factor number is the GCF number.
So the greatest common factor 191,920,227 is 1.
Lets's calculate LCM of 58,77,60
2 | 58, 77, 60 |
29, 77, 30 |
∴ So the LCM of the given numbers is 2 x 29 x 77 x 30 = 133980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/133980
Therefore, the GCF of Fractions 191/58,920/77,227/60 is 1/133980
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 58,77,60 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,77,60) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(58,77,60) x common factors =1 x 2 = 2
LCM(58,77,60) = ( 58 × 77 × 60 ) / 2
LCM(58,77,60) = 267960 / 2
LCM(58,77,60) = 133980
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 191/58, 920/77, 227/60?
Answer: GCF of Numerators as per given numbers 191/58, 920/77, 227/60 is
GCF of Numerators i.e. for 191,920,227 is 1
LCM of denominators i.e. for 58,77,60 is 133980.
Thus, GCF of Fractions is 1/133980.Finally, GCF of Fractions for 191/58, 920/77, 227/60 is 1/133980.