Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1371/483,5079/865
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 1371,5079
Greatest Common Factor of Numerators i.e. GCF of 1371,5079 is 3 .
LCM of Denominators means LCM of 483,865 as per the given fractions.
LCM of 483,865 is 417795 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1371,5079
3 | 1371, 5079 |
457, 1693 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 1371
List of positive integer factors of 1371 that divides 1371 without a remainder.
1,3,457,1371
Factors of 5079
List of positive integer factors of 5079 that divides 5079 without a remainder.
1,3,1693,5079
Greatest Common Factor
We found the factors 1371,5079 . The biggest common factor number is the GCF number.
So the greatest common factor 1371,5079 is 3.
Lets's calculate LCM of 483,865
Given numbers has no common factors except 1. So, there LCM is their product i.e 417795
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/417795
Therefore, the GCF of Fractions 1371/483,5079/865 is 3/417795
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 483,865 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(483,865) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(483,865) x common factors =1 x 1 = 1
LCM(483,865) = ( 483 × 865 ) / 1
LCM(483,865) = 417795 / 1
LCM(483,865) = 417795
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 1371/483, 5079/865?
Answer: GCF of Numerators as per given numbers 1371/483, 5079/865 is
GCF of Numerators i.e. for 1371,5079 is 3
LCM of denominators i.e. for 483,865 is 417795.
Thus, GCF of Fractions is 3/417795.Finally, GCF of Fractions for 1371/483, 5079/865 is 3/417795.