Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8145/409,4601/5155
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 8145,4601
Greatest Common Factor of Numerators i.e. GCF of 8145,4601 is 1 .
LCM of Denominators means LCM of 409,5155 as per the given fractions.
LCM of 409,5155 is 2108395 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8145,4601
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8145
List of positive integer factors of 8145 that divides 8145 without a remainder.
1,3,5,9,15,45,181,543,905,1629,2715,8145
Factors of 4601
List of positive integer factors of 4601 that divides 4601 without a remainder.
1,43,107,4601
Greatest Common Factor
We found the factors 8145,4601 . The biggest common factor number is the GCF number.
So the greatest common factor 8145,4601 is 1.
Lets's calculate LCM of 409,5155
Given numbers has no common factors except 1. So, there LCM is their product i.e 2108395
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2108395
Therefore, the GCF of Fractions 8145/409,4601/5155 is 1/2108395
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 409,5155 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(409,5155) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(409,5155) x common factors =1 x 1 = 1
LCM(409,5155) = ( 409 × 5155 ) / 1
LCM(409,5155) = 2108395 / 1
LCM(409,5155) = 2108395
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 8145/409, 4601/5155?
Answer: GCF of Numerators as per given numbers 8145/409, 4601/5155 is
GCF of Numerators i.e. for 8145,4601 is 1
LCM of denominators i.e. for 409,5155 is 2108395.
Thus, GCF of Fractions is 1/2108395.Finally, GCF of Fractions for 8145/409, 4601/5155 is 1/2108395.