Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 11/36,89/16,48/56,29/50
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 11,89,48,29
Greatest Common Factor of Numerators i.e. GCF of 11,89,48,29 is 1 .
LCM of Denominators means LCM of 36,16,56,50 as per the given fractions.
LCM of 36,16,56,50 is 25200 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 11,89,48,29
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 11
List of positive integer factors of 11 that divides 11 without a remainder.
1,11
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 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Greatest Common Factor
We found the factors 11,89,48,29 . The biggest common factor number is the GCF number.
So the greatest common factor 11,89,48,29 is 1.
Lets's calculate LCM of 36,16,56,50
2 | 36, 16, 56, 50 |
2 | 18, 8, 28, 25 |
2 | 9, 4, 14, 25 |
9, 2, 7, 25 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 9 x 2 x 7 x 25 = 25200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25200
Therefore, the GCF of Fractions 11/36,89/16,48/56,29/50 is 1/25200
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 36,16,56,50 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,16,56,50) = 2
common factors(in case of two or more numbers have common factors) = 32
GCF(36,16,56,50) x common factors =2 x 32 = 64
LCM(36,16,56,50) = ( 36 × 16 × 56 × 50 ) / 64
LCM(36,16,56,50) = 1612800 / 64
LCM(36,16,56,50) = 25200
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 11/36, 89/16, 48/56, 29/50?
Answer: GCF of Numerators as per given numbers 11/36, 89/16, 48/56, 29/50 is
GCF of Numerators i.e. for 11,89,48,29 is 1
LCM of denominators i.e. for 36,16,56,50 is 25200.
Thus, GCF of Fractions is 1/25200.Finally, GCF of Fractions for 11/36, 89/16, 48/56, 29/50 is 1/25200.