Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 718/16,299/40,830/555
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 718,299,830
Greatest Common Factor of Numerators i.e. GCF of 718,299,830 is 1 .
LCM of Denominators means LCM of 16,40,555 as per the given fractions.
LCM of 16,40,555 is 8880 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 718,299,830
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 718
List of positive integer factors of 718 that divides 718 without a remainder.
1,2,359,718
Factors of 299
List of positive integer factors of 299 that divides 299 without a remainder.
1,13,23,299
Factors of 830
List of positive integer factors of 830 that divides 830 without a remainder.
1,2,5,10,83,166,415,830
Greatest Common Factor
We found the factors 718,299,830 . The biggest common factor number is the GCF number.
So the greatest common factor 718,299,830 is 1.
Lets's calculate LCM of 16,40,555
2 | 16, 40, 555 |
2 | 8, 20, 555 |
2 | 4, 10, 555 |
5 | 2, 5, 555 |
2, 1, 111 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 2 x 1 x 111 = 8880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8880
Therefore, the GCF of Fractions 718/16,299/40,830/555 is 1/8880
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 16,40,555 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,40,555) = 1
common factors(in case of two or more numbers have common factors) = 40
GCF(16,40,555) x common factors =1 x 40 = 40
LCM(16,40,555) = ( 16 × 40 × 555 ) / 40
LCM(16,40,555) = 355200 / 40
LCM(16,40,555) = 8880
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 718/16, 299/40, 830/555?
Answer: GCF of Numerators as per given numbers 718/16, 299/40, 830/555 is
GCF of Numerators i.e. for 718,299,830 is 1
LCM of denominators i.e. for 16,40,555 is 8880.
Thus, GCF of Fractions is 1/8880.Finally, GCF of Fractions for 718/16, 299/40, 830/555 is 1/8880.