Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6427/993,3121/3896
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 6427,3121
Greatest Common Factor of Numerators i.e. GCF of 6427,3121 is 1 .
LCM of Denominators means LCM of 993,3896 as per the given fractions.
LCM of 993,3896 is 3868728 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6427,3121
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6427
List of positive integer factors of 6427 that divides 6427 without a remainder.
1,6427
Factors of 3121
List of positive integer factors of 3121 that divides 3121 without a remainder.
1,3121
Greatest Common Factor
We found the factors 6427,3121 . The biggest common factor number is the GCF number.
So the greatest common factor 6427,3121 is 1.
Lets's calculate LCM of 993,3896
Given numbers has no common factors except 1. So, there LCM is their product i.e 3868728
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3868728
Therefore, the GCF of Fractions 6427/993,3121/3896 is 1/3868728
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 993,3896 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(993,3896) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(993,3896) x common factors =1 x 1 = 1
LCM(993,3896) = ( 993 × 3896 ) / 1
LCM(993,3896) = 3868728 / 1
LCM(993,3896) = 3868728
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 6427/993, 3121/3896?
Answer: GCF of Numerators as per given numbers 6427/993, 3121/3896 is
GCF of Numerators i.e. for 6427,3121 is 1
LCM of denominators i.e. for 993,3896 is 3868728.
Thus, GCF of Fractions is 1/3868728.Finally, GCF of Fractions for 6427/993, 3121/3896 is 1/3868728.