Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 831/228,3722/629
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 831,3722
Greatest Common Factor of Numerators i.e. GCF of 831,3722 is 1 .
LCM of Denominators means LCM of 228,629 as per the given fractions.
LCM of 228,629 is 143412 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 831,3722
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 831
List of positive integer factors of 831 that divides 831 without a remainder.
1,3,277,831
Factors of 3722
List of positive integer factors of 3722 that divides 3722 without a remainder.
1,2,1861,3722
Greatest Common Factor
We found the factors 831,3722 . The biggest common factor number is the GCF number.
So the greatest common factor 831,3722 is 1.
Lets's calculate LCM of 228,629
Given numbers has no common factors except 1. So, there LCM is their product i.e 143412
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/143412
Therefore, the GCF of Fractions 831/228,3722/629 is 1/143412
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 228,629 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(228,629) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(228,629) x common factors =1 x 1 = 1
LCM(228,629) = ( 228 × 629 ) / 1
LCM(228,629) = 143412 / 1
LCM(228,629) = 143412
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 831/228, 3722/629?
Answer: GCF of Numerators as per given numbers 831/228, 3722/629 is
GCF of Numerators i.e. for 831,3722 is 1
LCM of denominators i.e. for 228,629 is 143412.
Thus, GCF of Fractions is 1/143412.Finally, GCF of Fractions for 831/228, 3722/629 is 1/143412.