Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 336/914,8244/351
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 336,8244
Greatest Common Factor of Numerators i.e. GCF of 336,8244 is 12 .
LCM of Denominators means LCM of 914,351 as per the given fractions.
LCM of 914,351 is 320814 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 336,8244
2 | 336, 8244 |
2 | 168, 4122 |
3 | 84, 2061 |
28, 687 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Factors of 336
List of positive integer factors of 336 that divides 336 without a remainder.
1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336
Factors of 8244
List of positive integer factors of 8244 that divides 8244 without a remainder.
1,2,3,4,6,9,12,18,36,229,458,687,916,1374,2061,2748,4122,8244
Greatest Common Factor
We found the factors 336,8244 . The biggest common factor number is the GCF number.
So the greatest common factor 336,8244 is 12.
Lets's calculate LCM of 914,351
Given numbers has no common factors except 1. So, there LCM is their product i.e 320814
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/320814
Therefore, the GCF of Fractions 336/914,8244/351 is 12/320814
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 914,351 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(914,351) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(914,351) x common factors =1 x 1 = 1
LCM(914,351) = ( 914 × 351 ) / 1
LCM(914,351) = 320814 / 1
LCM(914,351) = 320814
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 336/914, 8244/351?
Answer: GCF of Numerators as per given numbers 336/914, 8244/351 is
GCF of Numerators i.e. for 336,8244 is 12
LCM of denominators i.e. for 914,351 is 320814.
Thus, GCF of Fractions is 12/320814.Finally, GCF of Fractions for 336/914, 8244/351 is 12/320814.