Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 15/41,57/76,99/93,60/823
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 15,57,99,60
Greatest Common Factor of Numerators i.e. GCF of 15,57,99,60 is 3 .
LCM of Denominators means LCM of 41,76,93,823 as per the given fractions.
LCM of 41,76,93,823 is 238495524 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 15,57,99,60
3 | 15, 57, 99, 60 |
5, 19, 33, 20 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 57
List of positive integer factors of 57 that divides 57 without a remainder.
1,3,19,57
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
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
Greatest Common Factor
We found the factors 15,57,99,60 . The biggest common factor number is the GCF number.
So the greatest common factor 15,57,99,60 is 3.
Lets's calculate LCM of 41,76,93,823
Given numbers has no common factors except 1. So, there LCM is their product i.e 238495524
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/238495524
Therefore, the GCF of Fractions 15/41,57/76,99/93,60/823 is 3/238495524
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 41,76,93,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,76,93,823) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,76,93,823) x common factors =1 x 1 = 1
LCM(41,76,93,823) = ( 41 × 76 × 93 × 823 ) / 1
LCM(41,76,93,823) = 238495524 / 1
LCM(41,76,93,823) = 238495524
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 15/41, 57/76, 99/93, 60/823?
Answer: GCF of Numerators as per given numbers 15/41, 57/76, 99/93, 60/823 is
GCF of Numerators i.e. for 15,57,99,60 is 3
LCM of denominators i.e. for 41,76,93,823 is 238495524.
Thus, GCF of Fractions is 3/238495524.Finally, GCF of Fractions for 15/41, 57/76, 99/93, 60/823 is 3/238495524.