Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4571/30,8226/317
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 4571,8226
Greatest Common Factor of Numerators i.e. GCF of 4571,8226 is 1 .
LCM of Denominators means LCM of 30,317 as per the given fractions.
LCM of 30,317 is 9510 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4571,8226
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4571
List of positive integer factors of 4571 that divides 4571 without a remainder.
1,7,653,4571
Factors of 8226
List of positive integer factors of 8226 that divides 8226 without a remainder.
1,2,3,6,9,18,457,914,1371,2742,4113,8226
Greatest Common Factor
We found the factors 4571,8226 . The biggest common factor number is the GCF number.
So the greatest common factor 4571,8226 is 1.
Lets's calculate LCM of 30,317
Given numbers has no common factors except 1. So, there LCM is their product i.e 9510
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9510
Therefore, the GCF of Fractions 4571/30,8226/317 is 1/9510
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 30,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,317) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(30,317) x common factors =1 x 1 = 1
LCM(30,317) = ( 30 × 317 ) / 1
LCM(30,317) = 9510 / 1
LCM(30,317) = 9510
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 4571/30, 8226/317?
Answer: GCF of Numerators as per given numbers 4571/30, 8226/317 is
GCF of Numerators i.e. for 4571,8226 is 1
LCM of denominators i.e. for 30,317 is 9510.
Thus, GCF of Fractions is 1/9510.Finally, GCF of Fractions for 4571/30, 8226/317 is 1/9510.