Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6150/709,5788/1817
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 6150,5788
Greatest Common Factor of Numerators i.e. GCF of 6150,5788 is 2 .
LCM of Denominators means LCM of 709,1817 as per the given fractions.
LCM of 709,1817 is 1288253 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6150,5788
2 | 6150, 5788 |
3075, 2894 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 6150
List of positive integer factors of 6150 that divides 6150 without a remainder.
1,2,3,5,6,10,15,25,30,41,50,75,82,123,150,205,246,410,615,1025,1230,2050,3075,6150
Factors of 5788
List of positive integer factors of 5788 that divides 5788 without a remainder.
1,2,4,1447,2894,5788
Greatest Common Factor
We found the factors 6150,5788 . The biggest common factor number is the GCF number.
So the greatest common factor 6150,5788 is 2.
Lets's calculate LCM of 709,1817
Given numbers has no common factors except 1. So, there LCM is their product i.e 1288253
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1288253
Therefore, the GCF of Fractions 6150/709,5788/1817 is 2/1288253
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 709,1817 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(709,1817) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(709,1817) x common factors =1 x 1 = 1
LCM(709,1817) = ( 709 × 1817 ) / 1
LCM(709,1817) = 1288253 / 1
LCM(709,1817) = 1288253
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 6150/709, 5788/1817?
Answer: GCF of Numerators as per given numbers 6150/709, 5788/1817 is
GCF of Numerators i.e. for 6150,5788 is 2
LCM of denominators i.e. for 709,1817 is 1288253.
Thus, GCF of Fractions is 2/1288253.Finally, GCF of Fractions for 6150/709, 5788/1817 is 2/1288253.