Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3604/838,2330/238
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 3604,2330
Greatest Common Factor of Numerators i.e. GCF of 3604,2330 is 2 .
LCM of Denominators means LCM of 838,238 as per the given fractions.
LCM of 838,238 is 99722 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3604,2330
2 | 3604, 2330 |
1802, 1165 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 3604
List of positive integer factors of 3604 that divides 3604 without a remainder.
1,2,4,17,34,53,68,106,212,901,1802,3604
Factors of 2330
List of positive integer factors of 2330 that divides 2330 without a remainder.
1,2,5,10,233,466,1165,2330
Greatest Common Factor
We found the factors 3604,2330 . The biggest common factor number is the GCF number.
So the greatest common factor 3604,2330 is 2.
Lets's calculate LCM of 838,238
2 | 838, 238 |
419, 119 |
∴ So the LCM of the given numbers is 2 x 419 x 119 = 99722
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/99722
Therefore, the GCF of Fractions 3604/838,2330/238 is 2/99722
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 838,238 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(838,238) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(838,238) x common factors =2 x 1 = 2
LCM(838,238) = ( 838 × 238 ) / 2
LCM(838,238) = 199444 / 2
LCM(838,238) = 99722
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 3604/838, 2330/238?
Answer: GCF of Numerators as per given numbers 3604/838, 2330/238 is
GCF of Numerators i.e. for 3604,2330 is 2
LCM of denominators i.e. for 838,238 is 99722.
Thus, GCF of Fractions is 2/99722.Finally, GCF of Fractions for 3604/838, 2330/238 is 2/99722.