GCF of 9447/708, 8509/445
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9447/708, 8509/445 i.e 67/315060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9447/708, 8509/445.
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 9447/708,8509/445?
Given fractions are 9447/708,8509/445
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 9447/708,8509/445, numerators are 9447,8509
Denominators are 708,445
The GCF of 9447,8509 is 67 .
LCM of 708,445 is 315060.
The greatest common factor of 9447/708,8509/445 = [GCF of 9447,8509]/[LCM of 708,445]= 67/315060
Therefore, the GCF of 9447/708,8509/445 is 67/315060.
To find the highest common factor of 9447,8509, we have to find the factors of both numbers and list the highest common factor.
The factors of 9447 are 1, 3, 47, 67, 141, 201, 3149, 9447
The factors of 8509 are 1, 67, 127, 8509
The HCF of 9447,8509 is 67.
Lets's calculate GCF of 9447,8509
| 67 | 9447, 8509 |
| 141, 127 |
∴ So the GCF of the given numbers is 67 = 67
Greatest Common Factor of 9447,8509 By Matching Biggest Common Factor Method
Now, list down the factors of 9447
:1,3,47,67,141,201,3149,9447
Now, list down the factors of 8509
:1,67,127,8509
Greatest Common Factor
We found the factors 9447,8509 . The biggest common factor number is the GCF number.
So the greatest common factor 9447,8509 is 67.
Lets's calculate LCM of 708,445
Given numbers has no common factors except 1. So, there LCM is their product i.e 315060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 67/315060
Therefore, the GCF of Fractions 9447/708,8509/445 is 67/315060
Least Common Multiple of 708,445 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 708,445 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(708,445) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(708,445) x common factors =1 x 1 = 1
LCM(708,445) = ( 708 × 445 ) / 1
LCM(708,445) = 315060 / 1
LCM(708,445) = 315060
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9447/708, 8509/445
1. What is the HCF of 9447,8509?
The HCF of 9447,8509 is 67
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 9447/708, 8509/445?
Answer: GCF of Numerators as per given numbers 9447/708, 8509/445 is
GCF of Numerators i.e. for 9447,8509 is 67
LCM of denominators i.e. for 708,445 is 315060.
Thus, GCF of Fractions is 67/315060.Finally, GCF of Fractions for 9447/708, 8509/445 is 67/315060.