GCF of 4083/512, 1479/6536
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4083/512, 1479/6536 i.e 3/418304 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4083/512, 1479/6536.
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 4083/512,1479/6536?
Given fractions are 4083/512,1479/6536
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 4083/512,1479/6536, numerators are 4083,1479
Denominators are 512,6536
The GCF of 4083,1479 is 3 .
LCM of 512,6536 is 418304.
The greatest common factor of 4083/512,1479/6536 = [GCF of 4083,1479]/[LCM of 512,6536]= 3/418304
Therefore, the GCF of 4083/512,1479/6536 is 3/418304.
To find the highest common factor of 4083,1479, we have to find the factors of both numbers and list the highest common factor.
The factors of 4083 are 1, 3, 1361, 4083
The factors of 1479 are 1, 3, 17, 29, 51, 87, 493, 1479
The HCF of 4083,1479 is 3.
Lets's calculate GCF of 4083,1479
| 3 | 4083, 1479 |
| 1361, 493 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4083,1479 By Matching Biggest Common Factor Method
Now, list down the factors of 4083
:1,3,1361,4083
Now, list down the factors of 1479
:1,3,17,29,51,87,493,1479
Greatest Common Factor
We found the factors 4083,1479 . The biggest common factor number is the GCF number.
So the greatest common factor 4083,1479 is 3.
Lets's calculate LCM of 512,6536
| 2 | 512, 6536 |
| 2 | 256, 3268 |
| 2 | 128, 1634 |
| 64, 817 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 64 x 817 = 418304
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/418304
Therefore, the GCF of Fractions 4083/512,1479/6536 is 3/418304
Least Common Multiple of 512,6536 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 512,6536 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(512,6536) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(512,6536) x common factors =8 x 1 = 8
LCM(512,6536) = ( 512 × 6536 ) / 8
LCM(512,6536) = 3346432 / 8
LCM(512,6536) = 418304
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FAQs on GCF of Fractions of 4083/512, 1479/6536
1. What is the HCF of 4083,1479?
The HCF of 4083,1479 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 4083/512, 1479/6536?
Answer: GCF of Numerators as per given numbers 4083/512, 1479/6536 is
GCF of Numerators i.e. for 4083,1479 is 3
LCM of denominators i.e. for 512,6536 is 418304.
Thus, GCF of Fractions is 3/418304.Finally, GCF of Fractions for 4083/512, 1479/6536 is 3/418304.