Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6018/22,3832/509
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 6018,3832
Greatest Common Factor of Numerators i.e. GCF of 6018,3832 is 2 .
LCM of Denominators means LCM of 22,509 as per the given fractions.
LCM of 22,509 is 11198 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6018,3832
2 | 6018, 3832 |
3009, 1916 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 6018
List of positive integer factors of 6018 that divides 6018 without a remainder.
1,2,3,6,17,34,51,59,102,118,177,354,1003,2006,3009,6018
Factors of 3832
List of positive integer factors of 3832 that divides 3832 without a remainder.
1,2,4,8,479,958,1916,3832
Greatest Common Factor
We found the factors 6018,3832 . The biggest common factor number is the GCF number.
So the greatest common factor 6018,3832 is 2.
Lets's calculate LCM of 22,509
Given numbers has no common factors except 1. So, there LCM is their product i.e 11198
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11198
Therefore, the GCF of Fractions 6018/22,3832/509 is 2/11198
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 22,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,509) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(22,509) x common factors =1 x 1 = 1
LCM(22,509) = ( 22 × 509 ) / 1
LCM(22,509) = 11198 / 1
LCM(22,509) = 11198
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 6018/22, 3832/509?
Answer: GCF of Numerators as per given numbers 6018/22, 3832/509 is
GCF of Numerators i.e. for 6018,3832 is 2
LCM of denominators i.e. for 22,509 is 11198.
Thus, GCF of Fractions is 2/11198.Finally, GCF of Fractions for 6018/22, 3832/509 is 2/11198.