Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3434/808,5963/199
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 3434,5963
Greatest Common Factor of Numerators i.e. GCF of 3434,5963 is 1 .
LCM of Denominators means LCM of 808,199 as per the given fractions.
LCM of 808,199 is 160792 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3434,5963
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3434
List of positive integer factors of 3434 that divides 3434 without a remainder.
1,2,17,34,101,202,1717,3434
Factors of 5963
List of positive integer factors of 5963 that divides 5963 without a remainder.
1,67,89,5963
Greatest Common Factor
We found the factors 3434,5963 . The biggest common factor number is the GCF number.
So the greatest common factor 3434,5963 is 1.
Lets's calculate LCM of 808,199
Given numbers has no common factors except 1. So, there LCM is their product i.e 160792
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/160792
Therefore, the GCF of Fractions 3434/808,5963/199 is 1/160792
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 808,199 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(808,199) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(808,199) x common factors =1 x 1 = 1
LCM(808,199) = ( 808 × 199 ) / 1
LCM(808,199) = 160792 / 1
LCM(808,199) = 160792
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 3434/808, 5963/199?
Answer: GCF of Numerators as per given numbers 3434/808, 5963/199 is
GCF of Numerators i.e. for 3434,5963 is 1
LCM of denominators i.e. for 808,199 is 160792.
Thus, GCF of Fractions is 1/160792.Finally, GCF of Fractions for 3434/808, 5963/199 is 1/160792.