GCF of 1733/128, 8353/6418
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1733/128, 8353/6418 i.e 1/410752 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1733/128, 8353/6418.
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 1733/128,8353/6418?
Given fractions are 1733/128,8353/6418
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 1733/128,8353/6418, numerators are 1733,8353
Denominators are 128,6418
The GCF of 1733,8353 is 1 .
LCM of 128,6418 is 410752.
The greatest common factor of 1733/128,8353/6418 = [GCF of 1733,8353]/[LCM of 128,6418]= 1/410752
Therefore, the GCF of 1733/128,8353/6418 is 1/410752.
To find the highest common factor of 1733,8353, we have to find the factors of both numbers and list the highest common factor.
The factors of 1733 are 1, 1733
The factors of 8353 are 1, 8353
The HCF of 1733,8353 is 1.
Lets's calculate GCF of 1733,8353
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1733,8353 By Matching Biggest Common Factor Method
Now, list down the factors of 1733
:1,1733
Now, list down the factors of 8353
:1,8353
Greatest Common Factor
We found the factors 1733,8353 . The biggest common factor number is the GCF number.
So the greatest common factor 1733,8353 is 1.
Lets's calculate LCM of 128,6418
| 2 | 128, 6418 |
| 64, 3209 |
∴ So the LCM of the given numbers is 2 x 64 x 3209 = 410752
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/410752
Therefore, the GCF of Fractions 1733/128,8353/6418 is 1/410752
Least Common Multiple of 128,6418 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 128,6418 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(128,6418) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(128,6418) x common factors =2 x 1 = 2
LCM(128,6418) = ( 128 × 6418 ) / 2
LCM(128,6418) = 821504 / 2
LCM(128,6418) = 410752
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1733/128, 8353/6418
1. What is the HCF of 1733,8353?
The HCF of 1733,8353 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 1733/128, 8353/6418?
Answer: GCF of Numerators as per given numbers 1733/128, 8353/6418 is
GCF of Numerators i.e. for 1733,8353 is 1
LCM of denominators i.e. for 128,6418 is 410752.
Thus, GCF of Fractions is 1/410752.Finally, GCF of Fractions for 1733/128, 8353/6418 is 1/410752.