GCF of 3840/806, 8456/3684
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3840/806, 8456/3684 i.e 8/1484652 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3840/806, 8456/3684.
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 3840/806,8456/3684?
Given fractions are 3840/806,8456/3684
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 3840/806,8456/3684, numerators are 3840,8456
Denominators are 806,3684
The GCF of 3840,8456 is 8 .
LCM of 806,3684 is 1484652.
The greatest common factor of 3840/806,8456/3684 = [GCF of 3840,8456]/[LCM of 806,3684]= 8/1484652
Therefore, the GCF of 3840/806,8456/3684 is 8/1484652.
To find the highest common factor of 3840,8456, we have to find the factors of both numbers and list the highest common factor.
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 factors of 8456 are 1, 2, 4, 7, 8, 14, 28, 56, 151, 302, 604, 1057, 1208, 2114, 4228, 8456
The HCF of 3840,8456 is 8.
Lets's calculate GCF of 3840,8456
| 2 | 3840, 8456 |
| 2 | 1920, 4228 |
| 2 | 960, 2114 |
| 480, 1057 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 3840,8456 By Matching Biggest Common Factor Method
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
Now, list down the factors of 8456
:1,2,4,7,8,14,28,56,151,302,604,1057,1208,2114,4228,8456
Greatest Common Factor
We found the factors 3840,8456 . The biggest common factor number is the GCF number.
So the greatest common factor 3840,8456 is 8.
Lets's calculate LCM of 806,3684
| 2 | 806, 3684 |
| 403, 1842 |
∴ So the LCM of the given numbers is 2 x 403 x 1842 = 1484652
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1484652
Therefore, the GCF of Fractions 3840/806,8456/3684 is 8/1484652
Least Common Multiple of 806,3684 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 806,3684 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(806,3684) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(806,3684) x common factors =2 x 1 = 2
LCM(806,3684) = ( 806 × 3684 ) / 2
LCM(806,3684) = 2969304 / 2
LCM(806,3684) = 1484652
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FAQs on GCF of Fractions of 3840/806, 8456/3684
1. What is the HCF of 3840,8456?
The HCF of 3840,8456 is 8
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 3840/806, 8456/3684?
Answer: GCF of Numerators as per given numbers 3840/806, 8456/3684 is
GCF of Numerators i.e. for 3840,8456 is 8
LCM of denominators i.e. for 806,3684 is 1484652.
Thus, GCF of Fractions is 8/1484652.Finally, GCF of Fractions for 3840/806, 8456/3684 is 8/1484652.