Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8092/267,2244/603
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 8092,2244
Greatest Common Factor of Numerators i.e. GCF of 8092,2244 is 68 .
LCM of Denominators means LCM of 267,603 as per the given fractions.
LCM of 267,603 is 53667 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8092,2244
2 | 8092, 2244 |
2 | 4046, 1122 |
17 | 2023, 561 |
119, 33 |
∴ So the GCF of the given numbers is 2 x 2 x 17 = 68
Factors of 8092
List of positive integer factors of 8092 that divides 8092 without a remainder.
1,2,4,7,14,17,28,34,68,119,238,289,476,578,1156,2023,4046,8092
Factors of 2244
List of positive integer factors of 2244 that divides 2244 without a remainder.
1,2,3,4,6,11,12,17,22,33,34,44,51,66,68,102,132,187,204,374,561,748,1122,2244
Greatest Common Factor
We found the factors 8092,2244 . The biggest common factor number is the GCF number.
So the greatest common factor 8092,2244 is 68.
Lets's calculate LCM of 267,603
3 | 267, 603 |
89, 201 |
∴ So the LCM of the given numbers is 3 x 89 x 201 = 53667
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 68/53667
Therefore, the GCF of Fractions 8092/267,2244/603 is 68/53667
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 267,603 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(267,603) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(267,603) x common factors =3 x 1 = 3
LCM(267,603) = ( 267 × 603 ) / 3
LCM(267,603) = 161001 / 3
LCM(267,603) = 53667
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 8092/267, 2244/603?
Answer: GCF of Numerators as per given numbers 8092/267, 2244/603 is
GCF of Numerators i.e. for 8092,2244 is 68
LCM of denominators i.e. for 267,603 is 53667.
Thus, GCF of Fractions is 68/53667.Finally, GCF of Fractions for 8092/267, 2244/603 is 68/53667.