Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7505/594,7767/4259
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 7505,7767
Greatest Common Factor of Numerators i.e. GCF of 7505,7767 is 1 .
LCM of Denominators means LCM of 594,4259 as per the given fractions.
LCM of 594,4259 is 2529846 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7505,7767
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7505
List of positive integer factors of 7505 that divides 7505 without a remainder.
1,5,19,79,95,395,1501,7505
Factors of 7767
List of positive integer factors of 7767 that divides 7767 without a remainder.
1,3,9,863,2589,7767
Greatest Common Factor
We found the factors 7505,7767 . The biggest common factor number is the GCF number.
So the greatest common factor 7505,7767 is 1.
Lets's calculate LCM of 594,4259
Given numbers has no common factors except 1. So, there LCM is their product i.e 2529846
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2529846
Therefore, the GCF of Fractions 7505/594,7767/4259 is 1/2529846
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 594,4259 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(594,4259) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(594,4259) x common factors =1 x 1 = 1
LCM(594,4259) = ( 594 × 4259 ) / 1
LCM(594,4259) = 2529846 / 1
LCM(594,4259) = 2529846
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 7505/594, 7767/4259?
Answer: GCF of Numerators as per given numbers 7505/594, 7767/4259 is
GCF of Numerators i.e. for 7505,7767 is 1
LCM of denominators i.e. for 594,4259 is 2529846.
Thus, GCF of Fractions is 1/2529846.Finally, GCF of Fractions for 7505/594, 7767/4259 is 1/2529846.