Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1628/16,3081/377
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 1628,3081
Greatest Common Factor of Numerators i.e. GCF of 1628,3081 is 1 .
LCM of Denominators means LCM of 16,377 as per the given fractions.
LCM of 16,377 is 6032 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1628,3081
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1628
List of positive integer factors of 1628 that divides 1628 without a remainder.
1,2,4,11,22,37,44,74,148,407,814,1628
Factors of 3081
List of positive integer factors of 3081 that divides 3081 without a remainder.
1,3,13,39,79,237,1027,3081
Greatest Common Factor
We found the factors 1628,3081 . The biggest common factor number is the GCF number.
So the greatest common factor 1628,3081 is 1.
Lets's calculate LCM of 16,377
Given numbers has no common factors except 1. So, there LCM is their product i.e 6032
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6032
Therefore, the GCF of Fractions 1628/16,3081/377 is 1/6032
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 16,377 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,377) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(16,377) x common factors =1 x 1 = 1
LCM(16,377) = ( 16 × 377 ) / 1
LCM(16,377) = 6032 / 1
LCM(16,377) = 6032
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 1628/16, 3081/377?
Answer: GCF of Numerators as per given numbers 1628/16, 3081/377 is
GCF of Numerators i.e. for 1628,3081 is 1
LCM of denominators i.e. for 16,377 is 6032.
Thus, GCF of Fractions is 1/6032.Finally, GCF of Fractions for 1628/16, 3081/377 is 1/6032.