Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 899/667,8325/426
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 899,8325
Greatest Common Factor of Numerators i.e. GCF of 899,8325 is 1 .
LCM of Denominators means LCM of 667,426 as per the given fractions.
LCM of 667,426 is 284142 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 899,8325
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 899
List of positive integer factors of 899 that divides 899 without a remainder.
1,29,31,899
Factors of 8325
List of positive integer factors of 8325 that divides 8325 without a remainder.
1,3,5,9,15,25,37,45,75,111,185,225,333,555,925,1665,2775,8325
Greatest Common Factor
We found the factors 899,8325 . The biggest common factor number is the GCF number.
So the greatest common factor 899,8325 is 1.
Lets's calculate LCM of 667,426
Given numbers has no common factors except 1. So, there LCM is their product i.e 284142
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/284142
Therefore, the GCF of Fractions 899/667,8325/426 is 1/284142
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 667,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(667,426) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(667,426) x common factors =1 x 1 = 1
LCM(667,426) = ( 667 × 426 ) / 1
LCM(667,426) = 284142 / 1
LCM(667,426) = 284142
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 899/667, 8325/426?
Answer: GCF of Numerators as per given numbers 899/667, 8325/426 is
GCF of Numerators i.e. for 899,8325 is 1
LCM of denominators i.e. for 667,426 is 284142.
Thus, GCF of Fractions is 1/284142.Finally, GCF of Fractions for 899/667, 8325/426 is 1/284142.