Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 89/17,48/24,60/37,98/13
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 89,48,60,98
Greatest Common Factor of Numerators i.e. GCF of 89,48,60,98 is 1 .
LCM of Denominators means LCM of 17,24,37,13 as per the given fractions.
LCM of 17,24,37,13 is 196248 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 89,48,60,98
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 89
List of positive integer factors of 89 that divides 89 without a remainder.
1,89
Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
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 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Greatest Common Factor
We found the factors 89,48,60,98 . The biggest common factor number is the GCF number.
So the greatest common factor 89,48,60,98 is 1.
Lets's calculate LCM of 17,24,37,13
Given numbers has no common factors except 1. So, there LCM is their product i.e 196248
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/196248
Therefore, the GCF of Fractions 89/17,48/24,60/37,98/13 is 1/196248
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 17,24,37,13 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,24,37,13) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(17,24,37,13) x common factors =1 x 1 = 1
LCM(17,24,37,13) = ( 17 × 24 × 37 × 13 ) / 1
LCM(17,24,37,13) = 196248 / 1
LCM(17,24,37,13) = 196248
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 89/17, 48/24, 60/37, 98/13?
Answer: GCF of Numerators as per given numbers 89/17, 48/24, 60/37, 98/13 is
GCF of Numerators i.e. for 89,48,60,98 is 1
LCM of denominators i.e. for 17,24,37,13 is 196248.
Thus, GCF of Fractions is 1/196248.Finally, GCF of Fractions for 89/17, 48/24, 60/37, 98/13 is 1/196248.