Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7466/601,8642/6043
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 7466,8642
Greatest Common Factor of Numerators i.e. GCF of 7466,8642 is 2 .
LCM of Denominators means LCM of 601,6043 as per the given fractions.
LCM of 601,6043 is 3631843 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7466,8642
2 | 7466, 8642 |
3733, 4321 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 7466
List of positive integer factors of 7466 that divides 7466 without a remainder.
1,2,3733,7466
Factors of 8642
List of positive integer factors of 8642 that divides 8642 without a remainder.
1,2,29,58,149,298,4321,8642
Greatest Common Factor
We found the factors 7466,8642 . The biggest common factor number is the GCF number.
So the greatest common factor 7466,8642 is 2.
Lets's calculate LCM of 601,6043
Given numbers has no common factors except 1. So, there LCM is their product i.e 3631843
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3631843
Therefore, the GCF of Fractions 7466/601,8642/6043 is 2/3631843
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 601,6043 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(601,6043) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(601,6043) x common factors =1 x 1 = 1
LCM(601,6043) = ( 601 × 6043 ) / 1
LCM(601,6043) = 3631843 / 1
LCM(601,6043) = 3631843
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 7466/601, 8642/6043?
Answer: GCF of Numerators as per given numbers 7466/601, 8642/6043 is
GCF of Numerators i.e. for 7466,8642 is 2
LCM of denominators i.e. for 601,6043 is 3631843.
Thus, GCF of Fractions is 2/3631843.Finally, GCF of Fractions for 7466/601, 8642/6043 is 2/3631843.