Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4349/881,8697/1417
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 4349,8697
Greatest Common Factor of Numerators i.e. GCF of 4349,8697 is 1 .
LCM of Denominators means LCM of 881,1417 as per the given fractions.
LCM of 881,1417 is 1248377 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4349,8697
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4349
List of positive integer factors of 4349 that divides 4349 without a remainder.
1,4349
Factors of 8697
List of positive integer factors of 8697 that divides 8697 without a remainder.
1,3,13,39,223,669,2899,8697
Greatest Common Factor
We found the factors 4349,8697 . The biggest common factor number is the GCF number.
So the greatest common factor 4349,8697 is 1.
Lets's calculate LCM of 881,1417
Given numbers has no common factors except 1. So, there LCM is their product i.e 1248377
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1248377
Therefore, the GCF of Fractions 4349/881,8697/1417 is 1/1248377
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 881,1417 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(881,1417) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(881,1417) x common factors =1 x 1 = 1
LCM(881,1417) = ( 881 × 1417 ) / 1
LCM(881,1417) = 1248377 / 1
LCM(881,1417) = 1248377
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 4349/881, 8697/1417?
Answer: GCF of Numerators as per given numbers 4349/881, 8697/1417 is
GCF of Numerators i.e. for 4349,8697 is 1
LCM of denominators i.e. for 881,1417 is 1248377.
Thus, GCF of Fractions is 1/1248377.Finally, GCF of Fractions for 4349/881, 8697/1417 is 1/1248377.