Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8089/40,9964/501
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 8089,9964
Greatest Common Factor of Numerators i.e. GCF of 8089,9964 is 1 .
LCM of Denominators means LCM of 40,501 as per the given fractions.
LCM of 40,501 is 20040 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8089,9964
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8089
List of positive integer factors of 8089 that divides 8089 without a remainder.
1,8089
Factors of 9964
List of positive integer factors of 9964 that divides 9964 without a remainder.
1,2,4,47,53,94,106,188,212,2491,4982,9964
Greatest Common Factor
We found the factors 8089,9964 . The biggest common factor number is the GCF number.
So the greatest common factor 8089,9964 is 1.
Lets's calculate LCM of 40,501
Given numbers has no common factors except 1. So, there LCM is their product i.e 20040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20040
Therefore, the GCF of Fractions 8089/40,9964/501 is 1/20040
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 40,501 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,501) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(40,501) x common factors =1 x 1 = 1
LCM(40,501) = ( 40 × 501 ) / 1
LCM(40,501) = 20040 / 1
LCM(40,501) = 20040
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 8089/40, 9964/501?
Answer: GCF of Numerators as per given numbers 8089/40, 9964/501 is
GCF of Numerators i.e. for 8089,9964 is 1
LCM of denominators i.e. for 40,501 is 20040.
Thus, GCF of Fractions is 1/20040.Finally, GCF of Fractions for 8089/40, 9964/501 is 1/20040.