Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3522/103,4015/3381
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 3522,4015
Greatest Common Factor of Numerators i.e. GCF of 3522,4015 is 1 .
LCM of Denominators means LCM of 103,3381 as per the given fractions.
LCM of 103,3381 is 348243 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3522,4015
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3522
List of positive integer factors of 3522 that divides 3522 without a remainder.
1,2,3,6,587,1174,1761,3522
Factors of 4015
List of positive integer factors of 4015 that divides 4015 without a remainder.
1,5,11,55,73,365,803,4015
Greatest Common Factor
We found the factors 3522,4015 . The biggest common factor number is the GCF number.
So the greatest common factor 3522,4015 is 1.
Lets's calculate LCM of 103,3381
Given numbers has no common factors except 1. So, there LCM is their product i.e 348243
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/348243
Therefore, the GCF of Fractions 3522/103,4015/3381 is 1/348243
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 103,3381 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(103,3381) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(103,3381) x common factors =1 x 1 = 1
LCM(103,3381) = ( 103 × 3381 ) / 1
LCM(103,3381) = 348243 / 1
LCM(103,3381) = 348243
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 3522/103, 4015/3381?
Answer: GCF of Numerators as per given numbers 3522/103, 4015/3381 is
GCF of Numerators i.e. for 3522,4015 is 1
LCM of denominators i.e. for 103,3381 is 348243.
Thus, GCF of Fractions is 1/348243.Finally, GCF of Fractions for 3522/103, 4015/3381 is 1/348243.