Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 186/98,396/54,478/12
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 186,396,478
Greatest Common Factor of Numerators i.e. GCF of 186,396,478 is 2 .
LCM of Denominators means LCM of 98,54,12 as per the given fractions.
LCM of 98,54,12 is 5292 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 186,396,478
2 | 186, 396, 478 |
93, 198, 239 |
∴ So the GCF of the given numbers is 2 = 2
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 396
List of positive integer factors of 396 that divides 396 without a remainder.
1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396
Factors of 478
List of positive integer factors of 478 that divides 478 without a remainder.
1,2,239,478
Greatest Common Factor
We found the factors 186,396,478 . The biggest common factor number is the GCF number.
So the greatest common factor 186,396,478 is 2.
Lets's calculate LCM of 98,54,12
2 | 98, 54, 12 |
3 | 49, 27, 6 |
49, 9, 2 |
∴ So the LCM of the given numbers is 2 x 3 x 49 x 9 x 2 = 5292
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5292
Therefore, the GCF of Fractions 186/98,396/54,478/12 is 2/5292
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 98,54,12 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,54,12) = 2
common factors(in case of two or more numbers have common factors) = 6
GCF(98,54,12) x common factors =2 x 6 = 12
LCM(98,54,12) = ( 98 × 54 × 12 ) / 12
LCM(98,54,12) = 63504 / 12
LCM(98,54,12) = 5292
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 186/98, 396/54, 478/12?
Answer: GCF of Numerators as per given numbers 186/98, 396/54, 478/12 is
GCF of Numerators i.e. for 186,396,478 is 2
LCM of denominators i.e. for 98,54,12 is 5292.
Thus, GCF of Fractions is 2/5292.Finally, GCF of Fractions for 186/98, 396/54, 478/12 is 2/5292.