Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8090/336,6006/283
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 8090,6006
Greatest Common Factor of Numerators i.e. GCF of 8090,6006 is 2 .
LCM of Denominators means LCM of 336,283 as per the given fractions.
LCM of 336,283 is 95088 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8090,6006
2 | 8090, 6006 |
4045, 3003 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 8090
List of positive integer factors of 8090 that divides 8090 without a remainder.
1,2,5,10,809,1618,4045,8090
Factors of 6006
List of positive integer factors of 6006 that divides 6006 without a remainder.
1,2,3,6,7,11,13,14,21,22,26,33,39,42,66,77,78,91,143,154,182,231,273,286,429,462,546,858,1001,2002,3003,6006
Greatest Common Factor
We found the factors 8090,6006 . The biggest common factor number is the GCF number.
So the greatest common factor 8090,6006 is 2.
Lets's calculate LCM of 336,283
Given numbers has no common factors except 1. So, there LCM is their product i.e 95088
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/95088
Therefore, the GCF of Fractions 8090/336,6006/283 is 2/95088
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 336,283 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(336,283) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(336,283) x common factors =1 x 1 = 1
LCM(336,283) = ( 336 × 283 ) / 1
LCM(336,283) = 95088 / 1
LCM(336,283) = 95088
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 8090/336, 6006/283?
Answer: GCF of Numerators as per given numbers 8090/336, 6006/283 is
GCF of Numerators i.e. for 8090,6006 is 2
LCM of denominators i.e. for 336,283 is 95088.
Thus, GCF of Fractions is 2/95088.Finally, GCF of Fractions for 8090/336, 6006/283 is 2/95088.