Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4181/804,9963/677
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 4181,9963
Greatest Common Factor of Numerators i.e. GCF of 4181,9963 is 1 .
LCM of Denominators means LCM of 804,677 as per the given fractions.
LCM of 804,677 is 544308 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4181,9963
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4181
List of positive integer factors of 4181 that divides 4181 without a remainder.
1,37,113,4181
Factors of 9963
List of positive integer factors of 9963 that divides 9963 without a remainder.
1,3,9,27,41,81,123,243,369,1107,3321,9963
Greatest Common Factor
We found the factors 4181,9963 . The biggest common factor number is the GCF number.
So the greatest common factor 4181,9963 is 1.
Lets's calculate LCM of 804,677
Given numbers has no common factors except 1. So, there LCM is their product i.e 544308
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/544308
Therefore, the GCF of Fractions 4181/804,9963/677 is 1/544308
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 804,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(804,677) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(804,677) x common factors =1 x 1 = 1
LCM(804,677) = ( 804 × 677 ) / 1
LCM(804,677) = 544308 / 1
LCM(804,677) = 544308
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 4181/804, 9963/677?
Answer: GCF of Numerators as per given numbers 4181/804, 9963/677 is
GCF of Numerators i.e. for 4181,9963 is 1
LCM of denominators i.e. for 804,677 is 544308.
Thus, GCF of Fractions is 1/544308.Finally, GCF of Fractions for 4181/804, 9963/677 is 1/544308.