Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4859/522,2416/9609
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 4859,2416
Greatest Common Factor of Numerators i.e. GCF of 4859,2416 is 1 .
LCM of Denominators means LCM of 522,9609 as per the given fractions.
LCM of 522,9609 is 1671966 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4859,2416
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4859
List of positive integer factors of 4859 that divides 4859 without a remainder.
1,43,113,4859
Factors of 2416
List of positive integer factors of 2416 that divides 2416 without a remainder.
1,2,4,8,16,151,302,604,1208,2416
Greatest Common Factor
We found the factors 4859,2416 . The biggest common factor number is the GCF number.
So the greatest common factor 4859,2416 is 1.
Lets's calculate LCM of 522,9609
3 | 522, 9609 |
174, 3203 |
∴ So the LCM of the given numbers is 3 x 174 x 3203 = 1671966
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1671966
Therefore, the GCF of Fractions 4859/522,2416/9609 is 1/1671966
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 522,9609 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(522,9609) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(522,9609) x common factors =3 x 1 = 3
LCM(522,9609) = ( 522 × 9609 ) / 3
LCM(522,9609) = 5015898 / 3
LCM(522,9609) = 1671966
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 4859/522, 2416/9609?
Answer: GCF of Numerators as per given numbers 4859/522, 2416/9609 is
GCF of Numerators i.e. for 4859,2416 is 1
LCM of denominators i.e. for 522,9609 is 1671966.
Thus, GCF of Fractions is 1/1671966.Finally, GCF of Fractions for 4859/522, 2416/9609 is 1/1671966.