Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1687/18,3533/115
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 1687,3533
Greatest Common Factor of Numerators i.e. GCF of 1687,3533 is 1 .
LCM of Denominators means LCM of 18,115 as per the given fractions.
LCM of 18,115 is 2070 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1687,3533
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1687
List of positive integer factors of 1687 that divides 1687 without a remainder.
1,7,241,1687
Factors of 3533
List of positive integer factors of 3533 that divides 3533 without a remainder.
1,3533
Greatest Common Factor
We found the factors 1687,3533 . The biggest common factor number is the GCF number.
So the greatest common factor 1687,3533 is 1.
Lets's calculate LCM of 18,115
Given numbers has no common factors except 1. So, there LCM is their product i.e 2070
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2070
Therefore, the GCF of Fractions 1687/18,3533/115 is 1/2070
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 18,115 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,115) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(18,115) x common factors =1 x 1 = 1
LCM(18,115) = ( 18 × 115 ) / 1
LCM(18,115) = 2070 / 1
LCM(18,115) = 2070
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 1687/18, 3533/115?
Answer: GCF of Numerators as per given numbers 1687/18, 3533/115 is
GCF of Numerators i.e. for 1687,3533 is 1
LCM of denominators i.e. for 18,115 is 2070.
Thus, GCF of Fractions is 1/2070.Finally, GCF of Fractions for 1687/18, 3533/115 is 1/2070.