Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6343/361,8598/1604
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 6343,8598
Greatest Common Factor of Numerators i.e. GCF of 6343,8598 is 1 .
LCM of Denominators means LCM of 361,1604 as per the given fractions.
LCM of 361,1604 is 579044 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6343,8598
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6343
List of positive integer factors of 6343 that divides 6343 without a remainder.
1,6343
Factors of 8598
List of positive integer factors of 8598 that divides 8598 without a remainder.
1,2,3,6,1433,2866,4299,8598
Greatest Common Factor
We found the factors 6343,8598 . The biggest common factor number is the GCF number.
So the greatest common factor 6343,8598 is 1.
Lets's calculate LCM of 361,1604
Given numbers has no common factors except 1. So, there LCM is their product i.e 579044
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/579044
Therefore, the GCF of Fractions 6343/361,8598/1604 is 1/579044
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 361,1604 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(361,1604) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(361,1604) x common factors =1 x 1 = 1
LCM(361,1604) = ( 361 × 1604 ) / 1
LCM(361,1604) = 579044 / 1
LCM(361,1604) = 579044
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 6343/361, 8598/1604?
Answer: GCF of Numerators as per given numbers 6343/361, 8598/1604 is
GCF of Numerators i.e. for 6343,8598 is 1
LCM of denominators i.e. for 361,1604 is 579044.
Thus, GCF of Fractions is 1/579044.Finally, GCF of Fractions for 6343/361, 8598/1604 is 1/579044.