Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4024/993,9867/7057
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 4024,9867
Greatest Common Factor of Numerators i.e. GCF of 4024,9867 is 1 .
LCM of Denominators means LCM of 993,7057 as per the given fractions.
LCM of 993,7057 is 7007601 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4024,9867
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4024
List of positive integer factors of 4024 that divides 4024 without a remainder.
1,2,4,8,503,1006,2012,4024
Factors of 9867
List of positive integer factors of 9867 that divides 9867 without a remainder.
1,3,11,13,23,33,39,69,143,253,299,429,759,897,3289,9867
Greatest Common Factor
We found the factors 4024,9867 . The biggest common factor number is the GCF number.
So the greatest common factor 4024,9867 is 1.
Lets's calculate LCM of 993,7057
Given numbers has no common factors except 1. So, there LCM is their product i.e 7007601
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7007601
Therefore, the GCF of Fractions 4024/993,9867/7057 is 1/7007601
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 993,7057 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(993,7057) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(993,7057) x common factors =1 x 1 = 1
LCM(993,7057) = ( 993 × 7057 ) / 1
LCM(993,7057) = 7007601 / 1
LCM(993,7057) = 7007601
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 4024/993, 9867/7057?
Answer: GCF of Numerators as per given numbers 4024/993, 9867/7057 is
GCF of Numerators i.e. for 4024,9867 is 1
LCM of denominators i.e. for 993,7057 is 7007601.
Thus, GCF of Fractions is 1/7007601.Finally, GCF of Fractions for 4024/993, 9867/7057 is 1/7007601.