Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 110/21,215/75,350/17
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 110,215,350
Greatest Common Factor of Numerators i.e. GCF of 110,215,350 is 5 .
LCM of Denominators means LCM of 21,75,17 as per the given fractions.
LCM of 21,75,17 is 8925 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 110,215,350
5 | 110, 215, 350 |
22, 43, 70 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 110
List of positive integer factors of 110 that divides 110 without a remainder.
1,2,5,10,11,22,55,110
Factors of 215
List of positive integer factors of 215 that divides 215 without a remainder.
1,5,43,215
Factors of 350
List of positive integer factors of 350 that divides 350 without a remainder.
1,2,5,7,10,14,25,35,50,70,175,350
Greatest Common Factor
We found the factors 110,215,350 . The biggest common factor number is the GCF number.
So the greatest common factor 110,215,350 is 5.
Lets's calculate LCM of 21,75,17
3 | 21, 75, 17 |
7, 25, 17 |
∴ So the LCM of the given numbers is 3 x 7 x 25 x 17 = 8925
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/8925
Therefore, the GCF of Fractions 110/21,215/75,350/17 is 5/8925
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 21,75,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,75,17) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(21,75,17) x common factors =1 x 3 = 3
LCM(21,75,17) = ( 21 × 75 × 17 ) / 3
LCM(21,75,17) = 26775 / 3
LCM(21,75,17) = 8925
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 110/21, 215/75, 350/17?
Answer: GCF of Numerators as per given numbers 110/21, 215/75, 350/17 is
GCF of Numerators i.e. for 110,215,350 is 5
LCM of denominators i.e. for 21,75,17 is 8925.
Thus, GCF of Fractions is 5/8925.Finally, GCF of Fractions for 110/21, 215/75, 350/17 is 5/8925.