Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8317/302,3478/501
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 8317,3478
Greatest Common Factor of Numerators i.e. GCF of 8317,3478 is 1 .
LCM of Denominators means LCM of 302,501 as per the given fractions.
LCM of 302,501 is 151302 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8317,3478
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8317
List of positive integer factors of 8317 that divides 8317 without a remainder.
1,8317
Factors of 3478
List of positive integer factors of 3478 that divides 3478 without a remainder.
1,2,37,47,74,94,1739,3478
Greatest Common Factor
We found the factors 8317,3478 . The biggest common factor number is the GCF number.
So the greatest common factor 8317,3478 is 1.
Lets's calculate LCM of 302,501
Given numbers has no common factors except 1. So, there LCM is their product i.e 151302
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/151302
Therefore, the GCF of Fractions 8317/302,3478/501 is 1/151302
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 302,501 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(302,501) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(302,501) x common factors =1 x 1 = 1
LCM(302,501) = ( 302 × 501 ) / 1
LCM(302,501) = 151302 / 1
LCM(302,501) = 151302
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 8317/302, 3478/501?
Answer: GCF of Numerators as per given numbers 8317/302, 3478/501 is
GCF of Numerators i.e. for 8317,3478 is 1
LCM of denominators i.e. for 302,501 is 151302.
Thus, GCF of Fractions is 1/151302.Finally, GCF of Fractions for 8317/302, 3478/501 is 1/151302.