Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8/96,2/17,15/89,99/623
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 8,2,15,99
Greatest Common Factor of Numerators i.e. GCF of 8,2,15,99 is 1 .
LCM of Denominators means LCM of 96,17,89,623 as per the given fractions.
LCM of 96,17,89,623 is 1016736 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8,2,15,99
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8
List of positive integer factors of 8 that divides 8 without a remainder.
1,2,4,8
Factors of 2
List of positive integer factors of 2 that divides 2 without a remainder.
1,2
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Greatest Common Factor
We found the factors 8,2,15,99 . The biggest common factor number is the GCF number.
So the greatest common factor 8,2,15,99 is 1.
Lets's calculate LCM of 96,17,89,623
89 | 96, 17, 89, 623 |
96, 17, 1, 7 |
∴ So the LCM of the given numbers is 89 x 96 x 17 x 1 x 7 = 1016736
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1016736
Therefore, the GCF of Fractions 8/96,2/17,15/89,99/623 is 1/1016736
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 96,17,89,623 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,17,89,623) = 1
common factors(in case of two or more numbers have common factors) = 89
GCF(96,17,89,623) x common factors =1 x 89 = 89
LCM(96,17,89,623) = ( 96 × 17 × 89 × 623 ) / 89
LCM(96,17,89,623) = 90489504 / 89
LCM(96,17,89,623) = 1016736
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 8/96, 2/17, 15/89, 99/623?
Answer: GCF of Numerators as per given numbers 8/96, 2/17, 15/89, 99/623 is
GCF of Numerators i.e. for 8,2,15,99 is 1
LCM of denominators i.e. for 96,17,89,623 is 1016736.
Thus, GCF of Fractions is 1/1016736.Finally, GCF of Fractions for 8/96, 2/17, 15/89, 99/623 is 1/1016736.