Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 115/723,9680/6497
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 115,9680
Greatest Common Factor of Numerators i.e. GCF of 115,9680 is 5 .
LCM of Denominators means LCM of 723,6497 as per the given fractions.
LCM of 723,6497 is 4697331 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 115,9680
5 | 115, 9680 |
23, 1936 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 115
List of positive integer factors of 115 that divides 115 without a remainder.
1,5,23,115
Factors of 9680
List of positive integer factors of 9680 that divides 9680 without a remainder.
1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,121,176,220,242,440,484,605,880,968,1210,1936,2420,4840,9680
Greatest Common Factor
We found the factors 115,9680 . The biggest common factor number is the GCF number.
So the greatest common factor 115,9680 is 5.
Lets's calculate LCM of 723,6497
Given numbers has no common factors except 1. So, there LCM is their product i.e 4697331
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/4697331
Therefore, the GCF of Fractions 115/723,9680/6497 is 5/4697331
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 723,6497 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(723,6497) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(723,6497) x common factors =1 x 1 = 1
LCM(723,6497) = ( 723 × 6497 ) / 1
LCM(723,6497) = 4697331 / 1
LCM(723,6497) = 4697331
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 115/723, 9680/6497?
Answer: GCF of Numerators as per given numbers 115/723, 9680/6497 is
GCF of Numerators i.e. for 115,9680 is 5
LCM of denominators i.e. for 723,6497 is 4697331.
Thus, GCF of Fractions is 5/4697331.Finally, GCF of Fractions for 115/723, 9680/6497 is 5/4697331.