Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9/83,96/34,99/719,914/347
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 9,96,99,914
Greatest Common Factor of Numerators i.e. GCF of 9,96,99,914 is 1 .
LCM of Denominators means LCM of 83,34,719,347 as per the given fractions.
LCM of 83,34,719,347 is 704069246 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9,96,99,914
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9
List of positive integer factors of 9 that divides 9 without a remainder.
1,3,9
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 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 914
List of positive integer factors of 914 that divides 914 without a remainder.
1,2,457,914
Greatest Common Factor
We found the factors 9,96,99,914 . The biggest common factor number is the GCF number.
So the greatest common factor 9,96,99,914 is 1.
Lets's calculate LCM of 83,34,719,347
Given numbers has no common factors except 1. So, there LCM is their product i.e 704069246
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/704069246
Therefore, the GCF of Fractions 9/83,96/34,99/719,914/347 is 1/704069246
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 83,34,719,347 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,34,719,347) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,34,719,347) x common factors =1 x 1 = 1
LCM(83,34,719,347) = ( 83 × 34 × 719 × 347 ) / 1
LCM(83,34,719,347) = 704069246 / 1
LCM(83,34,719,347) = 704069246
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 9/83, 96/34, 99/719, 914/347?
Answer: GCF of Numerators as per given numbers 9/83, 96/34, 99/719, 914/347 is
GCF of Numerators i.e. for 9,96,99,914 is 1
LCM of denominators i.e. for 83,34,719,347 is 704069246.
Thus, GCF of Fractions is 1/704069246.Finally, GCF of Fractions for 9/83, 96/34, 99/719, 914/347 is 1/704069246.