Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 573/50,315/64,500/91
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 573,315,500
Greatest Common Factor of Numerators i.e. GCF of 573,315,500 is 1 .
LCM of Denominators means LCM of 50,64,91 as per the given fractions.
LCM of 50,64,91 is 145600 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 573,315,500
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 573
List of positive integer factors of 573 that divides 573 without a remainder.
1,3,191,573
Factors of 315
List of positive integer factors of 315 that divides 315 without a remainder.
1,3,5,7,9,15,21,35,45,63,105,315
Factors of 500
List of positive integer factors of 500 that divides 500 without a remainder.
1,2,4,5,10,20,25,50,100,125,250,500
Greatest Common Factor
We found the factors 573,315,500 . The biggest common factor number is the GCF number.
So the greatest common factor 573,315,500 is 1.
Lets's calculate LCM of 50,64,91
2 | 50, 64, 91 |
25, 32, 91 |
∴ So the LCM of the given numbers is 2 x 25 x 32 x 91 = 145600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/145600
Therefore, the GCF of Fractions 573/50,315/64,500/91 is 1/145600
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 50,64,91 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,64,91) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(50,64,91) x common factors =1 x 2 = 2
LCM(50,64,91) = ( 50 × 64 × 91 ) / 2
LCM(50,64,91) = 291200 / 2
LCM(50,64,91) = 145600
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 573/50, 315/64, 500/91?
Answer: GCF of Numerators as per given numbers 573/50, 315/64, 500/91 is
GCF of Numerators i.e. for 573,315,500 is 1
LCM of denominators i.e. for 50,64,91 is 145600.
Thus, GCF of Fractions is 1/145600.Finally, GCF of Fractions for 573/50, 315/64, 500/91 is 1/145600.