Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 315/17,207/33,150/155
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 315,207,150
Greatest Common Factor of Numerators i.e. GCF of 315,207,150 is 3 .
LCM of Denominators means LCM of 17,33,155 as per the given fractions.
LCM of 17,33,155 is 86955 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 315,207,150
3 | 315, 207, 150 |
105, 69, 50 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 315
List of positive integer factors of 315 that divides 315 without a remainder.
1,3,5,7,9,15,21,35,45,63,105,315
Factors of 207
List of positive integer factors of 207 that divides 207 without a remainder.
1,3,9,23,69,207
Factors of 150
List of positive integer factors of 150 that divides 150 without a remainder.
1,2,3,5,6,10,15,25,30,50,75,150
Greatest Common Factor
We found the factors 315,207,150 . The biggest common factor number is the GCF number.
So the greatest common factor 315,207,150 is 3.
Lets's calculate LCM of 17,33,155
Given numbers has no common factors except 1. So, there LCM is their product i.e 86955
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/86955
Therefore, the GCF of Fractions 315/17,207/33,150/155 is 3/86955
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 17,33,155 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,33,155) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(17,33,155) x common factors =1 x 1 = 1
LCM(17,33,155) = ( 17 × 33 × 155 ) / 1
LCM(17,33,155) = 86955 / 1
LCM(17,33,155) = 86955
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 315/17, 207/33, 150/155?
Answer: GCF of Numerators as per given numbers 315/17, 207/33, 150/155 is
GCF of Numerators i.e. for 315,207,150 is 3
LCM of denominators i.e. for 17,33,155 is 86955.
Thus, GCF of Fractions is 3/86955.Finally, GCF of Fractions for 315/17, 207/33, 150/155 is 3/86955.