Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1513/937,8106/325
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 1513,8106
Greatest Common Factor of Numerators i.e. GCF of 1513,8106 is 1 .
LCM of Denominators means LCM of 937,325 as per the given fractions.
LCM of 937,325 is 304525 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1513,8106
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1513
List of positive integer factors of 1513 that divides 1513 without a remainder.
1,17,89,1513
Factors of 8106
List of positive integer factors of 8106 that divides 8106 without a remainder.
1,2,3,6,7,14,21,42,193,386,579,1158,1351,2702,4053,8106
Greatest Common Factor
We found the factors 1513,8106 . The biggest common factor number is the GCF number.
So the greatest common factor 1513,8106 is 1.
Lets's calculate LCM of 937,325
Given numbers has no common factors except 1. So, there LCM is their product i.e 304525
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/304525
Therefore, the GCF of Fractions 1513/937,8106/325 is 1/304525
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 937,325 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(937,325) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(937,325) x common factors =1 x 1 = 1
LCM(937,325) = ( 937 × 325 ) / 1
LCM(937,325) = 304525 / 1
LCM(937,325) = 304525
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 1513/937, 8106/325?
Answer: GCF of Numerators as per given numbers 1513/937, 8106/325 is
GCF of Numerators i.e. for 1513,8106 is 1
LCM of denominators i.e. for 937,325 is 304525.
Thus, GCF of Fractions is 1/304525.Finally, GCF of Fractions for 1513/937, 8106/325 is 1/304525.