Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 416/89,192/85,365/356
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 416,192,365
Greatest Common Factor of Numerators i.e. GCF of 416,192,365 is 1 .
LCM of Denominators means LCM of 89,85,356 as per the given fractions.
LCM of 89,85,356 is 30260 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 416,192,365
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 416
List of positive integer factors of 416 that divides 416 without a remainder.
1,2,4,8,13,16,26,32,52,104,208,416
Factors of 192
List of positive integer factors of 192 that divides 192 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,64,96,192
Factors of 365
List of positive integer factors of 365 that divides 365 without a remainder.
1,5,73,365
Greatest Common Factor
We found the factors 416,192,365 . The biggest common factor number is the GCF number.
So the greatest common factor 416,192,365 is 1.
Lets's calculate LCM of 89,85,356
89 | 89, 85, 356 |
1, 85, 4 |
∴ So the LCM of the given numbers is 89 x 1 x 85 x 4 = 30260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30260
Therefore, the GCF of Fractions 416/89,192/85,365/356 is 1/30260
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 89,85,356 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,85,356) = 1
common factors(in case of two or more numbers have common factors) = 89
GCF(89,85,356) x common factors =1 x 89 = 89
LCM(89,85,356) = ( 89 × 85 × 356 ) / 89
LCM(89,85,356) = 2693140 / 89
LCM(89,85,356) = 30260
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 416/89, 192/85, 365/356?
Answer: GCF of Numerators as per given numbers 416/89, 192/85, 365/356 is
GCF of Numerators i.e. for 416,192,365 is 1
LCM of denominators i.e. for 89,85,356 is 30260.
Thus, GCF of Fractions is 1/30260.Finally, GCF of Fractions for 416/89, 192/85, 365/356 is 1/30260.