Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 454/492,605/258,574/859
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 454,605,574
Greatest Common Factor of Numerators i.e. GCF of 454,605,574 is 1 .
LCM of Denominators means LCM of 492,258,859 as per the given fractions.
LCM of 492,258,859 is 18173004 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 454,605,574
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 454
List of positive integer factors of 454 that divides 454 without a remainder.
1,2,227,454
Factors of 605
List of positive integer factors of 605 that divides 605 without a remainder.
1,5,11,55,121,605
Factors of 574
List of positive integer factors of 574 that divides 574 without a remainder.
1,2,7,14,41,82,287,574
Greatest Common Factor
We found the factors 454,605,574 . The biggest common factor number is the GCF number.
So the greatest common factor 454,605,574 is 1.
Lets's calculate LCM of 492,258,859
2 | 492, 258, 859 |
3 | 246, 129, 859 |
82, 43, 859 |
∴ So the LCM of the given numbers is 2 x 3 x 82 x 43 x 859 = 18173004
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18173004
Therefore, the GCF of Fractions 454/492,605/258,574/859 is 1/18173004
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 492,258,859 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(492,258,859) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(492,258,859) x common factors =1 x 6 = 6
LCM(492,258,859) = ( 492 × 258 × 859 ) / 6
LCM(492,258,859) = 109038024 / 6
LCM(492,258,859) = 18173004
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 454/492, 605/258, 574/859?
Answer: GCF of Numerators as per given numbers 454/492, 605/258, 574/859 is
GCF of Numerators i.e. for 454,605,574 is 1
LCM of denominators i.e. for 492,258,859 is 18173004.
Thus, GCF of Fractions is 1/18173004.Finally, GCF of Fractions for 454/492, 605/258, 574/859 is 1/18173004.