Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 93/73,80/48,375/438
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 93,80,375
Greatest Common Factor of Numerators i.e. GCF of 93,80,375 is 1 .
LCM of Denominators means LCM of 73,48,438 as per the given fractions.
LCM of 73,48,438 is 3504 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 93,80,375
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 375
List of positive integer factors of 375 that divides 375 without a remainder.
1,3,5,15,25,75,125,375
Greatest Common Factor
We found the factors 93,80,375 . The biggest common factor number is the GCF number.
So the greatest common factor 93,80,375 is 1.
Lets's calculate LCM of 73,48,438
2 | 73, 48, 438 |
3 | 73, 24, 219 |
73 | 73, 8, 73 |
1, 8, 1 |
∴ So the LCM of the given numbers is 2 x 3 x 73 x 1 x 8 x 1 = 3504
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3504
Therefore, the GCF of Fractions 93/73,80/48,375/438 is 1/3504
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 73,48,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,48,438) = 1
common factors(in case of two or more numbers have common factors) = 438
GCF(73,48,438) x common factors =1 x 438 = 438
LCM(73,48,438) = ( 73 × 48 × 438 ) / 438
LCM(73,48,438) = 1534752 / 438
LCM(73,48,438) = 3504
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 93/73, 80/48, 375/438?
Answer: GCF of Numerators as per given numbers 93/73, 80/48, 375/438 is
GCF of Numerators i.e. for 93,80,375 is 1
LCM of denominators i.e. for 73,48,438 is 3504.
Thus, GCF of Fractions is 1/3504.Finally, GCF of Fractions for 93/73, 80/48, 375/438 is 1/3504.