Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3148/501,8303/2425
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 3148,8303
Greatest Common Factor of Numerators i.e. GCF of 3148,8303 is 1 .
LCM of Denominators means LCM of 501,2425 as per the given fractions.
LCM of 501,2425 is 1214925 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3148,8303
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3148
List of positive integer factors of 3148 that divides 3148 without a remainder.
1,2,4,787,1574,3148
Factors of 8303
List of positive integer factors of 8303 that divides 8303 without a remainder.
1,19,23,361,437,8303
Greatest Common Factor
We found the factors 3148,8303 . The biggest common factor number is the GCF number.
So the greatest common factor 3148,8303 is 1.
Lets's calculate LCM of 501,2425
Given numbers has no common factors except 1. So, there LCM is their product i.e 1214925
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1214925
Therefore, the GCF of Fractions 3148/501,8303/2425 is 1/1214925
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 501,2425 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(501,2425) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(501,2425) x common factors =1 x 1 = 1
LCM(501,2425) = ( 501 × 2425 ) / 1
LCM(501,2425) = 1214925 / 1
LCM(501,2425) = 1214925
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 3148/501, 8303/2425?
Answer: GCF of Numerators as per given numbers 3148/501, 8303/2425 is
GCF of Numerators i.e. for 3148,8303 is 1
LCM of denominators i.e. for 501,2425 is 1214925.
Thus, GCF of Fractions is 1/1214925.Finally, GCF of Fractions for 3148/501, 8303/2425 is 1/1214925.