GCF of 6284/403, 9180/512
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6284/403, 9180/512 i.e 4/206336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6284/403, 9180/512.
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 6284/403,9180/512?
Given fractions are 6284/403,9180/512
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 6284/403,9180/512, numerators are 6284,9180
Denominators are 403,512
The GCF of 6284,9180 is 4 .
LCM of 403,512 is 206336.
The greatest common factor of 6284/403,9180/512 = [GCF of 6284,9180]/[LCM of 403,512]= 4/206336
Therefore, the GCF of 6284/403,9180/512 is 4/206336.
To find the highest common factor of 6284,9180, we have to find the factors of both numbers and list the highest common factor.
The factors of 6284 are 1, 2, 4, 1571, 3142, 6284
The factors of 9180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 17, 18, 20, 27, 30, 34, 36, 45, 51, 54, 60, 68, 85, 90, 102, 108, 135, 153, 170, 180, 204, 255, 270, 306, 340, 459, 510, 540, 612, 765, 918, 1020, 1530, 1836, 2295, 3060, 4590, 9180
The HCF of 6284,9180 is 4.
Lets's calculate GCF of 6284,9180
| 2 | 6284, 9180 |
| 2 | 3142, 4590 |
| 1571, 2295 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 6284,9180 By Matching Biggest Common Factor Method
Now, list down the factors of 6284
:1,2,4,1571,3142,6284
Now, list down the factors of 9180
:1,2,3,4,5,6,9,10,12,15,17,18,20,27,30,34,36,45,51,54,60,68,85,90,102,108,135,153,170,180,204,255,270,306,340,459,510,540,612,765,918,1020,1530,1836,2295,3060,4590,9180
Greatest Common Factor
We found the factors 6284,9180 . The biggest common factor number is the GCF number.
So the greatest common factor 6284,9180 is 4.
Lets's calculate LCM of 403,512
Given numbers has no common factors except 1. So, there LCM is their product i.e 206336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/206336
Therefore, the GCF of Fractions 6284/403,9180/512 is 4/206336
Least Common Multiple of 403,512 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 403,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(403,512) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(403,512) x common factors =1 x 1 = 1
LCM(403,512) = ( 403 × 512 ) / 1
LCM(403,512) = 206336 / 1
LCM(403,512) = 206336
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FAQs on GCF of Fractions of 6284/403, 9180/512
1. What is the HCF of 6284,9180?
The HCF of 6284,9180 is 4
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 6284/403, 9180/512?
Answer: GCF of Numerators as per given numbers 6284/403, 9180/512 is
GCF of Numerators i.e. for 6284,9180 is 4
LCM of denominators i.e. for 403,512 is 206336.
Thus, GCF of Fractions is 4/206336.Finally, GCF of Fractions for 6284/403, 9180/512 is 4/206336.