Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5905/955,6605/6616
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 5905,6605
Greatest Common Factor of Numerators i.e. GCF of 5905,6605 is 5 .
LCM of Denominators means LCM of 955,6616 as per the given fractions.
LCM of 955,6616 is 6318280 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5905,6605
5 | 5905, 6605 |
1181, 1321 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 5905
List of positive integer factors of 5905 that divides 5905 without a remainder.
1,5,1181,5905
Factors of 6605
List of positive integer factors of 6605 that divides 6605 without a remainder.
1,5,1321,6605
Greatest Common Factor
We found the factors 5905,6605 . The biggest common factor number is the GCF number.
So the greatest common factor 5905,6605 is 5.
Lets's calculate LCM of 955,6616
Given numbers has no common factors except 1. So, there LCM is their product i.e 6318280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/6318280
Therefore, the GCF of Fractions 5905/955,6605/6616 is 5/6318280
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 955,6616 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(955,6616) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(955,6616) x common factors =1 x 1 = 1
LCM(955,6616) = ( 955 × 6616 ) / 1
LCM(955,6616) = 6318280 / 1
LCM(955,6616) = 6318280
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 5905/955, 6605/6616?
Answer: GCF of Numerators as per given numbers 5905/955, 6605/6616 is
GCF of Numerators i.e. for 5905,6605 is 5
LCM of denominators i.e. for 955,6616 is 6318280.
Thus, GCF of Fractions is 5/6318280.Finally, GCF of Fractions for 5905/955, 6605/6616 is 5/6318280.