Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2727/934,3324/569
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 2727,3324
Greatest Common Factor of Numerators i.e. GCF of 2727,3324 is 3 .
LCM of Denominators means LCM of 934,569 as per the given fractions.
LCM of 934,569 is 531446 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2727,3324
3 | 2727, 3324 |
909, 1108 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 2727
List of positive integer factors of 2727 that divides 2727 without a remainder.
1,3,9,27,101,303,909,2727
Factors of 3324
List of positive integer factors of 3324 that divides 3324 without a remainder.
1,2,3,4,6,12,277,554,831,1108,1662,3324
Greatest Common Factor
We found the factors 2727,3324 . The biggest common factor number is the GCF number.
So the greatest common factor 2727,3324 is 3.
Lets's calculate LCM of 934,569
Given numbers has no common factors except 1. So, there LCM is their product i.e 531446
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/531446
Therefore, the GCF of Fractions 2727/934,3324/569 is 3/531446
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 934,569 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(934,569) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(934,569) x common factors =1 x 1 = 1
LCM(934,569) = ( 934 × 569 ) / 1
LCM(934,569) = 531446 / 1
LCM(934,569) = 531446
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 2727/934, 3324/569?
Answer: GCF of Numerators as per given numbers 2727/934, 3324/569 is
GCF of Numerators i.e. for 2727,3324 is 3
LCM of denominators i.e. for 934,569 is 531446.
Thus, GCF of Fractions is 3/531446.Finally, GCF of Fractions for 2727/934, 3324/569 is 3/531446.