Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 186/94,375/230
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 186,375
Greatest Common Factor of Numerators i.e. GCF of 186,375 is 3 .
LCM of Denominators means LCM of 94,230 as per the given fractions.
LCM of 94,230 is 10810 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 186,375
3 | 186, 375 |
62, 125 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 186
List of positive integer factors of 186 that divides 186 without a remainder.
1,2,3,6,31,62,93,186
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 186,375 . The biggest common factor number is the GCF number.
So the greatest common factor 186,375 is 3.
Lets's calculate LCM of 94,230
2 | 94, 230 |
47, 115 |
∴ So the LCM of the given numbers is 2 x 47 x 115 = 10810
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/10810
Therefore, the GCF of Fractions 186/94,375/230 is 3/10810
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 94,230 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,230) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(94,230) x common factors =2 x 1 = 2
LCM(94,230) = ( 94 × 230 ) / 2
LCM(94,230) = 21620 / 2
LCM(94,230) = 10810
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 186/94, 375/230?
Answer: GCF of Numerators as per given numbers 186/94, 375/230 is
GCF of Numerators i.e. for 186,375 is 3
LCM of denominators i.e. for 94,230 is 10810.
Thus, GCF of Fractions is 3/10810.Finally, GCF of Fractions for 186/94, 375/230 is 3/10810.