Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 339/306,3963/746
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 339,3963
Greatest Common Factor of Numerators i.e. GCF of 339,3963 is 3 .
LCM of Denominators means LCM of 306,746 as per the given fractions.
LCM of 306,746 is 114138 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 339,3963
3 | 339, 3963 |
113, 1321 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 339
List of positive integer factors of 339 that divides 339 without a remainder.
1,3,113,339
Factors of 3963
List of positive integer factors of 3963 that divides 3963 without a remainder.
1,3,1321,3963
Greatest Common Factor
We found the factors 339,3963 . The biggest common factor number is the GCF number.
So the greatest common factor 339,3963 is 3.
Lets's calculate LCM of 306,746
2 | 306, 746 |
153, 373 |
∴ So the LCM of the given numbers is 2 x 153 x 373 = 114138
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/114138
Therefore, the GCF of Fractions 339/306,3963/746 is 3/114138
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 306,746 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(306,746) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(306,746) x common factors =2 x 1 = 2
LCM(306,746) = ( 306 × 746 ) / 2
LCM(306,746) = 228276 / 2
LCM(306,746) = 114138
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 339/306, 3963/746?
Answer: GCF of Numerators as per given numbers 339/306, 3963/746 is
GCF of Numerators i.e. for 339,3963 is 3
LCM of denominators i.e. for 306,746 is 114138.
Thus, GCF of Fractions is 3/114138.Finally, GCF of Fractions for 339/306, 3963/746 is 3/114138.