Use our free GCF of Fractions Calculator tool to compute the GCF of 17/27, 58/31, 63/715 i.e 1/598455 easily. The following is the detailed procedure to determine the greatest common factor of fractions 17/27, 58/31, 63/715.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 17/27,58/31,63/715
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 17/27,58/31,63/715, numerators are 17,58,63
Denominators are 27,31,715
The GCF of 17,58,63 is 1 .
LCM of 27,31,715 is 598455.
The greatest common factor of 17/27,58/31,63/715 = [GCF of 17,58,63]/[LCM of 27,31,715]= 1/598455
Therefore, the GCF of 17/27,58/31,63/715 is 1/598455.
To find the highest common factor of 17,58,63, 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 58 are 1, 2, 29, 58
The factors of 63 are 1, 3, 7, 9, 21, 63
The HCF of 17,58,63 is 1.
Lets's calculate GCF of 17,58,63
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 17
:1,17
Now, list down the factors of 58
:1,2,29,58
Now, list down the factors of 63
:1,3,7,9,21,63
Greatest Common Factor
We found the factors 17,58,63 . The biggest common factor number is the GCF number.
So the greatest common factor 17,58,63 is 1.
Lets's calculate LCM of 27,31,715
Given numbers has no common factors except 1. So, there LCM is their product i.e 598455
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/598455
Therefore, the GCF of Fractions 17/27,58/31,63/715 is 1/598455
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 27,31,715 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,31,715) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(27,31,715) x common factors =1 x 1 = 1
LCM(27,31,715) = ( 27 × 31 × 715 ) / 1
LCM(27,31,715) = 598455 / 1
LCM(27,31,715) = 598455
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 17,58,63?
The HCF of 17,58,63 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 17/27, 58/31, 63/715?
Answer: GCF of Numerators as per given numbers 17/27, 58/31, 63/715 is
GCF of Numerators i.e. for 17,58,63 is 1
LCM of denominators i.e. for 27,31,715 is 598455.
Thus, GCF of Fractions is 1/598455.Finally, GCF of Fractions for 17/27, 58/31, 63/715 is 1/598455.