Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8315/52,5645/217
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 8315,5645
Greatest Common Factor of Numerators i.e. GCF of 8315,5645 is 5 .
LCM of Denominators means LCM of 52,217 as per the given fractions.
LCM of 52,217 is 11284 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8315,5645
5 | 8315, 5645 |
1663, 1129 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 8315
List of positive integer factors of 8315 that divides 8315 without a remainder.
1,5,1663,8315
Factors of 5645
List of positive integer factors of 5645 that divides 5645 without a remainder.
1,5,1129,5645
Greatest Common Factor
We found the factors 8315,5645 . The biggest common factor number is the GCF number.
So the greatest common factor 8315,5645 is 5.
Lets's calculate LCM of 52,217
Given numbers has no common factors except 1. So, there LCM is their product i.e 11284
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/11284
Therefore, the GCF of Fractions 8315/52,5645/217 is 5/11284
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 52,217 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,217) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(52,217) x common factors =1 x 1 = 1
LCM(52,217) = ( 52 × 217 ) / 1
LCM(52,217) = 11284 / 1
LCM(52,217) = 11284
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 8315/52, 5645/217?
Answer: GCF of Numerators as per given numbers 8315/52, 5645/217 is
GCF of Numerators i.e. for 8315,5645 is 5
LCM of denominators i.e. for 52,217 is 11284.
Thus, GCF of Fractions is 5/11284.Finally, GCF of Fractions for 8315/52, 5645/217 is 5/11284.