Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1035/463,5501/3486
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 1035,5501
Greatest Common Factor of Numerators i.e. GCF of 1035,5501 is 1 .
LCM of Denominators means LCM of 463,3486 as per the given fractions.
LCM of 463,3486 is 1614018 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1035,5501
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1035
List of positive integer factors of 1035 that divides 1035 without a remainder.
1,3,5,9,15,23,45,69,115,207,345,1035
Factors of 5501
List of positive integer factors of 5501 that divides 5501 without a remainder.
1,5501
Greatest Common Factor
We found the factors 1035,5501 . The biggest common factor number is the GCF number.
So the greatest common factor 1035,5501 is 1.
Lets's calculate LCM of 463,3486
Given numbers has no common factors except 1. So, there LCM is their product i.e 1614018
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1614018
Therefore, the GCF of Fractions 1035/463,5501/3486 is 1/1614018
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 463,3486 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(463,3486) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(463,3486) x common factors =1 x 1 = 1
LCM(463,3486) = ( 463 × 3486 ) / 1
LCM(463,3486) = 1614018 / 1
LCM(463,3486) = 1614018
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 1035/463, 5501/3486?
Answer: GCF of Numerators as per given numbers 1035/463, 5501/3486 is
GCF of Numerators i.e. for 1035,5501 is 1
LCM of denominators i.e. for 463,3486 is 1614018.
Thus, GCF of Fractions is 1/1614018.Finally, GCF of Fractions for 1035/463, 5501/3486 is 1/1614018.