Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 718/67,215/30,994/775
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 718,215,994
Greatest Common Factor of Numerators i.e. GCF of 718,215,994 is 1 .
LCM of Denominators means LCM of 67,30,775 as per the given fractions.
LCM of 67,30,775 is 311550 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 718,215,994
∴ 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 215
List of positive integer factors of 215 that divides 215 without a remainder.
1,5,43,215
Factors of 994
List of positive integer factors of 994 that divides 994 without a remainder.
1,2,7,14,71,142,497,994
Greatest Common Factor
We found the factors 718,215,994 . The biggest common factor number is the GCF number.
So the greatest common factor 718,215,994 is 1.
Lets's calculate LCM of 67,30,775
5 | 67, 30, 775 |
67, 6, 155 |
∴ So the LCM of the given numbers is 5 x 67 x 6 x 155 = 311550
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/311550
Therefore, the GCF of Fractions 718/67,215/30,994/775 is 1/311550
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 67,30,775 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,30,775) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(67,30,775) x common factors =1 x 5 = 5
LCM(67,30,775) = ( 67 × 30 × 775 ) / 5
LCM(67,30,775) = 1557750 / 5
LCM(67,30,775) = 311550
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 718/67, 215/30, 994/775?
Answer: GCF of Numerators as per given numbers 718/67, 215/30, 994/775 is
GCF of Numerators i.e. for 718,215,994 is 1
LCM of denominators i.e. for 67,30,775 is 311550.
Thus, GCF of Fractions is 1/311550.Finally, GCF of Fractions for 718/67, 215/30, 994/775 is 1/311550.