Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 656/75,378/46,455/434
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 656,378,455
Greatest Common Factor of Numerators i.e. GCF of 656,378,455 is 1 .
LCM of Denominators means LCM of 75,46,434 as per the given fractions.
LCM of 75,46,434 is 748650 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 656,378,455
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 656
List of positive integer factors of 656 that divides 656 without a remainder.
1,2,4,8,16,41,82,164,328,656
Factors of 378
List of positive integer factors of 378 that divides 378 without a remainder.
1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378
Factors of 455
List of positive integer factors of 455 that divides 455 without a remainder.
1,5,7,13,35,65,91,455
Greatest Common Factor
We found the factors 656,378,455 . The biggest common factor number is the GCF number.
So the greatest common factor 656,378,455 is 1.
Lets's calculate LCM of 75,46,434
2 | 75, 46, 434 |
75, 23, 217 |
∴ So the LCM of the given numbers is 2 x 75 x 23 x 217 = 748650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/748650
Therefore, the GCF of Fractions 656/75,378/46,455/434 is 1/748650
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 75,46,434 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,46,434) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(75,46,434) x common factors =1 x 2 = 2
LCM(75,46,434) = ( 75 × 46 × 434 ) / 2
LCM(75,46,434) = 1497300 / 2
LCM(75,46,434) = 748650
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 656/75, 378/46, 455/434?
Answer: GCF of Numerators as per given numbers 656/75, 378/46, 455/434 is
GCF of Numerators i.e. for 656,378,455 is 1
LCM of denominators i.e. for 75,46,434 is 748650.
Thus, GCF of Fractions is 1/748650.Finally, GCF of Fractions for 656/75, 378/46, 455/434 is 1/748650.