Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 48/136,112/971
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 48,112
Greatest Common Factor of Numerators i.e. GCF of 48,112 is 16 .
LCM of Denominators means LCM of 136,971 as per the given fractions.
LCM of 136,971 is 132056 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 48,112
2 | 48, 112 |
2 | 24, 56 |
2 | 12, 28 |
2 | 6, 14 |
3, 7 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
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 112
List of positive integer factors of 112 that divides 112 without a remainder.
1,2,4,7,8,14,16,28,56,112
Greatest Common Factor
We found the factors 48,112 . The biggest common factor number is the GCF number.
So the greatest common factor 48,112 is 16.
Lets's calculate LCM of 136,971
Given numbers has no common factors except 1. So, there LCM is their product i.e 132056
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/132056
Therefore, the GCF of Fractions 48/136,112/971 is 16/132056
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 136,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(136,971) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(136,971) x common factors =1 x 1 = 1
LCM(136,971) = ( 136 × 971 ) / 1
LCM(136,971) = 132056 / 1
LCM(136,971) = 132056
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 48/136, 112/971?
Answer: GCF of Numerators as per given numbers 48/136, 112/971 is
GCF of Numerators i.e. for 48,112 is 16
LCM of denominators i.e. for 136,971 is 132056.
Thus, GCF of Fractions is 16/132056.Finally, GCF of Fractions for 48/136, 112/971 is 16/132056.