Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 260/848,203/625
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 260,203
Greatest Common Factor of Numerators i.e. GCF of 260,203 is 1 .
LCM of Denominators means LCM of 848,625 as per the given fractions.
LCM of 848,625 is 530000 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 260,203
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 260
List of positive integer factors of 260 that divides 260 without a remainder.
1,2,4,5,10,13,20,26,52,65,130,260
Factors of 203
List of positive integer factors of 203 that divides 203 without a remainder.
1,7,29,203
Greatest Common Factor
We found the factors 260,203 . The biggest common factor number is the GCF number.
So the greatest common factor 260,203 is 1.
Lets's calculate LCM of 848,625
Given numbers has no common factors except 1. So, there LCM is their product i.e 530000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/530000
Therefore, the GCF of Fractions 260/848,203/625 is 1/530000
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 848,625 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(848,625) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(848,625) x common factors =1 x 1 = 1
LCM(848,625) = ( 848 × 625 ) / 1
LCM(848,625) = 530000 / 1
LCM(848,625) = 530000
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 260/848, 203/625?
Answer: GCF of Numerators as per given numbers 260/848, 203/625 is
GCF of Numerators i.e. for 260,203 is 1
LCM of denominators i.e. for 848,625 is 530000.
Thus, GCF of Fractions is 1/530000.Finally, GCF of Fractions for 260/848, 203/625 is 1/530000.