Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 88/84,23/99,57/68,191/17
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 88,23,57,191
Greatest Common Factor of Numerators i.e. GCF of 88,23,57,191 is 1 .
LCM of Denominators means LCM of 84,99,68,17 as per the given fractions.
LCM of 84,99,68,17 is 47124 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 88,23,57,191
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 23
List of positive integer factors of 23 that divides 23 without a remainder.
1,23
Factors of 57
List of positive integer factors of 57 that divides 57 without a remainder.
1,3,19,57
Factors of 191
List of positive integer factors of 191 that divides 191 without a remainder.
1,191
Greatest Common Factor
We found the factors 88,23,57,191 . The biggest common factor number is the GCF number.
So the greatest common factor 88,23,57,191 is 1.
Lets's calculate LCM of 84,99,68,17
2 | 84, 99, 68, 17 |
2 | 42, 99, 34, 17 |
3 | 21, 99, 17, 17 |
17 | 7, 33, 17, 17 |
7, 33, 1, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 7 x 33 x 1 x 1 = 47124
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47124
Therefore, the GCF of Fractions 88/84,23/99,57/68,191/17 is 1/47124
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 84,99,68,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,99,68,17) = 1
common factors(in case of two or more numbers have common factors) = 204
GCF(84,99,68,17) x common factors =1 x 204 = 204
LCM(84,99,68,17) = ( 84 × 99 × 68 × 17 ) / 204
LCM(84,99,68,17) = 9613296 / 204
LCM(84,99,68,17) = 47124
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 88/84, 23/99, 57/68, 191/17?
Answer: GCF of Numerators as per given numbers 88/84, 23/99, 57/68, 191/17 is
GCF of Numerators i.e. for 88,23,57,191 is 1
LCM of denominators i.e. for 84,99,68,17 is 47124.
Thus, GCF of Fractions is 1/47124.Finally, GCF of Fractions for 88/84, 23/99, 57/68, 191/17 is 1/47124.