Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1003/835,1309/809
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 1003,1309
Greatest Common Factor of Numerators i.e. GCF of 1003,1309 is 17 .
LCM of Denominators means LCM of 835,809 as per the given fractions.
LCM of 835,809 is 675515 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1003,1309
17 | 1003, 1309 |
59, 77 |
∴ So the GCF of the given numbers is 17 = 17
Factors of 1003
List of positive integer factors of 1003 that divides 1003 without a remainder.
1,17,59,1003
Factors of 1309
List of positive integer factors of 1309 that divides 1309 without a remainder.
1,7,11,17,77,119,187,1309
Greatest Common Factor
We found the factors 1003,1309 . The biggest common factor number is the GCF number.
So the greatest common factor 1003,1309 is 17.
Lets's calculate LCM of 835,809
Given numbers has no common factors except 1. So, there LCM is their product i.e 675515
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/675515
Therefore, the GCF of Fractions 1003/835,1309/809 is 17/675515
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 835,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(835,809) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(835,809) x common factors =1 x 1 = 1
LCM(835,809) = ( 835 × 809 ) / 1
LCM(835,809) = 675515 / 1
LCM(835,809) = 675515
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 1003/835, 1309/809?
Answer: GCF of Numerators as per given numbers 1003/835, 1309/809 is
GCF of Numerators i.e. for 1003,1309 is 17
LCM of denominators i.e. for 835,809 is 675515.
Thus, GCF of Fractions is 17/675515.Finally, GCF of Fractions for 1003/835, 1309/809 is 17/675515.