Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1667/748,9437/5123
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 1667,9437
Greatest Common Factor of Numerators i.e. GCF of 1667,9437 is 1 .
LCM of Denominators means LCM of 748,5123 as per the given fractions.
LCM of 748,5123 is 3832004 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1667,9437
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1667
List of positive integer factors of 1667 that divides 1667 without a remainder.
1,1667
Factors of 9437
List of positive integer factors of 9437 that divides 9437 without a remainder.
1,9437
Greatest Common Factor
We found the factors 1667,9437 . The biggest common factor number is the GCF number.
So the greatest common factor 1667,9437 is 1.
Lets's calculate LCM of 748,5123
Given numbers has no common factors except 1. So, there LCM is their product i.e 3832004
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3832004
Therefore, the GCF of Fractions 1667/748,9437/5123 is 1/3832004
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 748,5123 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(748,5123) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(748,5123) x common factors =1 x 1 = 1
LCM(748,5123) = ( 748 × 5123 ) / 1
LCM(748,5123) = 3832004 / 1
LCM(748,5123) = 3832004
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 1667/748, 9437/5123?
Answer: GCF of Numerators as per given numbers 1667/748, 9437/5123 is
GCF of Numerators i.e. for 1667,9437 is 1
LCM of denominators i.e. for 748,5123 is 3832004.
Thus, GCF of Fractions is 1/3832004.Finally, GCF of Fractions for 1667/748, 9437/5123 is 1/3832004.