Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8279/25,9697/973
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 8279,9697
Greatest Common Factor of Numerators i.e. GCF of 8279,9697 is 1 .
LCM of Denominators means LCM of 25,973 as per the given fractions.
LCM of 25,973 is 24325 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8279,9697
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8279
List of positive integer factors of 8279 that divides 8279 without a remainder.
1,17,487,8279
Factors of 9697
List of positive integer factors of 9697 that divides 9697 without a remainder.
1,9697
Greatest Common Factor
We found the factors 8279,9697 . The biggest common factor number is the GCF number.
So the greatest common factor 8279,9697 is 1.
Lets's calculate LCM of 25,973
Given numbers has no common factors except 1. So, there LCM is their product i.e 24325
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24325
Therefore, the GCF of Fractions 8279/25,9697/973 is 1/24325
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 25,973 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,973) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(25,973) x common factors =1 x 1 = 1
LCM(25,973) = ( 25 × 973 ) / 1
LCM(25,973) = 24325 / 1
LCM(25,973) = 24325
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 8279/25, 9697/973?
Answer: GCF of Numerators as per given numbers 8279/25, 9697/973 is
GCF of Numerators i.e. for 8279,9697 is 1
LCM of denominators i.e. for 25,973 is 24325.
Thus, GCF of Fractions is 1/24325.Finally, GCF of Fractions for 8279/25, 9697/973 is 1/24325.