Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7202/13,6025/865
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 7202,6025
Greatest Common Factor of Numerators i.e. GCF of 7202,6025 is 1 .
LCM of Denominators means LCM of 13,865 as per the given fractions.
LCM of 13,865 is 11245 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7202,6025
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7202
List of positive integer factors of 7202 that divides 7202 without a remainder.
1,2,13,26,277,554,3601,7202
Factors of 6025
List of positive integer factors of 6025 that divides 6025 without a remainder.
1,5,25,241,1205,6025
Greatest Common Factor
We found the factors 7202,6025 . The biggest common factor number is the GCF number.
So the greatest common factor 7202,6025 is 1.
Lets's calculate LCM of 13,865
Given numbers has no common factors except 1. So, there LCM is their product i.e 11245
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11245
Therefore, the GCF of Fractions 7202/13,6025/865 is 1/11245
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 13,865 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,865) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(13,865) x common factors =1 x 1 = 1
LCM(13,865) = ( 13 × 865 ) / 1
LCM(13,865) = 11245 / 1
LCM(13,865) = 11245
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 7202/13, 6025/865?
Answer: GCF of Numerators as per given numbers 7202/13, 6025/865 is
GCF of Numerators i.e. for 7202,6025 is 1
LCM of denominators i.e. for 13,865 is 11245.
Thus, GCF of Fractions is 1/11245.Finally, GCF of Fractions for 7202/13, 6025/865 is 1/11245.