GCF of 17/34, 986/60, 103/471
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 17/34, 986/60, 103/471 i.e 1/160140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 17/34, 986/60, 103/471.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 17/34,986/60,103/471?
Given fractions are 17/34,986/60,103/471
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 17/34,986/60,103/471, numerators are 17,986,103
Denominators are 34,60,471
The GCF of 17,986,103 is 1 .
LCM of 34,60,471 is 160140.
The greatest common factor of 17/34,986/60,103/471 = [GCF of 17,986,103]/[LCM of 34,60,471]= 1/160140
Therefore, the GCF of 17/34,986/60,103/471 is 1/160140.
To find the highest common factor of 17,986,103, 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 986 are 1, 2, 17, 29, 34, 58, 493, 986
The factors of 103 are 1, 103
The HCF of 17,986,103 is 1.
Lets's calculate GCF of 17,986,103
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 17,986,103 By Matching Biggest Common Factor Method
Now, list down the factors of 17
:1,17
Now, list down the factors of 986
:1,2,17,29,34,58,493,986
Now, list down the factors of 103
:1,103
Greatest Common Factor
We found the factors 17,986,103 . The biggest common factor number is the GCF number.
So the greatest common factor 17,986,103 is 1.
Lets's calculate LCM of 34,60,471
| 2 | 34, 60, 471 |
| 3 | 17, 30, 471 |
| 17, 10, 157 |
∴ So the LCM of the given numbers is 2 x 3 x 17 x 10 x 157 = 160140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/160140
Therefore, the GCF of Fractions 17/34,986/60,103/471 is 1/160140
Least Common Multiple of 34,60,471 with GCF Formula
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 34,60,471 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,60,471) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(34,60,471) x common factors =1 x 6 = 6
LCM(34,60,471) = ( 34 × 60 × 471 ) / 6
LCM(34,60,471) = 960840 / 6
LCM(34,60,471) = 160140
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 17/34, 986/60, 103/471
1. What is the HCF of 17,986,103?
The HCF of 17,986,103 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 17/34, 986/60, 103/471?
Answer: GCF of Numerators as per given numbers 17/34, 986/60, 103/471 is
GCF of Numerators i.e. for 17,986,103 is 1
LCM of denominators i.e. for 34,60,471 is 160140.
Thus, GCF of Fractions is 1/160140.Finally, GCF of Fractions for 17/34, 986/60, 103/471 is 1/160140.