Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4254/87,5559/803
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 4254,5559
Greatest Common Factor of Numerators i.e. GCF of 4254,5559 is 3 .
LCM of Denominators means LCM of 87,803 as per the given fractions.
LCM of 87,803 is 69861 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4254,5559
3 | 4254, 5559 |
1418, 1853 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 4254
List of positive integer factors of 4254 that divides 4254 without a remainder.
1,2,3,6,709,1418,2127,4254
Factors of 5559
List of positive integer factors of 5559 that divides 5559 without a remainder.
1,3,17,51,109,327,1853,5559
Greatest Common Factor
We found the factors 4254,5559 . The biggest common factor number is the GCF number.
So the greatest common factor 4254,5559 is 3.
Lets's calculate LCM of 87,803
Given numbers has no common factors except 1. So, there LCM is their product i.e 69861
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/69861
Therefore, the GCF of Fractions 4254/87,5559/803 is 3/69861
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 87,803 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,803) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(87,803) x common factors =1 x 1 = 1
LCM(87,803) = ( 87 × 803 ) / 1
LCM(87,803) = 69861 / 1
LCM(87,803) = 69861
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 4254/87, 5559/803?
Answer: GCF of Numerators as per given numbers 4254/87, 5559/803 is
GCF of Numerators i.e. for 4254,5559 is 3
LCM of denominators i.e. for 87,803 is 69861.
Thus, GCF of Fractions is 3/69861.Finally, GCF of Fractions for 4254/87, 5559/803 is 3/69861.