GCF of 8718/524, 9706/9670
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8718/524, 9706/9670 i.e 2/2533540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8718/524, 9706/9670.
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 8718/524,9706/9670?
Given fractions are 8718/524,9706/9670
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 8718/524,9706/9670, numerators are 8718,9706
Denominators are 524,9670
The GCF of 8718,9706 is 2 .
LCM of 524,9670 is 2533540.
The greatest common factor of 8718/524,9706/9670 = [GCF of 8718,9706]/[LCM of 524,9670]= 2/2533540
Therefore, the GCF of 8718/524,9706/9670 is 2/2533540.
To find the highest common factor of 8718,9706, we have to find the factors of both numbers and list the highest common factor.
The factors of 8718 are 1, 2, 3, 6, 1453, 2906, 4359, 8718
The factors of 9706 are 1, 2, 23, 46, 211, 422, 4853, 9706
The HCF of 8718,9706 is 2.
Lets's calculate GCF of 8718,9706
| 2 | 8718, 9706 |
| 4359, 4853 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8718,9706 By Matching Biggest Common Factor Method
Now, list down the factors of 8718
:1,2,3,6,1453,2906,4359,8718
Now, list down the factors of 9706
:1,2,23,46,211,422,4853,9706
Greatest Common Factor
We found the factors 8718,9706 . The biggest common factor number is the GCF number.
So the greatest common factor 8718,9706 is 2.
Lets's calculate LCM of 524,9670
| 2 | 524, 9670 |
| 262, 4835 |
∴ So the LCM of the given numbers is 2 x 262 x 4835 = 2533540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2533540
Therefore, the GCF of Fractions 8718/524,9706/9670 is 2/2533540
Least Common Multiple of 524,9670 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 524,9670 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(524,9670) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(524,9670) x common factors =2 x 1 = 2
LCM(524,9670) = ( 524 × 9670 ) / 2
LCM(524,9670) = 5067080 / 2
LCM(524,9670) = 2533540
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8718/524, 9706/9670
1. What is the HCF of 8718,9706?
The HCF of 8718,9706 is 2
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 8718/524, 9706/9670?
Answer: GCF of Numerators as per given numbers 8718/524, 9706/9670 is
GCF of Numerators i.e. for 8718,9706 is 2
LCM of denominators i.e. for 524,9670 is 2533540.
Thus, GCF of Fractions is 2/2533540.Finally, GCF of Fractions for 8718/524, 9706/9670 is 2/2533540.