Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2231/940,3030/4477
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 2231,3030
Greatest Common Factor of Numerators i.e. GCF of 2231,3030 is 1 .
LCM of Denominators means LCM of 940,4477 as per the given fractions.
LCM of 940,4477 is 4208380 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2231,3030
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2231
List of positive integer factors of 2231 that divides 2231 without a remainder.
1,23,97,2231
Factors of 3030
List of positive integer factors of 3030 that divides 3030 without a remainder.
1,2,3,5,6,10,15,30,101,202,303,505,606,1010,1515,3030
Greatest Common Factor
We found the factors 2231,3030 . The biggest common factor number is the GCF number.
So the greatest common factor 2231,3030 is 1.
Lets's calculate LCM of 940,4477
Given numbers has no common factors except 1. So, there LCM is their product i.e 4208380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4208380
Therefore, the GCF of Fractions 2231/940,3030/4477 is 1/4208380
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 940,4477 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(940,4477) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(940,4477) x common factors =1 x 1 = 1
LCM(940,4477) = ( 940 × 4477 ) / 1
LCM(940,4477) = 4208380 / 1
LCM(940,4477) = 4208380
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 2231/940, 3030/4477?
Answer: GCF of Numerators as per given numbers 2231/940, 3030/4477 is
GCF of Numerators i.e. for 2231,3030 is 1
LCM of denominators i.e. for 940,4477 is 4208380.
Thus, GCF of Fractions is 1/4208380.Finally, GCF of Fractions for 2231/940, 3030/4477 is 1/4208380.