Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2146/604,1566/551
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 2146,1566
Greatest Common Factor of Numerators i.e. GCF of 2146,1566 is 58 .
LCM of Denominators means LCM of 604,551 as per the given fractions.
LCM of 604,551 is 332804 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2146,1566
2 | 2146, 1566 |
29 | 1073, 783 |
37, 27 |
∴ So the GCF of the given numbers is 2 x 29 = 58
Factors of 2146
List of positive integer factors of 2146 that divides 2146 without a remainder.
1,2,29,37,58,74,1073,2146
Factors of 1566
List of positive integer factors of 1566 that divides 1566 without a remainder.
1,2,3,6,9,18,27,29,54,58,87,174,261,522,783,1566
Greatest Common Factor
We found the factors 2146,1566 . The biggest common factor number is the GCF number.
So the greatest common factor 2146,1566 is 58.
Lets's calculate LCM of 604,551
Given numbers has no common factors except 1. So, there LCM is their product i.e 332804
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 58/332804
Therefore, the GCF of Fractions 2146/604,1566/551 is 58/332804
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 604,551 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(604,551) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(604,551) x common factors =1 x 1 = 1
LCM(604,551) = ( 604 × 551 ) / 1
LCM(604,551) = 332804 / 1
LCM(604,551) = 332804
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 2146/604, 1566/551?
Answer: GCF of Numerators as per given numbers 2146/604, 1566/551 is
GCF of Numerators i.e. for 2146,1566 is 58
LCM of denominators i.e. for 604,551 is 332804.
Thus, GCF of Fractions is 58/332804.Finally, GCF of Fractions for 2146/604, 1566/551 is 58/332804.