Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 47/33,159/59,831/506
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 47,159,831
Greatest Common Factor of Numerators i.e. GCF of 47,159,831 is 1 .
LCM of Denominators means LCM of 33,59,506 as per the given fractions.
LCM of 33,59,506 is 89562 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 47,159,831
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
Factors of 159
List of positive integer factors of 159 that divides 159 without a remainder.
1,3,53,159
Factors of 831
List of positive integer factors of 831 that divides 831 without a remainder.
1,3,277,831
Greatest Common Factor
We found the factors 47,159,831 . The biggest common factor number is the GCF number.
So the greatest common factor 47,159,831 is 1.
Lets's calculate LCM of 33,59,506
11 | 33, 59, 506 |
3, 59, 46 |
∴ So the LCM of the given numbers is 11 x 3 x 59 x 46 = 89562
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/89562
Therefore, the GCF of Fractions 47/33,159/59,831/506 is 1/89562
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 33,59,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,59,506) = 1
common factors(in case of two or more numbers have common factors) = 11
GCF(33,59,506) x common factors =1 x 11 = 11
LCM(33,59,506) = ( 33 × 59 × 506 ) / 11
LCM(33,59,506) = 985182 / 11
LCM(33,59,506) = 89562
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 47/33, 159/59, 831/506?
Answer: GCF of Numerators as per given numbers 47/33, 159/59, 831/506 is
GCF of Numerators i.e. for 47,159,831 is 1
LCM of denominators i.e. for 33,59,506 is 89562.
Thus, GCF of Fractions is 1/89562.Finally, GCF of Fractions for 47/33, 159/59, 831/506 is 1/89562.