Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3745/35,4845/943
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 3745,4845
Greatest Common Factor of Numerators i.e. GCF of 3745,4845 is 5 .
LCM of Denominators means LCM of 35,943 as per the given fractions.
LCM of 35,943 is 33005 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3745,4845
5 | 3745, 4845 |
749, 969 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 3745
List of positive integer factors of 3745 that divides 3745 without a remainder.
1,5,7,35,107,535,749,3745
Factors of 4845
List of positive integer factors of 4845 that divides 4845 without a remainder.
1,3,5,15,17,19,51,57,85,95,255,285,323,969,1615,4845
Greatest Common Factor
We found the factors 3745,4845 . The biggest common factor number is the GCF number.
So the greatest common factor 3745,4845 is 5.
Lets's calculate LCM of 35,943
Given numbers has no common factors except 1. So, there LCM is their product i.e 33005
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/33005
Therefore, the GCF of Fractions 3745/35,4845/943 is 5/33005
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 35,943 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,943) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(35,943) x common factors =1 x 1 = 1
LCM(35,943) = ( 35 × 943 ) / 1
LCM(35,943) = 33005 / 1
LCM(35,943) = 33005
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 3745/35, 4845/943?
Answer: GCF of Numerators as per given numbers 3745/35, 4845/943 is
GCF of Numerators i.e. for 3745,4845 is 5
LCM of denominators i.e. for 35,943 is 33005.
Thus, GCF of Fractions is 5/33005.Finally, GCF of Fractions for 3745/35, 4845/943 is 5/33005.