Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8639/335,1509/5082
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 8639,1509
Greatest Common Factor of Numerators i.e. GCF of 8639,1509 is 1 .
LCM of Denominators means LCM of 335,5082 as per the given fractions.
LCM of 335,5082 is 1702470 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8639,1509
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8639
List of positive integer factors of 8639 that divides 8639 without a remainder.
1,53,163,8639
Factors of 1509
List of positive integer factors of 1509 that divides 1509 without a remainder.
1,3,503,1509
Greatest Common Factor
We found the factors 8639,1509 . The biggest common factor number is the GCF number.
So the greatest common factor 8639,1509 is 1.
Lets's calculate LCM of 335,5082
Given numbers has no common factors except 1. So, there LCM is their product i.e 1702470
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1702470
Therefore, the GCF of Fractions 8639/335,1509/5082 is 1/1702470
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 335,5082 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(335,5082) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(335,5082) x common factors =1 x 1 = 1
LCM(335,5082) = ( 335 × 5082 ) / 1
LCM(335,5082) = 1702470 / 1
LCM(335,5082) = 1702470
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 8639/335, 1509/5082?
Answer: GCF of Numerators as per given numbers 8639/335, 1509/5082 is
GCF of Numerators i.e. for 8639,1509 is 1
LCM of denominators i.e. for 335,5082 is 1702470.
Thus, GCF of Fractions is 1/1702470.Finally, GCF of Fractions for 8639/335, 1509/5082 is 1/1702470.