Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9001/83,4827/347
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 9001,4827
Greatest Common Factor of Numerators i.e. GCF of 9001,4827 is 1 .
LCM of Denominators means LCM of 83,347 as per the given fractions.
LCM of 83,347 is 28801 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9001,4827
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9001
List of positive integer factors of 9001 that divides 9001 without a remainder.
1,9001
Factors of 4827
List of positive integer factors of 4827 that divides 4827 without a remainder.
1,3,1609,4827
Greatest Common Factor
We found the factors 9001,4827 . The biggest common factor number is the GCF number.
So the greatest common factor 9001,4827 is 1.
Lets's calculate LCM of 83,347
Given numbers has no common factors except 1. So, there LCM is their product i.e 28801
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28801
Therefore, the GCF of Fractions 9001/83,4827/347 is 1/28801
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 83,347 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,347) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,347) x common factors =1 x 1 = 1
LCM(83,347) = ( 83 × 347 ) / 1
LCM(83,347) = 28801 / 1
LCM(83,347) = 28801
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 9001/83, 4827/347?
Answer: GCF of Numerators as per given numbers 9001/83, 4827/347 is
GCF of Numerators i.e. for 9001,4827 is 1
LCM of denominators i.e. for 83,347 is 28801.
Thus, GCF of Fractions is 1/28801.Finally, GCF of Fractions for 9001/83, 4827/347 is 1/28801.