Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 97/48,12/40,850/17
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 97,12,850
Greatest Common Factor of Numerators i.e. GCF of 97,12,850 is 1 .
LCM of Denominators means LCM of 48,40,17 as per the given fractions.
LCM of 48,40,17 is 4080 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 97,12,850
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 97
List of positive integer factors of 97 that divides 97 without a remainder.
1,97
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 850
List of positive integer factors of 850 that divides 850 without a remainder.
1,2,5,10,17,25,34,50,85,170,425,850
Greatest Common Factor
We found the factors 97,12,850 . The biggest common factor number is the GCF number.
So the greatest common factor 97,12,850 is 1.
Lets's calculate LCM of 48,40,17
2 | 48, 40, 17 |
2 | 24, 20, 17 |
2 | 12, 10, 17 |
6, 5, 17 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 6 x 5 x 17 = 4080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4080
Therefore, the GCF of Fractions 97/48,12/40,850/17 is 1/4080
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 48,40,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(48,40,17) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(48,40,17) x common factors =1 x 8 = 8
LCM(48,40,17) = ( 48 × 40 × 17 ) / 8
LCM(48,40,17) = 32640 / 8
LCM(48,40,17) = 4080
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 97/48, 12/40, 850/17?
Answer: GCF of Numerators as per given numbers 97/48, 12/40, 850/17 is
GCF of Numerators i.e. for 97,12,850 is 1
LCM of denominators i.e. for 48,40,17 is 4080.
Thus, GCF of Fractions is 1/4080.Finally, GCF of Fractions for 97/48, 12/40, 850/17 is 1/4080.