Use our free GCF of Fractions Calculator tool to compute the GCF of 17/596, 38/4462 i.e 1/1329676 easily. The following is the detailed procedure to determine the greatest common factor of fractions 17/596, 38/4462.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 17/596,38/4462
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 17/596,38/4462, numerators are 17,38
Denominators are 596,4462
The GCF of 17,38 is 1 .
LCM of 596,4462 is 1329676.
The greatest common factor of 17/596,38/4462 = [GCF of 17,38]/[LCM of 596,4462]= 1/1329676
Therefore, the GCF of 17/596,38/4462 is 1/1329676.
To find the highest common factor of 17,38, we have to find the factors of both numbers and list the highest common factor.
The factors of 17 are 1, 17
The factors of 38 are 1, 2, 19, 38
The HCF of 17,38 is 1.
Lets's calculate GCF of 17,38
∴ So GCF of numbers is 1 because of no common factors present between them.
Lets's calculate LCM of 596,4462
2 | 596, 4462 |
298, 2231 |
∴ So the LCM of the given numbers is 2 x 298 x 2231 = 1329676
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1329676
Therefore, the GCF of Fractions 17/596,38/4462 is 1/1329676
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 596,4462 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(596,4462) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(596,4462) x common factors =2 x 1 = 2
LCM(596,4462) = ( 596 × 4462 ) / 2
LCM(596,4462) = 2659352 / 2
LCM(596,4462) = 1329676
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 17,38?
The HCF of 17,38 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 17/596, 38/4462?
Answer: GCF of Numerators as per given numbers 17/596, 38/4462 is
GCF of Numerators i.e. for 17,38 is 1
LCM of denominators i.e. for 596,4462 is 1329676.
Thus, GCF of Fractions is 1/1329676.Finally, GCF of Fractions for 17/596, 38/4462 is 1/1329676.