Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4023/226,8608/3142
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 4023,8608
Greatest Common Factor of Numerators i.e. GCF of 4023,8608 is 1 .
LCM of Denominators means LCM of 226,3142 as per the given fractions.
LCM of 226,3142 is 355046 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4023,8608
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4023
List of positive integer factors of 4023 that divides 4023 without a remainder.
1,3,9,27,149,447,1341,4023
Factors of 8608
List of positive integer factors of 8608 that divides 8608 without a remainder.
1,2,4,8,16,32,269,538,1076,2152,4304,8608
Greatest Common Factor
We found the factors 4023,8608 . The biggest common factor number is the GCF number.
So the greatest common factor 4023,8608 is 1.
Lets's calculate LCM of 226,3142
2 | 226, 3142 |
113, 1571 |
∴ So the LCM of the given numbers is 2 x 113 x 1571 = 355046
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/355046
Therefore, the GCF of Fractions 4023/226,8608/3142 is 1/355046
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 226,3142 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(226,3142) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(226,3142) x common factors =2 x 1 = 2
LCM(226,3142) = ( 226 × 3142 ) / 2
LCM(226,3142) = 710092 / 2
LCM(226,3142) = 355046
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 4023/226, 8608/3142?
Answer: GCF of Numerators as per given numbers 4023/226, 8608/3142 is
GCF of Numerators i.e. for 4023,8608 is 1
LCM of denominators i.e. for 226,3142 is 355046.
Thus, GCF of Fractions is 1/355046.Finally, GCF of Fractions for 4023/226, 8608/3142 is 1/355046.