GCF of 9813/405, 3840/6502
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9813/405, 3840/6502 i.e 3/2633310 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9813/405, 3840/6502.
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 9813/405,3840/6502?
Given fractions are 9813/405,3840/6502
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 9813/405,3840/6502, numerators are 9813,3840
Denominators are 405,6502
The GCF of 9813,3840 is 3 .
LCM of 405,6502 is 2633310.
The greatest common factor of 9813/405,3840/6502 = [GCF of 9813,3840]/[LCM of 405,6502]= 3/2633310
Therefore, the GCF of 9813/405,3840/6502 is 3/2633310.
To find the highest common factor of 9813,3840, we have to find the factors of both numbers and list the highest common factor.
The factors of 9813 are 1, 3, 3271, 9813
The factors of 3840 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 128, 160, 192, 240, 256, 320, 384, 480, 640, 768, 960, 1280, 1920, 3840
The HCF of 9813,3840 is 3.
Lets's calculate GCF of 9813,3840
| 3 | 9813, 3840 |
| 3271, 1280 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9813,3840 By Matching Biggest Common Factor Method
Now, list down the factors of 9813
:1,3,3271,9813
Now, list down the factors of 3840
:1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,128,160,192,240,256,320,384,480,640,768,960,1280,1920,3840
Greatest Common Factor
We found the factors 9813,3840 . The biggest common factor number is the GCF number.
So the greatest common factor 9813,3840 is 3.
Lets's calculate LCM of 405,6502
Given numbers has no common factors except 1. So, there LCM is their product i.e 2633310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2633310
Therefore, the GCF of Fractions 9813/405,3840/6502 is 3/2633310
Least Common Multiple of 405,6502 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 405,6502 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(405,6502) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(405,6502) x common factors =1 x 1 = 1
LCM(405,6502) = ( 405 × 6502 ) / 1
LCM(405,6502) = 2633310 / 1
LCM(405,6502) = 2633310
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FAQs on GCF of Fractions of 9813/405, 3840/6502
1. What is the HCF of 9813,3840?
The HCF of 9813,3840 is 3
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 9813/405, 3840/6502?
Answer: GCF of Numerators as per given numbers 9813/405, 3840/6502 is
GCF of Numerators i.e. for 9813,3840 is 3
LCM of denominators i.e. for 405,6502 is 2633310.
Thus, GCF of Fractions is 3/2633310.Finally, GCF of Fractions for 9813/405, 3840/6502 is 3/2633310.