Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 994/290,545/461,590/372
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 994,545,590
Greatest Common Factor of Numerators i.e. GCF of 994,545,590 is 1 .
LCM of Denominators means LCM of 290,461,372 as per the given fractions.
LCM of 290,461,372 is 24866340 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 994,545,590
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 994
List of positive integer factors of 994 that divides 994 without a remainder.
1,2,7,14,71,142,497,994
Factors of 545
List of positive integer factors of 545 that divides 545 without a remainder.
1,5,109,545
Factors of 590
List of positive integer factors of 590 that divides 590 without a remainder.
1,2,5,10,59,118,295,590
Greatest Common Factor
We found the factors 994,545,590 . The biggest common factor number is the GCF number.
So the greatest common factor 994,545,590 is 1.
Lets's calculate LCM of 290,461,372
2 | 290, 461, 372 |
145, 461, 186 |
∴ So the LCM of the given numbers is 2 x 145 x 461 x 186 = 24866340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24866340
Therefore, the GCF of Fractions 994/290,545/461,590/372 is 1/24866340
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 290,461,372 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(290,461,372) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(290,461,372) x common factors =1 x 2 = 2
LCM(290,461,372) = ( 290 × 461 × 372 ) / 2
LCM(290,461,372) = 49732680 / 2
LCM(290,461,372) = 24866340
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 994/290, 545/461, 590/372?
Answer: GCF of Numerators as per given numbers 994/290, 545/461, 590/372 is
GCF of Numerators i.e. for 994,545,590 is 1
LCM of denominators i.e. for 290,461,372 is 24866340.
Thus, GCF of Fractions is 1/24866340.Finally, GCF of Fractions for 994/290, 545/461, 590/372 is 1/24866340.