Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3824/23,1060/383
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 3824,1060
Greatest Common Factor of Numerators i.e. GCF of 3824,1060 is 4 .
LCM of Denominators means LCM of 23,383 as per the given fractions.
LCM of 23,383 is 8809 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3824,1060
2 | 3824, 1060 |
2 | 1912, 530 |
956, 265 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 3824
List of positive integer factors of 3824 that divides 3824 without a remainder.
1,2,4,8,16,239,478,956,1912,3824
Factors of 1060
List of positive integer factors of 1060 that divides 1060 without a remainder.
1,2,4,5,10,20,53,106,212,265,530,1060
Greatest Common Factor
We found the factors 3824,1060 . The biggest common factor number is the GCF number.
So the greatest common factor 3824,1060 is 4.
Lets's calculate LCM of 23,383
Given numbers has no common factors except 1. So, there LCM is their product i.e 8809
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/8809
Therefore, the GCF of Fractions 3824/23,1060/383 is 4/8809
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 23,383 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,383) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(23,383) x common factors =1 x 1 = 1
LCM(23,383) = ( 23 × 383 ) / 1
LCM(23,383) = 8809 / 1
LCM(23,383) = 8809
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 3824/23, 1060/383?
Answer: GCF of Numerators as per given numbers 3824/23, 1060/383 is
GCF of Numerators i.e. for 3824,1060 is 4
LCM of denominators i.e. for 23,383 is 8809.
Thus, GCF of Fractions is 4/8809.Finally, GCF of Fractions for 3824/23, 1060/383 is 4/8809.