GCF of 5577/469, 4329/2783
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5577/469, 4329/2783 i.e 39/1305227 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5577/469, 4329/2783.
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 5577/469,4329/2783?
Given fractions are 5577/469,4329/2783
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 5577/469,4329/2783, numerators are 5577,4329
Denominators are 469,2783
The GCF of 5577,4329 is 39 .
LCM of 469,2783 is 1305227.
The greatest common factor of 5577/469,4329/2783 = [GCF of 5577,4329]/[LCM of 469,2783]= 39/1305227
Therefore, the GCF of 5577/469,4329/2783 is 39/1305227.
To find the highest common factor of 5577,4329, we have to find the factors of both numbers and list the highest common factor.
The factors of 5577 are 1, 3, 11, 13, 33, 39, 143, 169, 429, 507, 1859, 5577
The factors of 4329 are 1, 3, 9, 13, 37, 39, 111, 117, 333, 481, 1443, 4329
The HCF of 5577,4329 is 39.
Lets's calculate GCF of 5577,4329
| 3 | 5577, 4329 |
| 13 | 1859, 1443 |
| 143, 111 |
∴ So the GCF of the given numbers is 3 x 13 = 39
Greatest Common Factor of 5577,4329 By Matching Biggest Common Factor Method
Now, list down the factors of 5577
:1,3,11,13,33,39,143,169,429,507,1859,5577
Now, list down the factors of 4329
:1,3,9,13,37,39,111,117,333,481,1443,4329
Greatest Common Factor
We found the factors 5577,4329 . The biggest common factor number is the GCF number.
So the greatest common factor 5577,4329 is 39.
Lets's calculate LCM of 469,2783
Given numbers has no common factors except 1. So, there LCM is their product i.e 1305227
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 39/1305227
Therefore, the GCF of Fractions 5577/469,4329/2783 is 39/1305227
Least Common Multiple of 469,2783 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 469,2783 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(469,2783) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(469,2783) x common factors =1 x 1 = 1
LCM(469,2783) = ( 469 × 2783 ) / 1
LCM(469,2783) = 1305227 / 1
LCM(469,2783) = 1305227
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FAQs on GCF of Fractions of 5577/469, 4329/2783
1. What is the HCF of 5577,4329?
The HCF of 5577,4329 is 39
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 5577/469, 4329/2783?
Answer: GCF of Numerators as per given numbers 5577/469, 4329/2783 is
GCF of Numerators i.e. for 5577,4329 is 39
LCM of denominators i.e. for 469,2783 is 1305227.
Thus, GCF of Fractions is 39/1305227.Finally, GCF of Fractions for 5577/469, 4329/2783 is 39/1305227.