Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3828/633,3337/913
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 3828,3337
Greatest Common Factor of Numerators i.e. GCF of 3828,3337 is 1 .
LCM of Denominators means LCM of 633,913 as per the given fractions.
LCM of 633,913 is 577929 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3828,3337
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3828
List of positive integer factors of 3828 that divides 3828 without a remainder.
1,2,3,4,6,11,12,22,29,33,44,58,66,87,116,132,174,319,348,638,957,1276,1914,3828
Factors of 3337
List of positive integer factors of 3337 that divides 3337 without a remainder.
1,47,71,3337
Greatest Common Factor
We found the factors 3828,3337 . The biggest common factor number is the GCF number.
So the greatest common factor 3828,3337 is 1.
Lets's calculate LCM of 633,913
Given numbers has no common factors except 1. So, there LCM is their product i.e 577929
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/577929
Therefore, the GCF of Fractions 3828/633,3337/913 is 1/577929
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 633,913 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(633,913) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(633,913) x common factors =1 x 1 = 1
LCM(633,913) = ( 633 × 913 ) / 1
LCM(633,913) = 577929 / 1
LCM(633,913) = 577929
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 3828/633, 3337/913?
Answer: GCF of Numerators as per given numbers 3828/633, 3337/913 is
GCF of Numerators i.e. for 3828,3337 is 1
LCM of denominators i.e. for 633,913 is 577929.
Thus, GCF of Fractions is 1/577929.Finally, GCF of Fractions for 3828/633, 3337/913 is 1/577929.