Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 16/443,369/288,168/948
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 16,369,168
Greatest Common Factor of Numerators i.e. GCF of 16,369,168 is 1 .
LCM of Denominators means LCM of 443,288,948 as per the given fractions.
LCM of 443,288,948 is 10079136 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 16,369,168
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 369
List of positive integer factors of 369 that divides 369 without a remainder.
1,3,9,41,123,369
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 16,369,168 . The biggest common factor number is the GCF number.
So the greatest common factor 16,369,168 is 1.
Lets's calculate LCM of 443,288,948
2 | 443, 288, 948 |
2 | 443, 144, 474 |
3 | 443, 72, 237 |
443, 24, 79 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 443 x 24 x 79 = 10079136
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10079136
Therefore, the GCF of Fractions 16/443,369/288,168/948 is 1/10079136
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 443,288,948 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(443,288,948) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(443,288,948) x common factors =1 x 12 = 12
LCM(443,288,948) = ( 443 × 288 × 948 ) / 12
LCM(443,288,948) = 120949632 / 12
LCM(443,288,948) = 10079136
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 16/443, 369/288, 168/948?
Answer: GCF of Numerators as per given numbers 16/443, 369/288, 168/948 is
GCF of Numerators i.e. for 16,369,168 is 1
LCM of denominators i.e. for 443,288,948 is 10079136.
Thus, GCF of Fractions is 1/10079136.Finally, GCF of Fractions for 16/443, 369/288, 168/948 is 1/10079136.