Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 92/16,583/75,899/918
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 92,583,899
Greatest Common Factor of Numerators i.e. GCF of 92,583,899 is 1 .
LCM of Denominators means LCM of 16,75,918 as per the given fractions.
LCM of 16,75,918 is 183600 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 92,583,899
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 583
List of positive integer factors of 583 that divides 583 without a remainder.
1,11,53,583
Factors of 899
List of positive integer factors of 899 that divides 899 without a remainder.
1,29,31,899
Greatest Common Factor
We found the factors 92,583,899 . The biggest common factor number is the GCF number.
So the greatest common factor 92,583,899 is 1.
Lets's calculate LCM of 16,75,918
2 | 16, 75, 918 |
3 | 8, 75, 459 |
8, 25, 153 |
∴ So the LCM of the given numbers is 2 x 3 x 8 x 25 x 153 = 183600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/183600
Therefore, the GCF of Fractions 92/16,583/75,899/918 is 1/183600
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 16,75,918 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,75,918) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(16,75,918) x common factors =1 x 6 = 6
LCM(16,75,918) = ( 16 × 75 × 918 ) / 6
LCM(16,75,918) = 1101600 / 6
LCM(16,75,918) = 183600
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 92/16, 583/75, 899/918?
Answer: GCF of Numerators as per given numbers 92/16, 583/75, 899/918 is
GCF of Numerators i.e. for 92,583,899 is 1
LCM of denominators i.e. for 16,75,918 is 183600.
Thus, GCF of Fractions is 1/183600.Finally, GCF of Fractions for 92/16, 583/75, 899/918 is 1/183600.