Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4832/997,3388/6311
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 4832,3388
Greatest Common Factor of Numerators i.e. GCF of 4832,3388 is 4 .
LCM of Denominators means LCM of 997,6311 as per the given fractions.
LCM of 997,6311 is 6292067 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4832,3388
2 | 4832, 3388 |
2 | 2416, 1694 |
1208, 847 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 4832
List of positive integer factors of 4832 that divides 4832 without a remainder.
1,2,4,8,16,32,151,302,604,1208,2416,4832
Factors of 3388
List of positive integer factors of 3388 that divides 3388 without a remainder.
1,2,4,7,11,14,22,28,44,77,121,154,242,308,484,847,1694,3388
Greatest Common Factor
We found the factors 4832,3388 . The biggest common factor number is the GCF number.
So the greatest common factor 4832,3388 is 4.
Lets's calculate LCM of 997,6311
Given numbers has no common factors except 1. So, there LCM is their product i.e 6292067
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/6292067
Therefore, the GCF of Fractions 4832/997,3388/6311 is 4/6292067
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 997,6311 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(997,6311) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(997,6311) x common factors =1 x 1 = 1
LCM(997,6311) = ( 997 × 6311 ) / 1
LCM(997,6311) = 6292067 / 1
LCM(997,6311) = 6292067
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 4832/997, 3388/6311?
Answer: GCF of Numerators as per given numbers 4832/997, 3388/6311 is
GCF of Numerators i.e. for 4832,3388 is 4
LCM of denominators i.e. for 997,6311 is 6292067.
Thus, GCF of Fractions is 4/6292067.Finally, GCF of Fractions for 4832/997, 3388/6311 is 4/6292067.