GCF of 3600/814, 8165/8078
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3600/814, 8165/8078 i.e 5/3287746 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3600/814, 8165/8078.
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 3600/814,8165/8078?
Given fractions are 3600/814,8165/8078
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 3600/814,8165/8078, numerators are 3600,8165
Denominators are 814,8078
The GCF of 3600,8165 is 5 .
LCM of 814,8078 is 3287746.
The greatest common factor of 3600/814,8165/8078 = [GCF of 3600,8165]/[LCM of 814,8078]= 5/3287746
Therefore, the GCF of 3600/814,8165/8078 is 5/3287746.
To find the highest common factor of 3600,8165, we have to find the factors of both numbers and list the highest common factor.
The factors of 3600 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 100, 120, 144, 150, 180, 200, 225, 240, 300, 360, 400, 450, 600, 720, 900, 1200, 1800, 3600
The factors of 8165 are 1, 5, 23, 71, 115, 355, 1633, 8165
The HCF of 3600,8165 is 5.
Lets's calculate GCF of 3600,8165
| 5 | 3600, 8165 |
| 720, 1633 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 3600,8165 By Matching Biggest Common Factor Method
Now, list down the factors of 3600
:1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,25,30,36,40,45,48,50,60,72,75,80,90,100,120,144,150,180,200,225,240,300,360,400,450,600,720,900,1200,1800,3600
Now, list down the factors of 8165
:1,5,23,71,115,355,1633,8165
Greatest Common Factor
We found the factors 3600,8165 . The biggest common factor number is the GCF number.
So the greatest common factor 3600,8165 is 5.
Lets's calculate LCM of 814,8078
| 2 | 814, 8078 |
| 407, 4039 |
∴ So the LCM of the given numbers is 2 x 407 x 4039 = 3287746
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/3287746
Therefore, the GCF of Fractions 3600/814,8165/8078 is 5/3287746
Least Common Multiple of 814,8078 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 814,8078 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(814,8078) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(814,8078) x common factors =2 x 1 = 2
LCM(814,8078) = ( 814 × 8078 ) / 2
LCM(814,8078) = 6575492 / 2
LCM(814,8078) = 3287746
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FAQs on GCF of Fractions of 3600/814, 8165/8078
1. What is the HCF of 3600,8165?
The HCF of 3600,8165 is 5
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 3600/814, 8165/8078?
Answer: GCF of Numerators as per given numbers 3600/814, 8165/8078 is
GCF of Numerators i.e. for 3600,8165 is 5
LCM of denominators i.e. for 814,8078 is 3287746.
Thus, GCF of Fractions is 5/3287746.Finally, GCF of Fractions for 3600/814, 8165/8078 is 5/3287746.