Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2343/13,5016/272
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 2343,5016
Greatest Common Factor of Numerators i.e. GCF of 2343,5016 is 33 .
LCM of Denominators means LCM of 13,272 as per the given fractions.
LCM of 13,272 is 3536 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2343,5016
3 | 2343, 5016 |
11 | 781, 1672 |
71, 152 |
∴ So the GCF of the given numbers is 3 x 11 = 33
Factors of 2343
List of positive integer factors of 2343 that divides 2343 without a remainder.
1,3,11,33,71,213,781,2343
Factors of 5016
List of positive integer factors of 5016 that divides 5016 without a remainder.
1,2,3,4,6,8,11,12,19,22,24,33,38,44,57,66,76,88,114,132,152,209,228,264,418,456,627,836,1254,1672,2508,5016
Greatest Common Factor
We found the factors 2343,5016 . The biggest common factor number is the GCF number.
So the greatest common factor 2343,5016 is 33.
Lets's calculate LCM of 13,272
Given numbers has no common factors except 1. So, there LCM is their product i.e 3536
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 33/3536
Therefore, the GCF of Fractions 2343/13,5016/272 is 33/3536
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 13,272 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,272) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(13,272) x common factors =1 x 1 = 1
LCM(13,272) = ( 13 × 272 ) / 1
LCM(13,272) = 3536 / 1
LCM(13,272) = 3536
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 2343/13, 5016/272?
Answer: GCF of Numerators as per given numbers 2343/13, 5016/272 is
GCF of Numerators i.e. for 2343,5016 is 33
LCM of denominators i.e. for 13,272 is 3536.
Thus, GCF of Fractions is 33/3536.Finally, GCF of Fractions for 2343/13, 5016/272 is 33/3536.