Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3756/595,8793/5755
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 3756,8793
Greatest Common Factor of Numerators i.e. GCF of 3756,8793 is 3 .
LCM of Denominators means LCM of 595,5755 as per the given fractions.
LCM of 595,5755 is 684845 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3756,8793
3 | 3756, 8793 |
1252, 2931 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 3756
List of positive integer factors of 3756 that divides 3756 without a remainder.
1,2,3,4,6,12,313,626,939,1252,1878,3756
Factors of 8793
List of positive integer factors of 8793 that divides 8793 without a remainder.
1,3,9,977,2931,8793
Greatest Common Factor
We found the factors 3756,8793 . The biggest common factor number is the GCF number.
So the greatest common factor 3756,8793 is 3.
Lets's calculate LCM of 595,5755
5 | 595, 5755 |
119, 1151 |
∴ So the LCM of the given numbers is 5 x 119 x 1151 = 684845
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/684845
Therefore, the GCF of Fractions 3756/595,8793/5755 is 3/684845
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 595,5755 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(595,5755) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(595,5755) x common factors =5 x 1 = 5
LCM(595,5755) = ( 595 × 5755 ) / 5
LCM(595,5755) = 3424225 / 5
LCM(595,5755) = 684845
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 3756/595, 8793/5755?
Answer: GCF of Numerators as per given numbers 3756/595, 8793/5755 is
GCF of Numerators i.e. for 3756,8793 is 3
LCM of denominators i.e. for 595,5755 is 684845.
Thus, GCF of Fractions is 3/684845.Finally, GCF of Fractions for 3756/595, 8793/5755 is 3/684845.