Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4069/226,3159/675
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 4069,3159
Greatest Common Factor of Numerators i.e. GCF of 4069,3159 is 13 .
LCM of Denominators means LCM of 226,675 as per the given fractions.
LCM of 226,675 is 152550 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4069,3159
13 | 4069, 3159 |
313, 243 |
∴ So the GCF of the given numbers is 13 = 13
Factors of 4069
List of positive integer factors of 4069 that divides 4069 without a remainder.
1,13,313,4069
Factors of 3159
List of positive integer factors of 3159 that divides 3159 without a remainder.
1,3,9,13,27,39,81,117,243,351,1053,3159
Greatest Common Factor
We found the factors 4069,3159 . The biggest common factor number is the GCF number.
So the greatest common factor 4069,3159 is 13.
Lets's calculate LCM of 226,675
Given numbers has no common factors except 1. So, there LCM is their product i.e 152550
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/152550
Therefore, the GCF of Fractions 4069/226,3159/675 is 13/152550
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 226,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(226,675) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(226,675) x common factors =1 x 1 = 1
LCM(226,675) = ( 226 × 675 ) / 1
LCM(226,675) = 152550 / 1
LCM(226,675) = 152550
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 4069/226, 3159/675?
Answer: GCF of Numerators as per given numbers 4069/226, 3159/675 is
GCF of Numerators i.e. for 4069,3159 is 13
LCM of denominators i.e. for 226,675 is 152550.
Thus, GCF of Fractions is 13/152550.Finally, GCF of Fractions for 4069/226, 3159/675 is 13/152550.