Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 99/71,43/89,96/17,40/857
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 99,43,96,40
Greatest Common Factor of Numerators i.e. GCF of 99,43,96,40 is 1 .
LCM of Denominators means LCM of 71,89,17,857 as per the given fractions.
LCM of 71,89,17,857 is 92061511 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 99,43,96,40
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
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 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Greatest Common Factor
We found the factors 99,43,96,40 . The biggest common factor number is the GCF number.
So the greatest common factor 99,43,96,40 is 1.
Lets's calculate LCM of 71,89,17,857
Given numbers has no common factors except 1. So, there LCM is their product i.e 92061511
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/92061511
Therefore, the GCF of Fractions 99/71,43/89,96/17,40/857 is 1/92061511
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 71,89,17,857 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,89,17,857) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,89,17,857) x common factors =1 x 1 = 1
LCM(71,89,17,857) = ( 71 × 89 × 17 × 857 ) / 1
LCM(71,89,17,857) = 92061511 / 1
LCM(71,89,17,857) = 92061511
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 99/71, 43/89, 96/17, 40/857?
Answer: GCF of Numerators as per given numbers 99/71, 43/89, 96/17, 40/857 is
GCF of Numerators i.e. for 99,43,96,40 is 1
LCM of denominators i.e. for 71,89,17,857 is 92061511.
Thus, GCF of Fractions is 1/92061511.Finally, GCF of Fractions for 99/71, 43/89, 96/17, 40/857 is 1/92061511.