Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 385/33,269/39,984/405
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 385,269,984
Greatest Common Factor of Numerators i.e. GCF of 385,269,984 is 1 .
LCM of Denominators means LCM of 33,39,405 as per the given fractions.
LCM of 33,39,405 is 57915 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 385,269,984
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 385
List of positive integer factors of 385 that divides 385 without a remainder.
1,5,7,11,35,55,77,385
Factors of 269
List of positive integer factors of 269 that divides 269 without a remainder.
1,269
Factors of 984
List of positive integer factors of 984 that divides 984 without a remainder.
1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984
Greatest Common Factor
We found the factors 385,269,984 . The biggest common factor number is the GCF number.
So the greatest common factor 385,269,984 is 1.
Lets's calculate LCM of 33,39,405
3 | 33, 39, 405 |
11, 13, 135 |
∴ So the LCM of the given numbers is 3 x 11 x 13 x 135 = 57915
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/57915
Therefore, the GCF of Fractions 385/33,269/39,984/405 is 1/57915
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 33,39,405 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,39,405) = 3
common factors(in case of two or more numbers have common factors) = 3
GCF(33,39,405) x common factors =3 x 3 = 9
LCM(33,39,405) = ( 33 × 39 × 405 ) / 9
LCM(33,39,405) = 521235 / 9
LCM(33,39,405) = 57915
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 385/33, 269/39, 984/405?
Answer: GCF of Numerators as per given numbers 385/33, 269/39, 984/405 is
GCF of Numerators i.e. for 385,269,984 is 1
LCM of denominators i.e. for 33,39,405 is 57915.
Thus, GCF of Fractions is 1/57915.Finally, GCF of Fractions for 385/33, 269/39, 984/405 is 1/57915.