Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9028/415,1266/589
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 9028,1266
Greatest Common Factor of Numerators i.e. GCF of 9028,1266 is 2 .
LCM of Denominators means LCM of 415,589 as per the given fractions.
LCM of 415,589 is 244435 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9028,1266
2 | 9028, 1266 |
4514, 633 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 9028
List of positive integer factors of 9028 that divides 9028 without a remainder.
1,2,4,37,61,74,122,148,244,2257,4514,9028
Factors of 1266
List of positive integer factors of 1266 that divides 1266 without a remainder.
1,2,3,6,211,422,633,1266
Greatest Common Factor
We found the factors 9028,1266 . The biggest common factor number is the GCF number.
So the greatest common factor 9028,1266 is 2.
Lets's calculate LCM of 415,589
Given numbers has no common factors except 1. So, there LCM is their product i.e 244435
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/244435
Therefore, the GCF of Fractions 9028/415,1266/589 is 2/244435
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 415,589 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(415,589) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(415,589) x common factors =1 x 1 = 1
LCM(415,589) = ( 415 × 589 ) / 1
LCM(415,589) = 244435 / 1
LCM(415,589) = 244435
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 9028/415, 1266/589?
Answer: GCF of Numerators as per given numbers 9028/415, 1266/589 is
GCF of Numerators i.e. for 9028,1266 is 2
LCM of denominators i.e. for 415,589 is 244435.
Thus, GCF of Fractions is 2/244435.Finally, GCF of Fractions for 9028/415, 1266/589 is 2/244435.