Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 182/75,659/88,505/96
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 182,659,505
Greatest Common Factor of Numerators i.e. GCF of 182,659,505 is 1 .
LCM of Denominators means LCM of 75,88,96 as per the given fractions.
LCM of 75,88,96 is 26400 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 182,659,505
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 182
List of positive integer factors of 182 that divides 182 without a remainder.
1,2,7,13,14,26,91,182
Factors of 659
List of positive integer factors of 659 that divides 659 without a remainder.
1,659
Factors of 505
List of positive integer factors of 505 that divides 505 without a remainder.
1,5,101,505
Greatest Common Factor
We found the factors 182,659,505 . The biggest common factor number is the GCF number.
So the greatest common factor 182,659,505 is 1.
Lets's calculate LCM of 75,88,96
2 | 75, 88, 96 |
2 | 75, 44, 48 |
2 | 75, 22, 24 |
3 | 75, 11, 12 |
25, 11, 4 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 25 x 11 x 4 = 26400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26400
Therefore, the GCF of Fractions 182/75,659/88,505/96 is 1/26400
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 75,88,96 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,88,96) = 1
common factors(in case of two or more numbers have common factors) = 24
GCF(75,88,96) x common factors =1 x 24 = 24
LCM(75,88,96) = ( 75 × 88 × 96 ) / 24
LCM(75,88,96) = 633600 / 24
LCM(75,88,96) = 26400
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 182/75, 659/88, 505/96?
Answer: GCF of Numerators as per given numbers 182/75, 659/88, 505/96 is
GCF of Numerators i.e. for 182,659,505 is 1
LCM of denominators i.e. for 75,88,96 is 26400.
Thus, GCF of Fractions is 1/26400.Finally, GCF of Fractions for 182/75, 659/88, 505/96 is 1/26400.