Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 11/13,96/89,332/579
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 11,96,332
Greatest Common Factor of Numerators i.e. GCF of 11,96,332 is 1 .
LCM of Denominators means LCM of 13,89,579 as per the given fractions.
LCM of 13,89,579 is 669903 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 11,96,332
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 11
List of positive integer factors of 11 that divides 11 without a remainder.
1,11
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Factors of 332
List of positive integer factors of 332 that divides 332 without a remainder.
1,2,4,83,166,332
Greatest Common Factor
We found the factors 11,96,332 . The biggest common factor number is the GCF number.
So the greatest common factor 11,96,332 is 1.
Lets's calculate LCM of 13,89,579
Given numbers has no common factors except 1. So, there LCM is their product i.e 669903
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/669903
Therefore, the GCF of Fractions 11/13,96/89,332/579 is 1/669903
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 13,89,579 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,89,579) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(13,89,579) x common factors =1 x 1 = 1
LCM(13,89,579) = ( 13 × 89 × 579 ) / 1
LCM(13,89,579) = 669903 / 1
LCM(13,89,579) = 669903
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 11/13, 96/89, 332/579?
Answer: GCF of Numerators as per given numbers 11/13, 96/89, 332/579 is
GCF of Numerators i.e. for 11,96,332 is 1
LCM of denominators i.e. for 13,89,579 is 669903.
Thus, GCF of Fractions is 1/669903.Finally, GCF of Fractions for 11/13, 96/89, 332/579 is 1/669903.