Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 321/648,9925/3883
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 321,9925
Greatest Common Factor of Numerators i.e. GCF of 321,9925 is 1 .
LCM of Denominators means LCM of 648,3883 as per the given fractions.
LCM of 648,3883 is 2516184 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 321,9925
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 321
List of positive integer factors of 321 that divides 321 without a remainder.
1,3,107,321
Factors of 9925
List of positive integer factors of 9925 that divides 9925 without a remainder.
1,5,25,397,1985,9925
Greatest Common Factor
We found the factors 321,9925 . The biggest common factor number is the GCF number.
So the greatest common factor 321,9925 is 1.
Lets's calculate LCM of 648,3883
Given numbers has no common factors except 1. So, there LCM is their product i.e 2516184
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2516184
Therefore, the GCF of Fractions 321/648,9925/3883 is 1/2516184
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 648,3883 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(648,3883) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(648,3883) x common factors =1 x 1 = 1
LCM(648,3883) = ( 648 × 3883 ) / 1
LCM(648,3883) = 2516184 / 1
LCM(648,3883) = 2516184
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 321/648, 9925/3883?
Answer: GCF of Numerators as per given numbers 321/648, 9925/3883 is
GCF of Numerators i.e. for 321,9925 is 1
LCM of denominators i.e. for 648,3883 is 2516184.
Thus, GCF of Fractions is 1/2516184.Finally, GCF of Fractions for 321/648, 9925/3883 is 1/2516184.