Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 455/39,493/35,697/471
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 455,493,697
Greatest Common Factor of Numerators i.e. GCF of 455,493,697 is 1 .
LCM of Denominators means LCM of 39,35,471 as per the given fractions.
LCM of 39,35,471 is 214305 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 455,493,697
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 455
List of positive integer factors of 455 that divides 455 without a remainder.
1,5,7,13,35,65,91,455
Factors of 493
List of positive integer factors of 493 that divides 493 without a remainder.
1,17,29,493
Factors of 697
List of positive integer factors of 697 that divides 697 without a remainder.
1,17,41,697
Greatest Common Factor
We found the factors 455,493,697 . The biggest common factor number is the GCF number.
So the greatest common factor 455,493,697 is 1.
Lets's calculate LCM of 39,35,471
3 | 39, 35, 471 |
13, 35, 157 |
∴ So the LCM of the given numbers is 3 x 13 x 35 x 157 = 214305
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/214305
Therefore, the GCF of Fractions 455/39,493/35,697/471 is 1/214305
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 39,35,471 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,35,471) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(39,35,471) x common factors =1 x 3 = 3
LCM(39,35,471) = ( 39 × 35 × 471 ) / 3
LCM(39,35,471) = 642915 / 3
LCM(39,35,471) = 214305
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 455/39, 493/35, 697/471?
Answer: GCF of Numerators as per given numbers 455/39, 493/35, 697/471 is
GCF of Numerators i.e. for 455,493,697 is 1
LCM of denominators i.e. for 39,35,471 is 214305.
Thus, GCF of Fractions is 1/214305.Finally, GCF of Fractions for 455/39, 493/35, 697/471 is 1/214305.