Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 541/37,582/26,600/990
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 541,582,600
Greatest Common Factor of Numerators i.e. GCF of 541,582,600 is 1 .
LCM of Denominators means LCM of 37,26,990 as per the given fractions.
LCM of 37,26,990 is 476190 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 541,582,600
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 541
List of positive integer factors of 541 that divides 541 without a remainder.
1,541
Factors of 582
List of positive integer factors of 582 that divides 582 without a remainder.
1,2,3,6,97,194,291,582
Factors of 600
List of positive integer factors of 600 that divides 600 without a remainder.
1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600
Greatest Common Factor
We found the factors 541,582,600 . The biggest common factor number is the GCF number.
So the greatest common factor 541,582,600 is 1.
Lets's calculate LCM of 37,26,990
2 | 37, 26, 990 |
37, 13, 495 |
∴ So the LCM of the given numbers is 2 x 37 x 13 x 495 = 476190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/476190
Therefore, the GCF of Fractions 541/37,582/26,600/990 is 1/476190
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 37,26,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,26,990) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(37,26,990) x common factors =1 x 2 = 2
LCM(37,26,990) = ( 37 × 26 × 990 ) / 2
LCM(37,26,990) = 952380 / 2
LCM(37,26,990) = 476190
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 541/37, 582/26, 600/990?
Answer: GCF of Numerators as per given numbers 541/37, 582/26, 600/990 is
GCF of Numerators i.e. for 541,582,600 is 1
LCM of denominators i.e. for 37,26,990 is 476190.
Thus, GCF of Fractions is 1/476190.Finally, GCF of Fractions for 541/37, 582/26, 600/990 is 1/476190.