Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 68/226,8802/6082
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 68,8802
Greatest Common Factor of Numerators i.e. GCF of 68,8802 is 2 .
LCM of Denominators means LCM of 226,6082 as per the given fractions.
LCM of 226,6082 is 687266 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 68,8802
2 | 68, 8802 |
34, 4401 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 8802
List of positive integer factors of 8802 that divides 8802 without a remainder.
1,2,3,6,9,18,27,54,163,326,489,978,1467,2934,4401,8802
Greatest Common Factor
We found the factors 68,8802 . The biggest common factor number is the GCF number.
So the greatest common factor 68,8802 is 2.
Lets's calculate LCM of 226,6082
2 | 226, 6082 |
113, 3041 |
∴ So the LCM of the given numbers is 2 x 113 x 3041 = 687266
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/687266
Therefore, the GCF of Fractions 68/226,8802/6082 is 2/687266
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 226,6082 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(226,6082) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(226,6082) x common factors =2 x 1 = 2
LCM(226,6082) = ( 226 × 6082 ) / 2
LCM(226,6082) = 1374532 / 2
LCM(226,6082) = 687266
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 68/226, 8802/6082?
Answer: GCF of Numerators as per given numbers 68/226, 8802/6082 is
GCF of Numerators i.e. for 68,8802 is 2
LCM of denominators i.e. for 226,6082 is 687266.
Thus, GCF of Fractions is 2/687266.Finally, GCF of Fractions for 68/226, 8802/6082 is 2/687266.