Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 86/99,631/91,330/304
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 86,631,330
Greatest Common Factor of Numerators i.e. GCF of 86,631,330 is 1 .
LCM of Denominators means LCM of 99,91,304 as per the given fractions.
LCM of 99,91,304 is 2738736 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 86,631,330
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 631
List of positive integer factors of 631 that divides 631 without a remainder.
1,631
Factors of 330
List of positive integer factors of 330 that divides 330 without a remainder.
1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330
Greatest Common Factor
We found the factors 86,631,330 . The biggest common factor number is the GCF number.
So the greatest common factor 86,631,330 is 1.
Lets's calculate LCM of 99,91,304
Given numbers has no common factors except 1. So, there LCM is their product i.e 2738736
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2738736
Therefore, the GCF of Fractions 86/99,631/91,330/304 is 1/2738736
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 99,91,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,91,304) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(99,91,304) x common factors =1 x 1 = 1
LCM(99,91,304) = ( 99 × 91 × 304 ) / 1
LCM(99,91,304) = 2738736 / 1
LCM(99,91,304) = 2738736
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 86/99, 631/91, 330/304?
Answer: GCF of Numerators as per given numbers 86/99, 631/91, 330/304 is
GCF of Numerators i.e. for 86,631,330 is 1
LCM of denominators i.e. for 99,91,304 is 2738736.
Thus, GCF of Fractions is 1/2738736.Finally, GCF of Fractions for 86/99, 631/91, 330/304 is 1/2738736.