Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2808/591,3206/6457
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 2808,3206
Greatest Common Factor of Numerators i.e. GCF of 2808,3206 is 2 .
LCM of Denominators means LCM of 591,6457 as per the given fractions.
LCM of 591,6457 is 3816087 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2808,3206
2 | 2808, 3206 |
1404, 1603 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 2808
List of positive integer factors of 2808 that divides 2808 without a remainder.
1,2,3,4,6,8,9,12,13,18,24,26,27,36,39,52,54,72,78,104,108,117,156,216,234,312,351,468,702,936,1404,2808
Factors of 3206
List of positive integer factors of 3206 that divides 3206 without a remainder.
1,2,7,14,229,458,1603,3206
Greatest Common Factor
We found the factors 2808,3206 . The biggest common factor number is the GCF number.
So the greatest common factor 2808,3206 is 2.
Lets's calculate LCM of 591,6457
Given numbers has no common factors except 1. So, there LCM is their product i.e 3816087
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3816087
Therefore, the GCF of Fractions 2808/591,3206/6457 is 2/3816087
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 591,6457 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(591,6457) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(591,6457) x common factors =1 x 1 = 1
LCM(591,6457) = ( 591 × 6457 ) / 1
LCM(591,6457) = 3816087 / 1
LCM(591,6457) = 3816087
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 2808/591, 3206/6457?
Answer: GCF of Numerators as per given numbers 2808/591, 3206/6457 is
GCF of Numerators i.e. for 2808,3206 is 2
LCM of denominators i.e. for 591,6457 is 3816087.
Thus, GCF of Fractions is 2/3816087.Finally, GCF of Fractions for 2808/591, 3206/6457 is 2/3816087.