Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 487/51,132/85,162/132
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 487,132,162
Greatest Common Factor of Numerators i.e. GCF of 487,132,162 is 1 .
LCM of Denominators means LCM of 51,85,132 as per the given fractions.
LCM of 51,85,132 is 11220 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 487,132,162
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 487
List of positive integer factors of 487 that divides 487 without a remainder.
1,487
Factors of 132
List of positive integer factors of 132 that divides 132 without a remainder.
1,2,3,4,6,11,12,22,33,44,66,132
Factors of 162
List of positive integer factors of 162 that divides 162 without a remainder.
1,2,3,6,9,18,27,54,81,162
Greatest Common Factor
We found the factors 487,132,162 . The biggest common factor number is the GCF number.
So the greatest common factor 487,132,162 is 1.
Lets's calculate LCM of 51,85,132
3 | 51, 85, 132 |
17 | 17, 85, 44 |
1, 5, 44 |
∴ So the LCM of the given numbers is 3 x 17 x 1 x 5 x 44 = 11220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11220
Therefore, the GCF of Fractions 487/51,132/85,162/132 is 1/11220
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 51,85,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,85,132) = 1
common factors(in case of two or more numbers have common factors) = 51
GCF(51,85,132) x common factors =1 x 51 = 51
LCM(51,85,132) = ( 51 × 85 × 132 ) / 51
LCM(51,85,132) = 572220 / 51
LCM(51,85,132) = 11220
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 487/51, 132/85, 162/132?
Answer: GCF of Numerators as per given numbers 487/51, 132/85, 162/132 is
GCF of Numerators i.e. for 487,132,162 is 1
LCM of denominators i.e. for 51,85,132 is 11220.
Thus, GCF of Fractions is 1/11220.Finally, GCF of Fractions for 487/51, 132/85, 162/132 is 1/11220.