Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 390/15,245/29,225/159
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 390,245,225
Greatest Common Factor of Numerators i.e. GCF of 390,245,225 is 5 .
LCM of Denominators means LCM of 15,29,159 as per the given fractions.
LCM of 15,29,159 is 23055 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 390,245,225
5 | 390, 245, 225 |
78, 49, 45 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 390
List of positive integer factors of 390 that divides 390 without a remainder.
1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390
Factors of 245
List of positive integer factors of 245 that divides 245 without a remainder.
1,5,7,35,49,245
Factors of 225
List of positive integer factors of 225 that divides 225 without a remainder.
1,3,5,9,15,25,45,75,225
Greatest Common Factor
We found the factors 390,245,225 . The biggest common factor number is the GCF number.
So the greatest common factor 390,245,225 is 5.
Lets's calculate LCM of 15,29,159
3 | 15, 29, 159 |
5, 29, 53 |
∴ So the LCM of the given numbers is 3 x 5 x 29 x 53 = 23055
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/23055
Therefore, the GCF of Fractions 390/15,245/29,225/159 is 5/23055
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 15,29,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,29,159) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(15,29,159) x common factors =1 x 3 = 3
LCM(15,29,159) = ( 15 × 29 × 159 ) / 3
LCM(15,29,159) = 69165 / 3
LCM(15,29,159) = 23055
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 390/15, 245/29, 225/159?
Answer: GCF of Numerators as per given numbers 390/15, 245/29, 225/159 is
GCF of Numerators i.e. for 390,245,225 is 5
LCM of denominators i.e. for 15,29,159 is 23055.
Thus, GCF of Fractions is 5/23055.Finally, GCF of Fractions for 390/15, 245/29, 225/159 is 5/23055.