Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 38/15,72/81,96/51,72/152
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 38,72,96,72
Greatest Common Factor of Numerators i.e. GCF of 38,72,96,72 is 2 .
LCM of Denominators means LCM of 15,81,51,152 as per the given fractions.
LCM of 15,81,51,152 is 1046520 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 38,72,96,72
2 | 38, 72, 96, 72 |
19, 36, 48, 36 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Greatest Common Factor
We found the factors 38,72,96,72 . The biggest common factor number is the GCF number.
So the greatest common factor 38,72,96,72 is 2.
Lets's calculate LCM of 15,81,51,152
3 | 15, 81, 51, 152 |
5, 27, 17, 152 |
∴ So the LCM of the given numbers is 3 x 5 x 27 x 17 x 152 = 1046520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1046520
Therefore, the GCF of Fractions 38/15,72/81,96/51,72/152 is 2/1046520
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 15,81,51,152 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,81,51,152) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(15,81,51,152) x common factors =1 x 9 = 9
LCM(15,81,51,152) = ( 15 × 81 × 51 × 152 ) / 9
LCM(15,81,51,152) = 9418680 / 9
LCM(15,81,51,152) = 1046520
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 38/15, 72/81, 96/51, 72/152?
Answer: GCF of Numerators as per given numbers 38/15, 72/81, 96/51, 72/152 is
GCF of Numerators i.e. for 38,72,96,72 is 2
LCM of denominators i.e. for 15,81,51,152 is 1046520.
Thus, GCF of Fractions is 2/1046520.Finally, GCF of Fractions for 38/15, 72/81, 96/51, 72/152 is 2/1046520.