Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8552/91,8446/229
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 8552,8446
Greatest Common Factor of Numerators i.e. GCF of 8552,8446 is 2 .
LCM of Denominators means LCM of 91,229 as per the given fractions.
LCM of 91,229 is 20839 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8552,8446
2 | 8552, 8446 |
4276, 4223 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 8552
List of positive integer factors of 8552 that divides 8552 without a remainder.
1,2,4,8,1069,2138,4276,8552
Factors of 8446
List of positive integer factors of 8446 that divides 8446 without a remainder.
1,2,41,82,103,206,4223,8446
Greatest Common Factor
We found the factors 8552,8446 . The biggest common factor number is the GCF number.
So the greatest common factor 8552,8446 is 2.
Lets's calculate LCM of 91,229
Given numbers has no common factors except 1. So, there LCM is their product i.e 20839
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/20839
Therefore, the GCF of Fractions 8552/91,8446/229 is 2/20839
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 91,229 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,229) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(91,229) x common factors =1 x 1 = 1
LCM(91,229) = ( 91 × 229 ) / 1
LCM(91,229) = 20839 / 1
LCM(91,229) = 20839
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 8552/91, 8446/229?
Answer: GCF of Numerators as per given numbers 8552/91, 8446/229 is
GCF of Numerators i.e. for 8552,8446 is 2
LCM of denominators i.e. for 91,229 is 20839.
Thus, GCF of Fractions is 2/20839.Finally, GCF of Fractions for 8552/91, 8446/229 is 2/20839.