Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 88/39,27/63,60/64,66/91
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 88,27,60,66
Greatest Common Factor of Numerators i.e. GCF of 88,27,60,66 is 1 .
LCM of Denominators means LCM of 39,63,64,91 as per the given fractions.
LCM of 39,63,64,91 is 52416 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 88,27,60,66
∴ 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 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Greatest Common Factor
We found the factors 88,27,60,66 . The biggest common factor number is the GCF number.
So the greatest common factor 88,27,60,66 is 1.
Lets's calculate LCM of 39,63,64,91
3 | 39, 63, 64, 91 |
7 | 13, 21, 64, 91 |
13 | 13, 3, 64, 13 |
1, 3, 64, 1 |
∴ So the LCM of the given numbers is 3 x 7 x 13 x 1 x 3 x 64 x 1 = 52416
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52416
Therefore, the GCF of Fractions 88/39,27/63,60/64,66/91 is 1/52416
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 39,63,64,91 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,63,64,91) = 1
common factors(in case of two or more numbers have common factors) = 273
GCF(39,63,64,91) x common factors =1 x 273 = 273
LCM(39,63,64,91) = ( 39 × 63 × 64 × 91 ) / 273
LCM(39,63,64,91) = 14309568 / 273
LCM(39,63,64,91) = 52416
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 88/39, 27/63, 60/64, 66/91?
Answer: GCF of Numerators as per given numbers 88/39, 27/63, 60/64, 66/91 is
GCF of Numerators i.e. for 88,27,60,66 is 1
LCM of denominators i.e. for 39,63,64,91 is 52416.
Thus, GCF of Fractions is 1/52416.Finally, GCF of Fractions for 88/39, 27/63, 60/64, 66/91 is 1/52416.