Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7368/16,9345/552
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 7368,9345
Greatest Common Factor of Numerators i.e. GCF of 7368,9345 is 3 .
LCM of Denominators means LCM of 16,552 as per the given fractions.
LCM of 16,552 is 1104 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7368,9345
3 | 7368, 9345 |
2456, 3115 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 7368
List of positive integer factors of 7368 that divides 7368 without a remainder.
1,2,3,4,6,8,12,24,307,614,921,1228,1842,2456,3684,7368
Factors of 9345
List of positive integer factors of 9345 that divides 9345 without a remainder.
1,3,5,7,15,21,35,89,105,267,445,623,1335,1869,3115,9345
Greatest Common Factor
We found the factors 7368,9345 . The biggest common factor number is the GCF number.
So the greatest common factor 7368,9345 is 3.
Lets's calculate LCM of 16,552
2 | 16, 552 |
2 | 8, 276 |
2 | 4, 138 |
2, 69 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 69 = 1104
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1104
Therefore, the GCF of Fractions 7368/16,9345/552 is 3/1104
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 16,552 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,552) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(16,552) x common factors =8 x 1 = 8
LCM(16,552) = ( 16 × 552 ) / 8
LCM(16,552) = 8832 / 8
LCM(16,552) = 1104
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 7368/16, 9345/552?
Answer: GCF of Numerators as per given numbers 7368/16, 9345/552 is
GCF of Numerators i.e. for 7368,9345 is 3
LCM of denominators i.e. for 16,552 is 1104.
Thus, GCF of Fractions is 3/1104.Finally, GCF of Fractions for 7368/16, 9345/552 is 3/1104.