Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4044/127,5505/1204
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 4044,5505
Greatest Common Factor of Numerators i.e. GCF of 4044,5505 is 3 .
LCM of Denominators means LCM of 127,1204 as per the given fractions.
LCM of 127,1204 is 152908 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4044,5505
3 | 4044, 5505 |
1348, 1835 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 4044
List of positive integer factors of 4044 that divides 4044 without a remainder.
1,2,3,4,6,12,337,674,1011,1348,2022,4044
Factors of 5505
List of positive integer factors of 5505 that divides 5505 without a remainder.
1,3,5,15,367,1101,1835,5505
Greatest Common Factor
We found the factors 4044,5505 . The biggest common factor number is the GCF number.
So the greatest common factor 4044,5505 is 3.
Lets's calculate LCM of 127,1204
Given numbers has no common factors except 1. So, there LCM is their product i.e 152908
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/152908
Therefore, the GCF of Fractions 4044/127,5505/1204 is 3/152908
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 127,1204 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(127,1204) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(127,1204) x common factors =1 x 1 = 1
LCM(127,1204) = ( 127 × 1204 ) / 1
LCM(127,1204) = 152908 / 1
LCM(127,1204) = 152908
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 4044/127, 5505/1204?
Answer: GCF of Numerators as per given numbers 4044/127, 5505/1204 is
GCF of Numerators i.e. for 4044,5505 is 3
LCM of denominators i.e. for 127,1204 is 152908.
Thus, GCF of Fractions is 3/152908.Finally, GCF of Fractions for 4044/127, 5505/1204 is 3/152908.