Use our free GCF of Fractions Calculator tool to compute the GCF of 1664/189, 7519/4567 i.e 1/863163 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1664/189, 7519/4567.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1664/189,7519/4567
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 1664/189,7519/4567, numerators are 1664,7519
Denominators are 189,4567
The GCF of 1664,7519 is 1 .
LCM of 189,4567 is 863163.
The greatest common factor of 1664/189,7519/4567 = [GCF of 1664,7519]/[LCM of 189,4567]= 1/863163
Therefore, the GCF of 1664/189,7519/4567 is 1/863163.
To find the highest common factor of 1664,7519, we have to find the factors of both numbers and list the highest common factor.
The factors of 1664 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 128, 208, 416, 832, 1664
The factors of 7519 are 1, 73, 103, 7519
The HCF of 1664,7519 is 1.
Lets's calculate GCF of 1664,7519
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 1664
:1,2,4,8,13,16,26,32,52,64,104,128,208,416,832,1664
Now, list down the factors of 7519
:1,73,103,7519
Greatest Common Factor
We found the factors 1664,7519 . The biggest common factor number is the GCF number.
So the greatest common factor 1664,7519 is 1.
Lets's calculate LCM of 189,4567
Given numbers has no common factors except 1. So, there LCM is their product i.e 863163
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/863163
Therefore, the GCF of Fractions 1664/189,7519/4567 is 1/863163
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 189,4567 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(189,4567) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(189,4567) x common factors =1 x 1 = 1
LCM(189,4567) = ( 189 × 4567 ) / 1
LCM(189,4567) = 863163 / 1
LCM(189,4567) = 863163
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1664,7519?
The HCF of 1664,7519 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 1664/189, 7519/4567?
Answer: GCF of Numerators as per given numbers 1664/189, 7519/4567 is
GCF of Numerators i.e. for 1664,7519 is 1
LCM of denominators i.e. for 189,4567 is 863163.
Thus, GCF of Fractions is 1/863163.Finally, GCF of Fractions for 1664/189, 7519/4567 is 1/863163.