Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9045/543,4767/635
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 9045,4767
Greatest Common Factor of Numerators i.e. GCF of 9045,4767 is 3 .
LCM of Denominators means LCM of 543,635 as per the given fractions.
LCM of 543,635 is 344805 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9045,4767
3 | 9045, 4767 |
3015, 1589 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 9045
List of positive integer factors of 9045 that divides 9045 without a remainder.
1,3,5,9,15,27,45,67,135,201,335,603,1005,1809,3015,9045
Factors of 4767
List of positive integer factors of 4767 that divides 4767 without a remainder.
1,3,7,21,227,681,1589,4767
Greatest Common Factor
We found the factors 9045,4767 . The biggest common factor number is the GCF number.
So the greatest common factor 9045,4767 is 3.
Lets's calculate LCM of 543,635
Given numbers has no common factors except 1. So, there LCM is their product i.e 344805
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/344805
Therefore, the GCF of Fractions 9045/543,4767/635 is 3/344805
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 543,635 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(543,635) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(543,635) x common factors =1 x 1 = 1
LCM(543,635) = ( 543 × 635 ) / 1
LCM(543,635) = 344805 / 1
LCM(543,635) = 344805
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 9045/543, 4767/635?
Answer: GCF of Numerators as per given numbers 9045/543, 4767/635 is
GCF of Numerators i.e. for 9045,4767 is 3
LCM of denominators i.e. for 543,635 is 344805.
Thus, GCF of Fractions is 3/344805.Finally, GCF of Fractions for 9045/543, 4767/635 is 3/344805.