Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 911/613,7065/516
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 911,7065
Greatest Common Factor of Numerators i.e. GCF of 911,7065 is 1 .
LCM of Denominators means LCM of 613,516 as per the given fractions.
LCM of 613,516 is 316308 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 911,7065
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 911
List of positive integer factors of 911 that divides 911 without a remainder.
1,911
Factors of 7065
List of positive integer factors of 7065 that divides 7065 without a remainder.
1,3,5,9,15,45,157,471,785,1413,2355,7065
Greatest Common Factor
We found the factors 911,7065 . The biggest common factor number is the GCF number.
So the greatest common factor 911,7065 is 1.
Lets's calculate LCM of 613,516
Given numbers has no common factors except 1. So, there LCM is their product i.e 316308
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/316308
Therefore, the GCF of Fractions 911/613,7065/516 is 1/316308
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 613,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(613,516) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(613,516) x common factors =1 x 1 = 1
LCM(613,516) = ( 613 × 516 ) / 1
LCM(613,516) = 316308 / 1
LCM(613,516) = 316308
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 911/613, 7065/516?
Answer: GCF of Numerators as per given numbers 911/613, 7065/516 is
GCF of Numerators i.e. for 911,7065 is 1
LCM of denominators i.e. for 613,516 is 316308.
Thus, GCF of Fractions is 1/316308.Finally, GCF of Fractions for 911/613, 7065/516 is 1/316308.