Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 236/341,9664/784
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 236,9664
Greatest Common Factor of Numerators i.e. GCF of 236,9664 is 4 .
LCM of Denominators means LCM of 341,784 as per the given fractions.
LCM of 341,784 is 267344 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 236,9664
2 | 236, 9664 |
2 | 118, 4832 |
59, 2416 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 236
List of positive integer factors of 236 that divides 236 without a remainder.
1,2,4,59,118,236
Factors of 9664
List of positive integer factors of 9664 that divides 9664 without a remainder.
1,2,4,8,16,32,64,151,302,604,1208,2416,4832,9664
Greatest Common Factor
We found the factors 236,9664 . The biggest common factor number is the GCF number.
So the greatest common factor 236,9664 is 4.
Lets's calculate LCM of 341,784
Given numbers has no common factors except 1. So, there LCM is their product i.e 267344
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/267344
Therefore, the GCF of Fractions 236/341,9664/784 is 4/267344
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 341,784 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(341,784) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(341,784) x common factors =1 x 1 = 1
LCM(341,784) = ( 341 × 784 ) / 1
LCM(341,784) = 267344 / 1
LCM(341,784) = 267344
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 236/341, 9664/784?
Answer: GCF of Numerators as per given numbers 236/341, 9664/784 is
GCF of Numerators i.e. for 236,9664 is 4
LCM of denominators i.e. for 341,784 is 267344.
Thus, GCF of Fractions is 4/267344.Finally, GCF of Fractions for 236/341, 9664/784 is 4/267344.