Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8877/601,9804/3594
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 8877,9804
Greatest Common Factor of Numerators i.e. GCF of 8877,9804 is 3 .
LCM of Denominators means LCM of 601,3594 as per the given fractions.
LCM of 601,3594 is 2159994 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8877,9804
3 | 8877, 9804 |
2959, 3268 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 8877
List of positive integer factors of 8877 that divides 8877 without a remainder.
1,3,11,33,269,807,2959,8877
Factors of 9804
List of positive integer factors of 9804 that divides 9804 without a remainder.
1,2,3,4,6,12,19,38,43,57,76,86,114,129,172,228,258,516,817,1634,2451,3268,4902,9804
Greatest Common Factor
We found the factors 8877,9804 . The biggest common factor number is the GCF number.
So the greatest common factor 8877,9804 is 3.
Lets's calculate LCM of 601,3594
Given numbers has no common factors except 1. So, there LCM is their product i.e 2159994
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2159994
Therefore, the GCF of Fractions 8877/601,9804/3594 is 3/2159994
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 601,3594 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(601,3594) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(601,3594) x common factors =1 x 1 = 1
LCM(601,3594) = ( 601 × 3594 ) / 1
LCM(601,3594) = 2159994 / 1
LCM(601,3594) = 2159994
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 8877/601, 9804/3594?
Answer: GCF of Numerators as per given numbers 8877/601, 9804/3594 is
GCF of Numerators i.e. for 8877,9804 is 3
LCM of denominators i.e. for 601,3594 is 2159994.
Thus, GCF of Fractions is 3/2159994.Finally, GCF of Fractions for 8877/601, 9804/3594 is 3/2159994.