Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8627/19,6575/600
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 8627,6575
Greatest Common Factor of Numerators i.e. GCF of 8627,6575 is 1 .
LCM of Denominators means LCM of 19,600 as per the given fractions.
LCM of 19,600 is 11400 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8627,6575
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8627
List of positive integer factors of 8627 that divides 8627 without a remainder.
1,8627
Factors of 6575
List of positive integer factors of 6575 that divides 6575 without a remainder.
1,5,25,263,1315,6575
Greatest Common Factor
We found the factors 8627,6575 . The biggest common factor number is the GCF number.
So the greatest common factor 8627,6575 is 1.
Lets's calculate LCM of 19,600
Given numbers has no common factors except 1. So, there LCM is their product i.e 11400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11400
Therefore, the GCF of Fractions 8627/19,6575/600 is 1/11400
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 19,600 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,600) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(19,600) x common factors =1 x 1 = 1
LCM(19,600) = ( 19 × 600 ) / 1
LCM(19,600) = 11400 / 1
LCM(19,600) = 11400
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 8627/19, 6575/600?
Answer: GCF of Numerators as per given numbers 8627/19, 6575/600 is
GCF of Numerators i.e. for 8627,6575 is 1
LCM of denominators i.e. for 19,600 is 11400.
Thus, GCF of Fractions is 1/11400.Finally, GCF of Fractions for 8627/19, 6575/600 is 1/11400.