Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8269/13,3558/699
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 8269,3558
Greatest Common Factor of Numerators i.e. GCF of 8269,3558 is 1 .
LCM of Denominators means LCM of 13,699 as per the given fractions.
LCM of 13,699 is 9087 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8269,3558
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8269
List of positive integer factors of 8269 that divides 8269 without a remainder.
1,8269
Factors of 3558
List of positive integer factors of 3558 that divides 3558 without a remainder.
1,2,3,6,593,1186,1779,3558
Greatest Common Factor
We found the factors 8269,3558 . The biggest common factor number is the GCF number.
So the greatest common factor 8269,3558 is 1.
Lets's calculate LCM of 13,699
Given numbers has no common factors except 1. So, there LCM is their product i.e 9087
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9087
Therefore, the GCF of Fractions 8269/13,3558/699 is 1/9087
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 13,699 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,699) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(13,699) x common factors =1 x 1 = 1
LCM(13,699) = ( 13 × 699 ) / 1
LCM(13,699) = 9087 / 1
LCM(13,699) = 9087
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 8269/13, 3558/699?
Answer: GCF of Numerators as per given numbers 8269/13, 3558/699 is
GCF of Numerators i.e. for 8269,3558 is 1
LCM of denominators i.e. for 13,699 is 9087.
Thus, GCF of Fractions is 1/9087.Finally, GCF of Fractions for 8269/13, 3558/699 is 1/9087.