GCF of 3566/903, 9060/3913
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3566/903, 9060/3913 i.e 2/11739 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3566/903, 9060/3913.
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 3566/903,9060/3913?
Given fractions are 3566/903,9060/3913
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 3566/903,9060/3913, numerators are 3566,9060
Denominators are 903,3913
The GCF of 3566,9060 is 2 .
LCM of 903,3913 is 11739.
The greatest common factor of 3566/903,9060/3913 = [GCF of 3566,9060]/[LCM of 903,3913]= 2/11739
Therefore, the GCF of 3566/903,9060/3913 is 2/11739.
To find the highest common factor of 3566,9060, we have to find the factors of both numbers and list the highest common factor.
The factors of 3566 are 1, 2, 1783, 3566
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 3566,9060 is 2.
Lets's calculate GCF of 3566,9060
| 2 | 3566, 9060 |
| 1783, 4530 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3566,9060 By Matching Biggest Common Factor Method
Now, list down the factors of 3566
:1,2,1783,3566
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 3566,9060 . The biggest common factor number is the GCF number.
So the greatest common factor 3566,9060 is 2.
Lets's calculate LCM of 903,3913
| 7 | 903, 3913 |
| 43 | 129, 559 |
| 3, 13 |
∴ So the LCM of the given numbers is 7 x 43 x 3 x 13 = 11739
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11739
Therefore, the GCF of Fractions 3566/903,9060/3913 is 2/11739
Least Common Multiple of 903,3913 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 903,3913 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(903,3913) = 301
common factors(in case of two or more numbers have common factors) = 1
GCF(903,3913) x common factors =301 x 1 = 301
LCM(903,3913) = ( 903 × 3913 ) / 301
LCM(903,3913) = 3533439 / 301
LCM(903,3913) = 11739
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FAQs on GCF of Fractions of 3566/903, 9060/3913
1. What is the HCF of 3566,9060?
The HCF of 3566,9060 is 2
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 3566/903, 9060/3913?
Answer: GCF of Numerators as per given numbers 3566/903, 9060/3913 is
GCF of Numerators i.e. for 3566,9060 is 2
LCM of denominators i.e. for 903,3913 is 11739.
Thus, GCF of Fractions is 2/11739.Finally, GCF of Fractions for 3566/903, 9060/3913 is 2/11739.