Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1615/59,6652/675
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 1615,6652
Greatest Common Factor of Numerators i.e. GCF of 1615,6652 is 1 .
LCM of Denominators means LCM of 59,675 as per the given fractions.
LCM of 59,675 is 39825 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1615,6652
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1615
List of positive integer factors of 1615 that divides 1615 without a remainder.
1,5,17,19,85,95,323,1615
Factors of 6652
List of positive integer factors of 6652 that divides 6652 without a remainder.
1,2,4,1663,3326,6652
Greatest Common Factor
We found the factors 1615,6652 . The biggest common factor number is the GCF number.
So the greatest common factor 1615,6652 is 1.
Lets's calculate LCM of 59,675
Given numbers has no common factors except 1. So, there LCM is their product i.e 39825
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39825
Therefore, the GCF of Fractions 1615/59,6652/675 is 1/39825
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 59,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,675) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,675) x common factors =1 x 1 = 1
LCM(59,675) = ( 59 × 675 ) / 1
LCM(59,675) = 39825 / 1
LCM(59,675) = 39825
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 1615/59, 6652/675?
Answer: GCF of Numerators as per given numbers 1615/59, 6652/675 is
GCF of Numerators i.e. for 1615,6652 is 1
LCM of denominators i.e. for 59,675 is 39825.
Thus, GCF of Fractions is 1/39825.Finally, GCF of Fractions for 1615/59, 6652/675 is 1/39825.