GCF of 5788/721, 9060/6611
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5788/721, 9060/6611 i.e 4/4766531 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5788/721, 9060/6611.
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 5788/721,9060/6611?
Given fractions are 5788/721,9060/6611
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 5788/721,9060/6611, numerators are 5788,9060
Denominators are 721,6611
The GCF of 5788,9060 is 4 .
LCM of 721,6611 is 4766531.
The greatest common factor of 5788/721,9060/6611 = [GCF of 5788,9060]/[LCM of 721,6611]= 4/4766531
Therefore, the GCF of 5788/721,9060/6611 is 4/4766531.
To find the highest common factor of 5788,9060, we have to find the factors of both numbers and list the highest common factor.
The factors of 5788 are 1, 2, 4, 1447, 2894, 5788
The factors of 9060 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 151, 302, 453, 604, 755, 906, 1510, 1812, 2265, 3020, 4530, 9060
The HCF of 5788,9060 is 4.
Lets's calculate GCF of 5788,9060
| 2 | 5788, 9060 |
| 2 | 2894, 4530 |
| 1447, 2265 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 5788,9060 By Matching Biggest Common Factor Method
Now, list down the factors of 5788
:1,2,4,1447,2894,5788
Now, list down the factors of 9060
:1,2,3,4,5,6,10,12,15,20,30,60,151,302,453,604,755,906,1510,1812,2265,3020,4530,9060
Greatest Common Factor
We found the factors 5788,9060 . The biggest common factor number is the GCF number.
So the greatest common factor 5788,9060 is 4.
Lets's calculate LCM of 721,6611
Given numbers has no common factors except 1. So, there LCM is their product i.e 4766531
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/4766531
Therefore, the GCF of Fractions 5788/721,9060/6611 is 4/4766531
Least Common Multiple of 721,6611 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 721,6611 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(721,6611) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(721,6611) x common factors =1 x 1 = 1
LCM(721,6611) = ( 721 × 6611 ) / 1
LCM(721,6611) = 4766531 / 1
LCM(721,6611) = 4766531
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FAQs on GCF of Fractions of 5788/721, 9060/6611
1. What is the HCF of 5788,9060?
The HCF of 5788,9060 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 5788/721, 9060/6611?
Answer: GCF of Numerators as per given numbers 5788/721, 9060/6611 is
GCF of Numerators i.e. for 5788,9060 is 4
LCM of denominators i.e. for 721,6611 is 4766531.
Thus, GCF of Fractions is 4/4766531.Finally, GCF of Fractions for 5788/721, 9060/6611 is 4/4766531.