GCF of 2323/160, 6584/5105
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2323/160, 6584/5105 i.e 1/163360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2323/160, 6584/5105.
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 2323/160,6584/5105?
Given fractions are 2323/160,6584/5105
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 2323/160,6584/5105, numerators are 2323,6584
Denominators are 160,5105
The GCF of 2323,6584 is 1 .
LCM of 160,5105 is 163360.
The greatest common factor of 2323/160,6584/5105 = [GCF of 2323,6584]/[LCM of 160,5105]= 1/163360
Therefore, the GCF of 2323/160,6584/5105 is 1/163360.
To find the highest common factor of 2323,6584, we have to find the factors of both numbers and list the highest common factor.
The factors of 2323 are 1, 23, 101, 2323
The factors of 6584 are 1, 2, 4, 8, 823, 1646, 3292, 6584
The HCF of 2323,6584 is 1.
Lets's calculate GCF of 2323,6584
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2323,6584 By Matching Biggest Common Factor Method
Now, list down the factors of 2323
:1,23,101,2323
Now, list down the factors of 6584
:1,2,4,8,823,1646,3292,6584
Greatest Common Factor
We found the factors 2323,6584 . The biggest common factor number is the GCF number.
So the greatest common factor 2323,6584 is 1.
Lets's calculate LCM of 160,5105
| 5 | 160, 5105 |
| 32, 1021 |
∴ So the LCM of the given numbers is 5 x 32 x 1021 = 163360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/163360
Therefore, the GCF of Fractions 2323/160,6584/5105 is 1/163360
Least Common Multiple of 160,5105 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 160,5105 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(160,5105) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(160,5105) x common factors =5 x 1 = 5
LCM(160,5105) = ( 160 × 5105 ) / 5
LCM(160,5105) = 816800 / 5
LCM(160,5105) = 163360
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2323/160, 6584/5105
1. What is the HCF of 2323,6584?
The HCF of 2323,6584 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 2323/160, 6584/5105?
Answer: GCF of Numerators as per given numbers 2323/160, 6584/5105 is
GCF of Numerators i.e. for 2323,6584 is 1
LCM of denominators i.e. for 160,5105 is 163360.
Thus, GCF of Fractions is 1/163360.Finally, GCF of Fractions for 2323/160, 6584/5105 is 1/163360.