GCF of 8313/365, 2576/465
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8313/365, 2576/465 i.e 1/33945 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8313/365, 2576/465.
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 8313/365,2576/465?
Given fractions are 8313/365,2576/465
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 8313/365,2576/465, numerators are 8313,2576
Denominators are 365,465
The GCF of 8313,2576 is 1 .
LCM of 365,465 is 33945.
The greatest common factor of 8313/365,2576/465 = [GCF of 8313,2576]/[LCM of 365,465]= 1/33945
Therefore, the GCF of 8313/365,2576/465 is 1/33945.
To find the highest common factor of 8313,2576, we have to find the factors of both numbers and list the highest common factor.
The factors of 8313 are 1, 3, 17, 51, 163, 489, 2771, 8313
The factors of 2576 are 1, 2, 4, 7, 8, 14, 16, 23, 28, 46, 56, 92, 112, 161, 184, 322, 368, 644, 1288, 2576
The HCF of 8313,2576 is 1.
Lets's calculate GCF of 8313,2576
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8313,2576 By Matching Biggest Common Factor Method
Now, list down the factors of 8313
:1,3,17,51,163,489,2771,8313
Now, list down the factors of 2576
:1,2,4,7,8,14,16,23,28,46,56,92,112,161,184,322,368,644,1288,2576
Greatest Common Factor
We found the factors 8313,2576 . The biggest common factor number is the GCF number.
So the greatest common factor 8313,2576 is 1.
Lets's calculate LCM of 365,465
| 5 | 365, 465 |
| 73, 93 |
∴ So the LCM of the given numbers is 5 x 73 x 93 = 33945
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33945
Therefore, the GCF of Fractions 8313/365,2576/465 is 1/33945
Least Common Multiple of 365,465 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 365,465 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(365,465) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(365,465) x common factors =5 x 1 = 5
LCM(365,465) = ( 365 × 465 ) / 5
LCM(365,465) = 169725 / 5
LCM(365,465) = 33945
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FAQs on GCF of Fractions of 8313/365, 2576/465
1. What is the HCF of 8313,2576?
The HCF of 8313,2576 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 8313/365, 2576/465?
Answer: GCF of Numerators as per given numbers 8313/365, 2576/465 is
GCF of Numerators i.e. for 8313,2576 is 1
LCM of denominators i.e. for 365,465 is 33945.
Thus, GCF of Fractions is 1/33945.Finally, GCF of Fractions for 8313/365, 2576/465 is 1/33945.