Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4304/886,8846/8084
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 4304,8846
Greatest Common Factor of Numerators i.e. GCF of 4304,8846 is 2 .
LCM of Denominators means LCM of 886,8084 as per the given fractions.
LCM of 886,8084 is 3581212 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4304,8846
2 | 4304, 8846 |
2152, 4423 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 4304
List of positive integer factors of 4304 that divides 4304 without a remainder.
1,2,4,8,16,269,538,1076,2152,4304
Factors of 8846
List of positive integer factors of 8846 that divides 8846 without a remainder.
1,2,4423,8846
Greatest Common Factor
We found the factors 4304,8846 . The biggest common factor number is the GCF number.
So the greatest common factor 4304,8846 is 2.
Lets's calculate LCM of 886,8084
2 | 886, 8084 |
443, 4042 |
∴ So the LCM of the given numbers is 2 x 443 x 4042 = 3581212
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3581212
Therefore, the GCF of Fractions 4304/886,8846/8084 is 2/3581212
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 886,8084 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(886,8084) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(886,8084) x common factors =2 x 1 = 2
LCM(886,8084) = ( 886 × 8084 ) / 2
LCM(886,8084) = 7162424 / 2
LCM(886,8084) = 3581212
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 4304/886, 8846/8084?
Answer: GCF of Numerators as per given numbers 4304/886, 8846/8084 is
GCF of Numerators i.e. for 4304,8846 is 2
LCM of denominators i.e. for 886,8084 is 3581212.
Thus, GCF of Fractions is 2/3581212.Finally, GCF of Fractions for 4304/886, 8846/8084 is 2/3581212.