Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1808/454,9505/809
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 1808,9505
Greatest Common Factor of Numerators i.e. GCF of 1808,9505 is 1 .
LCM of Denominators means LCM of 454,809 as per the given fractions.
LCM of 454,809 is 367286 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1808,9505
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1808
List of positive integer factors of 1808 that divides 1808 without a remainder.
1,2,4,8,16,113,226,452,904,1808
Factors of 9505
List of positive integer factors of 9505 that divides 9505 without a remainder.
1,5,1901,9505
Greatest Common Factor
We found the factors 1808,9505 . The biggest common factor number is the GCF number.
So the greatest common factor 1808,9505 is 1.
Lets's calculate LCM of 454,809
Given numbers has no common factors except 1. So, there LCM is their product i.e 367286
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/367286
Therefore, the GCF of Fractions 1808/454,9505/809 is 1/367286
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 454,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(454,809) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(454,809) x common factors =1 x 1 = 1
LCM(454,809) = ( 454 × 809 ) / 1
LCM(454,809) = 367286 / 1
LCM(454,809) = 367286
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 1808/454, 9505/809?
Answer: GCF of Numerators as per given numbers 1808/454, 9505/809 is
GCF of Numerators i.e. for 1808,9505 is 1
LCM of denominators i.e. for 454,809 is 367286.
Thus, GCF of Fractions is 1/367286.Finally, GCF of Fractions for 1808/454, 9505/809 is 1/367286.