Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5804/837,1403/365
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 5804,1403
Greatest Common Factor of Numerators i.e. GCF of 5804,1403 is 1 .
LCM of Denominators means LCM of 837,365 as per the given fractions.
LCM of 837,365 is 305505 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5804,1403
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5804
List of positive integer factors of 5804 that divides 5804 without a remainder.
1,2,4,1451,2902,5804
Factors of 1403
List of positive integer factors of 1403 that divides 1403 without a remainder.
1,23,61,1403
Greatest Common Factor
We found the factors 5804,1403 . The biggest common factor number is the GCF number.
So the greatest common factor 5804,1403 is 1.
Lets's calculate LCM of 837,365
Given numbers has no common factors except 1. So, there LCM is their product i.e 305505
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/305505
Therefore, the GCF of Fractions 5804/837,1403/365 is 1/305505
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 837,365 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(837,365) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(837,365) x common factors =1 x 1 = 1
LCM(837,365) = ( 837 × 365 ) / 1
LCM(837,365) = 305505 / 1
LCM(837,365) = 305505
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 5804/837, 1403/365?
Answer: GCF of Numerators as per given numbers 5804/837, 1403/365 is
GCF of Numerators i.e. for 5804,1403 is 1
LCM of denominators i.e. for 837,365 is 305505.
Thus, GCF of Fractions is 1/305505.Finally, GCF of Fractions for 5804/837, 1403/365 is 1/305505.