Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 464/26,586/76,659/57
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 464,586,659
Greatest Common Factor of Numerators i.e. GCF of 464,586,659 is 1 .
LCM of Denominators means LCM of 26,76,57 as per the given fractions.
LCM of 26,76,57 is 2964 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 464,586,659
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 464
List of positive integer factors of 464 that divides 464 without a remainder.
1,2,4,8,16,29,58,116,232,464
Factors of 586
List of positive integer factors of 586 that divides 586 without a remainder.
1,2,293,586
Factors of 659
List of positive integer factors of 659 that divides 659 without a remainder.
1,659
Greatest Common Factor
We found the factors 464,586,659 . The biggest common factor number is the GCF number.
So the greatest common factor 464,586,659 is 1.
Lets's calculate LCM of 26,76,57
2 | 26, 76, 57 |
19 | 13, 38, 57 |
13, 2, 3 |
∴ So the LCM of the given numbers is 2 x 19 x 13 x 2 x 3 = 2964
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2964
Therefore, the GCF of Fractions 464/26,586/76,659/57 is 1/2964
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 26,76,57 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,76,57) = 1
common factors(in case of two or more numbers have common factors) = 38
GCF(26,76,57) x common factors =1 x 38 = 38
LCM(26,76,57) = ( 26 × 76 × 57 ) / 38
LCM(26,76,57) = 112632 / 38
LCM(26,76,57) = 2964
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 464/26, 586/76, 659/57?
Answer: GCF of Numerators as per given numbers 464/26, 586/76, 659/57 is
GCF of Numerators i.e. for 464,586,659 is 1
LCM of denominators i.e. for 26,76,57 is 2964.
Thus, GCF of Fractions is 1/2964.Finally, GCF of Fractions for 464/26, 586/76, 659/57 is 1/2964.