Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 328/3390,168/4391
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 328,168
Greatest Common Factor of Numerators i.e. GCF of 328,168 is 8 .
LCM of Denominators means LCM of 3390,4391 as per the given fractions.
LCM of 3390,4391 is 14885490 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 328,168
2 | 328, 168 |
2 | 164, 84 |
2 | 82, 42 |
41, 21 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Factors of 328
List of positive integer factors of 328 that divides 328 without a remainder.
1,2,4,8,41,82,164,328
Factors of 168
List of positive integer factors of 168 that divides 168 without a remainder.
1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168
Greatest Common Factor
We found the factors 328,168 . The biggest common factor number is the GCF number.
So the greatest common factor 328,168 is 8.
Lets's calculate LCM of 3390,4391
Given numbers has no common factors except 1. So, there LCM is their product i.e 14885490
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/14885490
Therefore, the GCF of Fractions 328/3390,168/4391 is 8/14885490
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 3390,4391 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3390,4391) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3390,4391) x common factors =1 x 1 = 1
LCM(3390,4391) = ( 3390 × 4391 ) / 1
LCM(3390,4391) = 14885490 / 1
LCM(3390,4391) = 14885490
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 328/3390, 168/4391?
Answer: GCF of Numerators as per given numbers 328/3390, 168/4391 is
GCF of Numerators i.e. for 328,168 is 8
LCM of denominators i.e. for 3390,4391 is 14885490.
Thus, GCF of Fractions is 8/14885490.Finally, GCF of Fractions for 328/3390, 168/4391 is 8/14885490.