Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5533/229,5947/4526
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 5533,5947
Greatest Common Factor of Numerators i.e. GCF of 5533,5947 is 1 .
LCM of Denominators means LCM of 229,4526 as per the given fractions.
LCM of 229,4526 is 1036454 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5533,5947
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5533
List of positive integer factors of 5533 that divides 5533 without a remainder.
1,11,503,5533
Factors of 5947
List of positive integer factors of 5947 that divides 5947 without a remainder.
1,19,313,5947
Greatest Common Factor
We found the factors 5533,5947 . The biggest common factor number is the GCF number.
So the greatest common factor 5533,5947 is 1.
Lets's calculate LCM of 229,4526
Given numbers has no common factors except 1. So, there LCM is their product i.e 1036454
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1036454
Therefore, the GCF of Fractions 5533/229,5947/4526 is 1/1036454
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 229,4526 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(229,4526) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(229,4526) x common factors =1 x 1 = 1
LCM(229,4526) = ( 229 × 4526 ) / 1
LCM(229,4526) = 1036454 / 1
LCM(229,4526) = 1036454
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 5533/229, 5947/4526?
Answer: GCF of Numerators as per given numbers 5533/229, 5947/4526 is
GCF of Numerators i.e. for 5533,5947 is 1
LCM of denominators i.e. for 229,4526 is 1036454.
Thus, GCF of Fractions is 1/1036454.Finally, GCF of Fractions for 5533/229, 5947/4526 is 1/1036454.