Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 505/25,441/7328
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 505,441
Greatest Common Factor of Numerators i.e. GCF of 505,441 is 1 .
LCM of Denominators means LCM of 25,7328 as per the given fractions.
LCM of 25,7328 is 183200 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 505,441
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 505
List of positive integer factors of 505 that divides 505 without a remainder.
1,5,101,505
Factors of 441
List of positive integer factors of 441 that divides 441 without a remainder.
1,3,7,9,21,49,63,147,441
Greatest Common Factor
We found the factors 505,441 . The biggest common factor number is the GCF number.
So the greatest common factor 505,441 is 1.
Lets's calculate LCM of 25,7328
Given numbers has no common factors except 1. So, there LCM is their product i.e 183200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/183200
Therefore, the GCF of Fractions 505/25,441/7328 is 1/183200
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 25,7328 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,7328) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(25,7328) x common factors =1 x 1 = 1
LCM(25,7328) = ( 25 × 7328 ) / 1
LCM(25,7328) = 183200 / 1
LCM(25,7328) = 183200
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 505/25, 441/7328?
Answer: GCF of Numerators as per given numbers 505/25, 441/7328 is
GCF of Numerators i.e. for 505,441 is 1
LCM of denominators i.e. for 25,7328 is 183200.
Thus, GCF of Fractions is 1/183200.Finally, GCF of Fractions for 505/25, 441/7328 is 1/183200.