Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3366/966,8503/6445
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 3366,8503
Greatest Common Factor of Numerators i.e. GCF of 3366,8503 is 11 .
LCM of Denominators means LCM of 966,6445 as per the given fractions.
LCM of 966,6445 is 6225870 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3366,8503
11 | 3366, 8503 |
306, 773 |
∴ So the GCF of the given numbers is 11 = 11
Factors of 3366
List of positive integer factors of 3366 that divides 3366 without a remainder.
1,2,3,6,9,11,17,18,22,33,34,51,66,99,102,153,187,198,306,374,561,1122,1683,3366
Factors of 8503
List of positive integer factors of 8503 that divides 8503 without a remainder.
1,11,773,8503
Greatest Common Factor
We found the factors 3366,8503 . The biggest common factor number is the GCF number.
So the greatest common factor 3366,8503 is 11.
Lets's calculate LCM of 966,6445
Given numbers has no common factors except 1. So, there LCM is their product i.e 6225870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/6225870
Therefore, the GCF of Fractions 3366/966,8503/6445 is 11/6225870
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 966,6445 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(966,6445) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(966,6445) x common factors =1 x 1 = 1
LCM(966,6445) = ( 966 × 6445 ) / 1
LCM(966,6445) = 6225870 / 1
LCM(966,6445) = 6225870
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 3366/966, 8503/6445?
Answer: GCF of Numerators as per given numbers 3366/966, 8503/6445 is
GCF of Numerators i.e. for 3366,8503 is 11
LCM of denominators i.e. for 966,6445 is 6225870.
Thus, GCF of Fractions is 11/6225870.Finally, GCF of Fractions for 3366/966, 8503/6445 is 11/6225870.