GCF of 3569/454, 6485/568
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3569/454, 6485/568 i.e 1/128936 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3569/454, 6485/568.
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 3569/454,6485/568?
Given fractions are 3569/454,6485/568
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 3569/454,6485/568, numerators are 3569,6485
Denominators are 454,568
The GCF of 3569,6485 is 1 .
LCM of 454,568 is 128936.
The greatest common factor of 3569/454,6485/568 = [GCF of 3569,6485]/[LCM of 454,568]= 1/128936
Therefore, the GCF of 3569/454,6485/568 is 1/128936.
To find the highest common factor of 3569,6485, we have to find the factors of both numbers and list the highest common factor.
The factors of 3569 are 1, 43, 83, 3569
The factors of 6485 are 1, 5, 1297, 6485
The HCF of 3569,6485 is 1.
Lets's calculate GCF of 3569,6485
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3569,6485 By Matching Biggest Common Factor Method
Now, list down the factors of 3569
:1,43,83,3569
Now, list down the factors of 6485
:1,5,1297,6485
Greatest Common Factor
We found the factors 3569,6485 . The biggest common factor number is the GCF number.
So the greatest common factor 3569,6485 is 1.
Lets's calculate LCM of 454,568
| 2 | 454, 568 |
| 227, 284 |
∴ So the LCM of the given numbers is 2 x 227 x 284 = 128936
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/128936
Therefore, the GCF of Fractions 3569/454,6485/568 is 1/128936
Least Common Multiple of 454,568 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 454,568 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(454,568) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(454,568) x common factors =2 x 1 = 2
LCM(454,568) = ( 454 × 568 ) / 2
LCM(454,568) = 257872 / 2
LCM(454,568) = 128936
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3569/454, 6485/568
1. What is the HCF of 3569,6485?
The HCF of 3569,6485 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 3569/454, 6485/568?
Answer: GCF of Numerators as per given numbers 3569/454, 6485/568 is
GCF of Numerators i.e. for 3569,6485 is 1
LCM of denominators i.e. for 454,568 is 128936.
Thus, GCF of Fractions is 1/128936.Finally, GCF of Fractions for 3569/454, 6485/568 is 1/128936.