Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 40/589,82/694,392/350
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 40,82,392
Greatest Common Factor of Numerators i.e. GCF of 40,82,392 is 2 .
LCM of Denominators means LCM of 589,694,350 as per the given fractions.
LCM of 589,694,350 is 71534050 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 40,82,392
2 | 40, 82, 392 |
20, 41, 196 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 392
List of positive integer factors of 392 that divides 392 without a remainder.
1,2,4,7,8,14,28,49,56,98,196,392
Greatest Common Factor
We found the factors 40,82,392 . The biggest common factor number is the GCF number.
So the greatest common factor 40,82,392 is 2.
Lets's calculate LCM of 589,694,350
2 | 589, 694, 350 |
589, 347, 175 |
∴ So the LCM of the given numbers is 2 x 589 x 347 x 175 = 71534050
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/71534050
Therefore, the GCF of Fractions 40/589,82/694,392/350 is 2/71534050
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 589,694,350 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(589,694,350) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(589,694,350) x common factors =1 x 2 = 2
LCM(589,694,350) = ( 589 × 694 × 350 ) / 2
LCM(589,694,350) = 143068100 / 2
LCM(589,694,350) = 71534050
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 40/589, 82/694, 392/350?
Answer: GCF of Numerators as per given numbers 40/589, 82/694, 392/350 is
GCF of Numerators i.e. for 40,82,392 is 2
LCM of denominators i.e. for 589,694,350 is 71534050.
Thus, GCF of Fractions is 2/71534050.Finally, GCF of Fractions for 40/589, 82/694, 392/350 is 2/71534050.