GCF of 9027/821, 3840/383
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9027/821, 3840/383 i.e 3/314443 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9027/821, 3840/383.
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 9027/821,3840/383?
Given fractions are 9027/821,3840/383
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 9027/821,3840/383, numerators are 9027,3840
Denominators are 821,383
The GCF of 9027,3840 is 3 .
LCM of 821,383 is 314443.
The greatest common factor of 9027/821,3840/383 = [GCF of 9027,3840]/[LCM of 821,383]= 3/314443
Therefore, the GCF of 9027/821,3840/383 is 3/314443.
To find the highest common factor of 9027,3840, we have to find the factors of both numbers and list the highest common factor.
The factors of 9027 are 1, 3, 9, 17, 51, 59, 153, 177, 531, 1003, 3009, 9027
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 9027,3840 is 3.
Lets's calculate GCF of 9027,3840
| 3 | 9027, 3840 |
| 3009, 1280 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9027,3840 By Matching Biggest Common Factor Method
Now, list down the factors of 9027
:1,3,9,17,51,59,153,177,531,1003,3009,9027
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 9027,3840 . The biggest common factor number is the GCF number.
So the greatest common factor 9027,3840 is 3.
Lets's calculate LCM of 821,383
Given numbers has no common factors except 1. So, there LCM is their product i.e 314443
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/314443
Therefore, the GCF of Fractions 9027/821,3840/383 is 3/314443
Least Common Multiple of 821,383 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 821,383 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(821,383) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(821,383) x common factors =1 x 1 = 1
LCM(821,383) = ( 821 × 383 ) / 1
LCM(821,383) = 314443 / 1
LCM(821,383) = 314443
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FAQs on GCF of Fractions of 9027/821, 3840/383
1. What is the HCF of 9027,3840?
The HCF of 9027,3840 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 9027/821, 3840/383?
Answer: GCF of Numerators as per given numbers 9027/821, 3840/383 is
GCF of Numerators i.e. for 9027,3840 is 3
LCM of denominators i.e. for 821,383 is 314443.
Thus, GCF of Fractions is 3/314443.Finally, GCF of Fractions for 9027/821, 3840/383 is 3/314443.