Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9044/225,4194/987
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 9044,4194
Greatest Common Factor of Numerators i.e. GCF of 9044,4194 is 2 .
LCM of Denominators means LCM of 225,987 as per the given fractions.
LCM of 225,987 is 74025 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9044,4194
2 | 9044, 4194 |
4522, 2097 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 9044
List of positive integer factors of 9044 that divides 9044 without a remainder.
1,2,4,7,14,17,19,28,34,38,68,76,119,133,238,266,323,476,532,646,1292,2261,4522,9044
Factors of 4194
List of positive integer factors of 4194 that divides 4194 without a remainder.
1,2,3,6,9,18,233,466,699,1398,2097,4194
Greatest Common Factor
We found the factors 9044,4194 . The biggest common factor number is the GCF number.
So the greatest common factor 9044,4194 is 2.
Lets's calculate LCM of 225,987
3 | 225, 987 |
75, 329 |
∴ So the LCM of the given numbers is 3 x 75 x 329 = 74025
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/74025
Therefore, the GCF of Fractions 9044/225,4194/987 is 2/74025
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 225,987 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(225,987) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(225,987) x common factors =3 x 1 = 3
LCM(225,987) = ( 225 × 987 ) / 3
LCM(225,987) = 222075 / 3
LCM(225,987) = 74025
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 9044/225, 4194/987?
Answer: GCF of Numerators as per given numbers 9044/225, 4194/987 is
GCF of Numerators i.e. for 9044,4194 is 2
LCM of denominators i.e. for 225,987 is 74025.
Thus, GCF of Fractions is 2/74025.Finally, GCF of Fractions for 9044/225, 4194/987 is 2/74025.