Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8669/611,9799/1405
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 8669,9799
Greatest Common Factor of Numerators i.e. GCF of 8669,9799 is 1 .
LCM of Denominators means LCM of 611,1405 as per the given fractions.
LCM of 611,1405 is 858455 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8669,9799
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8669
List of positive integer factors of 8669 that divides 8669 without a remainder.
1,8669
Factors of 9799
List of positive integer factors of 9799 that divides 9799 without a remainder.
1,41,239,9799
Greatest Common Factor
We found the factors 8669,9799 . The biggest common factor number is the GCF number.
So the greatest common factor 8669,9799 is 1.
Lets's calculate LCM of 611,1405
Given numbers has no common factors except 1. So, there LCM is their product i.e 858455
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/858455
Therefore, the GCF of Fractions 8669/611,9799/1405 is 1/858455
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 611,1405 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(611,1405) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(611,1405) x common factors =1 x 1 = 1
LCM(611,1405) = ( 611 × 1405 ) / 1
LCM(611,1405) = 858455 / 1
LCM(611,1405) = 858455
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 8669/611, 9799/1405?
Answer: GCF of Numerators as per given numbers 8669/611, 9799/1405 is
GCF of Numerators i.e. for 8669,9799 is 1
LCM of denominators i.e. for 611,1405 is 858455.
Thus, GCF of Fractions is 1/858455.Finally, GCF of Fractions for 8669/611, 9799/1405 is 1/858455.