GCF of 5661/569, 9775/4238
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5661/569, 9775/4238 i.e 17/2411422 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5661/569, 9775/4238.
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 5661/569,9775/4238?
Given fractions are 5661/569,9775/4238
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 5661/569,9775/4238, numerators are 5661,9775
Denominators are 569,4238
The GCF of 5661,9775 is 17 .
LCM of 569,4238 is 2411422.
The greatest common factor of 5661/569,9775/4238 = [GCF of 5661,9775]/[LCM of 569,4238]= 17/2411422
Therefore, the GCF of 5661/569,9775/4238 is 17/2411422.
To find the highest common factor of 5661,9775, we have to find the factors of both numbers and list the highest common factor.
The factors of 5661 are 1, 3, 9, 17, 37, 51, 111, 153, 333, 629, 1887, 5661
The factors of 9775 are 1, 5, 17, 23, 25, 85, 115, 391, 425, 575, 1955, 9775
The HCF of 5661,9775 is 17.
Lets's calculate GCF of 5661,9775
| 17 | 5661, 9775 |
| 333, 575 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 5661,9775 By Matching Biggest Common Factor Method
Now, list down the factors of 5661
:1,3,9,17,37,51,111,153,333,629,1887,5661
Now, list down the factors of 9775
:1,5,17,23,25,85,115,391,425,575,1955,9775
Greatest Common Factor
We found the factors 5661,9775 . The biggest common factor number is the GCF number.
So the greatest common factor 5661,9775 is 17.
Lets's calculate LCM of 569,4238
Given numbers has no common factors except 1. So, there LCM is their product i.e 2411422
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/2411422
Therefore, the GCF of Fractions 5661/569,9775/4238 is 17/2411422
Least Common Multiple of 569,4238 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 569,4238 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(569,4238) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(569,4238) x common factors =1 x 1 = 1
LCM(569,4238) = ( 569 × 4238 ) / 1
LCM(569,4238) = 2411422 / 1
LCM(569,4238) = 2411422
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FAQs on GCF of Fractions of 5661/569, 9775/4238
1. What is the HCF of 5661,9775?
The HCF of 5661,9775 is 17
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 5661/569, 9775/4238?
Answer: GCF of Numerators as per given numbers 5661/569, 9775/4238 is
GCF of Numerators i.e. for 5661,9775 is 17
LCM of denominators i.e. for 569,4238 is 2411422.
Thus, GCF of Fractions is 17/2411422.Finally, GCF of Fractions for 5661/569, 9775/4238 is 17/2411422.