Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 600/50,4825/339
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 600,4825
Greatest Common Factor of Numerators i.e. GCF of 600,4825 is 25 .
LCM of Denominators means LCM of 50,339 as per the given fractions.
LCM of 50,339 is 16950 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 600,4825
5 | 600, 4825 |
5 | 120, 965 |
24, 193 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Factors of 600
List of positive integer factors of 600 that divides 600 without a remainder.
1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600
Factors of 4825
List of positive integer factors of 4825 that divides 4825 without a remainder.
1,5,25,193,965,4825
Greatest Common Factor
We found the factors 600,4825 . The biggest common factor number is the GCF number.
So the greatest common factor 600,4825 is 25.
Lets's calculate LCM of 50,339
Given numbers has no common factors except 1. So, there LCM is their product i.e 16950
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/16950
Therefore, the GCF of Fractions 600/50,4825/339 is 25/16950
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 50,339 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,339) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(50,339) x common factors =1 x 1 = 1
LCM(50,339) = ( 50 × 339 ) / 1
LCM(50,339) = 16950 / 1
LCM(50,339) = 16950
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 600/50, 4825/339?
Answer: GCF of Numerators as per given numbers 600/50, 4825/339 is
GCF of Numerators i.e. for 600,4825 is 25
LCM of denominators i.e. for 50,339 is 16950.
Thus, GCF of Fractions is 25/16950.Finally, GCF of Fractions for 600/50, 4825/339 is 25/16950.