Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3066/964,1238/6025
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 3066,1238
Greatest Common Factor of Numerators i.e. GCF of 3066,1238 is 2 .
LCM of Denominators means LCM of 964,6025 as per the given fractions.
LCM of 964,6025 is 24100 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3066,1238
2 | 3066, 1238 |
1533, 619 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 3066
List of positive integer factors of 3066 that divides 3066 without a remainder.
1,2,3,6,7,14,21,42,73,146,219,438,511,1022,1533,3066
Factors of 1238
List of positive integer factors of 1238 that divides 1238 without a remainder.
1,2,619,1238
Greatest Common Factor
We found the factors 3066,1238 . The biggest common factor number is the GCF number.
So the greatest common factor 3066,1238 is 2.
Lets's calculate LCM of 964,6025
241 | 964, 6025 |
4, 25 |
∴ So the LCM of the given numbers is 241 x 4 x 25 = 24100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/24100
Therefore, the GCF of Fractions 3066/964,1238/6025 is 2/24100
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 964,6025 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(964,6025) = 241
common factors(in case of two or more numbers have common factors) = 1
GCF(964,6025) x common factors =241 x 1 = 241
LCM(964,6025) = ( 964 × 6025 ) / 241
LCM(964,6025) = 5808100 / 241
LCM(964,6025) = 24100
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 3066/964, 1238/6025?
Answer: GCF of Numerators as per given numbers 3066/964, 1238/6025 is
GCF of Numerators i.e. for 3066,1238 is 2
LCM of denominators i.e. for 964,6025 is 24100.
Thus, GCF of Fractions is 2/24100.Finally, GCF of Fractions for 3066/964, 1238/6025 is 2/24100.