Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 32/96,15/71,68/121
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 32,15,68
Greatest Common Factor of Numerators i.e. GCF of 32,15,68 is 1 .
LCM of Denominators means LCM of 96,71,121 as per the given fractions.
LCM of 96,71,121 is 824736 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 32,15,68
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Greatest Common Factor
We found the factors 32,15,68 . The biggest common factor number is the GCF number.
So the greatest common factor 32,15,68 is 1.
Lets's calculate LCM of 96,71,121
Given numbers has no common factors except 1. So, there LCM is their product i.e 824736
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/824736
Therefore, the GCF of Fractions 32/96,15/71,68/121 is 1/824736
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 96,71,121 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,71,121) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(96,71,121) x common factors =1 x 1 = 1
LCM(96,71,121) = ( 96 × 71 × 121 ) / 1
LCM(96,71,121) = 824736 / 1
LCM(96,71,121) = 824736
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 32/96, 15/71, 68/121?
Answer: GCF of Numerators as per given numbers 32/96, 15/71, 68/121 is
GCF of Numerators i.e. for 32,15,68 is 1
LCM of denominators i.e. for 96,71,121 is 824736.
Thus, GCF of Fractions is 1/824736.Finally, GCF of Fractions for 32/96, 15/71, 68/121 is 1/824736.