GCF of 5781/330, 5577/3886
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5781/330, 5577/3886 i.e 3/641190 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5781/330, 5577/3886.
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 5781/330,5577/3886?
Given fractions are 5781/330,5577/3886
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 5781/330,5577/3886, numerators are 5781,5577
Denominators are 330,3886
The GCF of 5781,5577 is 3 .
LCM of 330,3886 is 641190.
The greatest common factor of 5781/330,5577/3886 = [GCF of 5781,5577]/[LCM of 330,3886]= 3/641190
Therefore, the GCF of 5781/330,5577/3886 is 3/641190.
To find the highest common factor of 5781,5577, we have to find the factors of both numbers and list the highest common factor.
The factors of 5781 are 1, 3, 41, 47, 123, 141, 1927, 5781
The factors of 5577 are 1, 3, 11, 13, 33, 39, 143, 169, 429, 507, 1859, 5577
The HCF of 5781,5577 is 3.
Lets's calculate GCF of 5781,5577
| 3 | 5781, 5577 |
| 1927, 1859 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5781,5577 By Matching Biggest Common Factor Method
Now, list down the factors of 5781
:1,3,41,47,123,141,1927,5781
Now, list down the factors of 5577
:1,3,11,13,33,39,143,169,429,507,1859,5577
Greatest Common Factor
We found the factors 5781,5577 . The biggest common factor number is the GCF number.
So the greatest common factor 5781,5577 is 3.
Lets's calculate LCM of 330,3886
| 2 | 330, 3886 |
| 165, 1943 |
∴ So the LCM of the given numbers is 2 x 165 x 1943 = 641190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/641190
Therefore, the GCF of Fractions 5781/330,5577/3886 is 3/641190
Least Common Multiple of 330,3886 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 330,3886 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(330,3886) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(330,3886) x common factors =2 x 1 = 2
LCM(330,3886) = ( 330 × 3886 ) / 2
LCM(330,3886) = 1282380 / 2
LCM(330,3886) = 641190
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FAQs on GCF of Fractions of 5781/330, 5577/3886
1. What is the HCF of 5781,5577?
The HCF of 5781,5577 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 5781/330, 5577/3886?
Answer: GCF of Numerators as per given numbers 5781/330, 5577/3886 is
GCF of Numerators i.e. for 5781,5577 is 3
LCM of denominators i.e. for 330,3886 is 641190.
Thus, GCF of Fractions is 3/641190.Finally, GCF of Fractions for 5781/330, 5577/3886 is 3/641190.