Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5727/308,1965/3003
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 5727,1965
Greatest Common Factor of Numerators i.e. GCF of 5727,1965 is 3 .
LCM of Denominators means LCM of 308,3003 as per the given fractions.
LCM of 308,3003 is 12012 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5727,1965
3 | 5727, 1965 |
1909, 655 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 5727
List of positive integer factors of 5727 that divides 5727 without a remainder.
1,3,23,69,83,249,1909,5727
Factors of 1965
List of positive integer factors of 1965 that divides 1965 without a remainder.
1,3,5,15,131,393,655,1965
Greatest Common Factor
We found the factors 5727,1965 . The biggest common factor number is the GCF number.
So the greatest common factor 5727,1965 is 3.
Lets's calculate LCM of 308,3003
7 | 308, 3003 |
11 | 44, 429 |
4, 39 |
∴ So the LCM of the given numbers is 7 x 11 x 4 x 39 = 12012
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/12012
Therefore, the GCF of Fractions 5727/308,1965/3003 is 3/12012
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 308,3003 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(308,3003) = 77
common factors(in case of two or more numbers have common factors) = 1
GCF(308,3003) x common factors =77 x 1 = 77
LCM(308,3003) = ( 308 × 3003 ) / 77
LCM(308,3003) = 924924 / 77
LCM(308,3003) = 12012
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 5727/308, 1965/3003?
Answer: GCF of Numerators as per given numbers 5727/308, 1965/3003 is
GCF of Numerators i.e. for 5727,1965 is 3
LCM of denominators i.e. for 308,3003 is 12012.
Thus, GCF of Fractions is 3/12012.Finally, GCF of Fractions for 5727/308, 1965/3003 is 3/12012.