Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 13/225,5224/5083
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 13,5224
Greatest Common Factor of Numerators i.e. GCF of 13,5224 is 1 .
LCM of Denominators means LCM of 225,5083 as per the given fractions.
LCM of 225,5083 is 1143675 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 13,5224
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 5224
List of positive integer factors of 5224 that divides 5224 without a remainder.
1,2,4,8,653,1306,2612,5224
Greatest Common Factor
We found the factors 13,5224 . The biggest common factor number is the GCF number.
So the greatest common factor 13,5224 is 1.
Lets's calculate LCM of 225,5083
Given numbers has no common factors except 1. So, there LCM is their product i.e 1143675
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1143675
Therefore, the GCF of Fractions 13/225,5224/5083 is 1/1143675
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 225,5083 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(225,5083) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(225,5083) x common factors =1 x 1 = 1
LCM(225,5083) = ( 225 × 5083 ) / 1
LCM(225,5083) = 1143675 / 1
LCM(225,5083) = 1143675
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 13/225, 5224/5083?
Answer: GCF of Numerators as per given numbers 13/225, 5224/5083 is
GCF of Numerators i.e. for 13,5224 is 1
LCM of denominators i.e. for 225,5083 is 1143675.
Thus, GCF of Fractions is 1/1143675.Finally, GCF of Fractions for 13/225, 5224/5083 is 1/1143675.