Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5109/832,6602/1887
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 5109,6602
Greatest Common Factor of Numerators i.e. GCF of 5109,6602 is 1 .
LCM of Denominators means LCM of 832,1887 as per the given fractions.
LCM of 832,1887 is 1569984 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5109,6602
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5109
List of positive integer factors of 5109 that divides 5109 without a remainder.
1,3,13,39,131,393,1703,5109
Factors of 6602
List of positive integer factors of 6602 that divides 6602 without a remainder.
1,2,3301,6602
Greatest Common Factor
We found the factors 5109,6602 . The biggest common factor number is the GCF number.
So the greatest common factor 5109,6602 is 1.
Lets's calculate LCM of 832,1887
Given numbers has no common factors except 1. So, there LCM is their product i.e 1569984
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1569984
Therefore, the GCF of Fractions 5109/832,6602/1887 is 1/1569984
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 832,1887 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(832,1887) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(832,1887) x common factors =1 x 1 = 1
LCM(832,1887) = ( 832 × 1887 ) / 1
LCM(832,1887) = 1569984 / 1
LCM(832,1887) = 1569984
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 5109/832, 6602/1887?
Answer: GCF of Numerators as per given numbers 5109/832, 6602/1887 is
GCF of Numerators i.e. for 5109,6602 is 1
LCM of denominators i.e. for 832,1887 is 1569984.
Thus, GCF of Fractions is 1/1569984.Finally, GCF of Fractions for 5109/832, 6602/1887 is 1/1569984.