Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1609/321,6432/811
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 1609,6432
Greatest Common Factor of Numerators i.e. GCF of 1609,6432 is 1 .
LCM of Denominators means LCM of 321,811 as per the given fractions.
LCM of 321,811 is 260331 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1609,6432
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1609
List of positive integer factors of 1609 that divides 1609 without a remainder.
1,1609
Factors of 6432
List of positive integer factors of 6432 that divides 6432 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,67,96,134,201,268,402,536,804,1072,1608,2144,3216,6432
Greatest Common Factor
We found the factors 1609,6432 . The biggest common factor number is the GCF number.
So the greatest common factor 1609,6432 is 1.
Lets's calculate LCM of 321,811
Given numbers has no common factors except 1. So, there LCM is their product i.e 260331
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/260331
Therefore, the GCF of Fractions 1609/321,6432/811 is 1/260331
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 321,811 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(321,811) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(321,811) x common factors =1 x 1 = 1
LCM(321,811) = ( 321 × 811 ) / 1
LCM(321,811) = 260331 / 1
LCM(321,811) = 260331
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 1609/321, 6432/811?
Answer: GCF of Numerators as per given numbers 1609/321, 6432/811 is
GCF of Numerators i.e. for 1609,6432 is 1
LCM of denominators i.e. for 321,811 is 260331.
Thus, GCF of Fractions is 1/260331.Finally, GCF of Fractions for 1609/321, 6432/811 is 1/260331.