Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6365/250,9845/4509
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 6365,9845
Greatest Common Factor of Numerators i.e. GCF of 6365,9845 is 5 .
LCM of Denominators means LCM of 250,4509 as per the given fractions.
LCM of 250,4509 is 1127250 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6365,9845
5 | 6365, 9845 |
1273, 1969 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 6365
List of positive integer factors of 6365 that divides 6365 without a remainder.
1,5,19,67,95,335,1273,6365
Factors of 9845
List of positive integer factors of 9845 that divides 9845 without a remainder.
1,5,11,55,179,895,1969,9845
Greatest Common Factor
We found the factors 6365,9845 . The biggest common factor number is the GCF number.
So the greatest common factor 6365,9845 is 5.
Lets's calculate LCM of 250,4509
Given numbers has no common factors except 1. So, there LCM is their product i.e 1127250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1127250
Therefore, the GCF of Fractions 6365/250,9845/4509 is 5/1127250
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 250,4509 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(250,4509) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(250,4509) x common factors =1 x 1 = 1
LCM(250,4509) = ( 250 × 4509 ) / 1
LCM(250,4509) = 1127250 / 1
LCM(250,4509) = 1127250
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 6365/250, 9845/4509?
Answer: GCF of Numerators as per given numbers 6365/250, 9845/4509 is
GCF of Numerators i.e. for 6365,9845 is 5
LCM of denominators i.e. for 250,4509 is 1127250.
Thus, GCF of Fractions is 5/1127250.Finally, GCF of Fractions for 6365/250, 9845/4509 is 5/1127250.