Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 894/173,1633/808
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 894,1633
Greatest Common Factor of Numerators i.e. GCF of 894,1633 is 1 .
LCM of Denominators means LCM of 173,808 as per the given fractions.
LCM of 173,808 is 139784 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 894,1633
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 894
List of positive integer factors of 894 that divides 894 without a remainder.
1,2,3,6,149,298,447,894
Factors of 1633
List of positive integer factors of 1633 that divides 1633 without a remainder.
1,23,71,1633
Greatest Common Factor
We found the factors 894,1633 . The biggest common factor number is the GCF number.
So the greatest common factor 894,1633 is 1.
Lets's calculate LCM of 173,808
Given numbers has no common factors except 1. So, there LCM is their product i.e 139784
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/139784
Therefore, the GCF of Fractions 894/173,1633/808 is 1/139784
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 173,808 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(173,808) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(173,808) x common factors =1 x 1 = 1
LCM(173,808) = ( 173 × 808 ) / 1
LCM(173,808) = 139784 / 1
LCM(173,808) = 139784
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 894/173, 1633/808?
Answer: GCF of Numerators as per given numbers 894/173, 1633/808 is
GCF of Numerators i.e. for 894,1633 is 1
LCM of denominators i.e. for 173,808 is 139784.
Thus, GCF of Fractions is 1/139784.Finally, GCF of Fractions for 894/173, 1633/808 is 1/139784.