Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 614/72,344/39,225/238
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 614,344,225
Greatest Common Factor of Numerators i.e. GCF of 614,344,225 is 1 .
LCM of Denominators means LCM of 72,39,238 as per the given fractions.
LCM of 72,39,238 is 111384 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 614,344,225
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 614
List of positive integer factors of 614 that divides 614 without a remainder.
1,2,307,614
Factors of 344
List of positive integer factors of 344 that divides 344 without a remainder.
1,2,4,8,43,86,172,344
Factors of 225
List of positive integer factors of 225 that divides 225 without a remainder.
1,3,5,9,15,25,45,75,225
Greatest Common Factor
We found the factors 614,344,225 . The biggest common factor number is the GCF number.
So the greatest common factor 614,344,225 is 1.
Lets's calculate LCM of 72,39,238
2 | 72, 39, 238 |
3 | 36, 39, 119 |
12, 13, 119 |
∴ So the LCM of the given numbers is 2 x 3 x 12 x 13 x 119 = 111384
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/111384
Therefore, the GCF of Fractions 614/72,344/39,225/238 is 1/111384
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 72,39,238 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,39,238) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(72,39,238) x common factors =1 x 6 = 6
LCM(72,39,238) = ( 72 × 39 × 238 ) / 6
LCM(72,39,238) = 668304 / 6
LCM(72,39,238) = 111384
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 614/72, 344/39, 225/238?
Answer: GCF of Numerators as per given numbers 614/72, 344/39, 225/238 is
GCF of Numerators i.e. for 614,344,225 is 1
LCM of denominators i.e. for 72,39,238 is 111384.
Thus, GCF of Fractions is 1/111384.Finally, GCF of Fractions for 614/72, 344/39, 225/238 is 1/111384.