GCF of 5889/255, 8710/9940
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5889/255, 8710/9940 i.e 13/506940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5889/255, 8710/9940.
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 5889/255,8710/9940?
Given fractions are 5889/255,8710/9940
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 5889/255,8710/9940, numerators are 5889,8710
Denominators are 255,9940
The GCF of 5889,8710 is 13 .
LCM of 255,9940 is 506940.
The greatest common factor of 5889/255,8710/9940 = [GCF of 5889,8710]/[LCM of 255,9940]= 13/506940
Therefore, the GCF of 5889/255,8710/9940 is 13/506940.
To find the highest common factor of 5889,8710, we have to find the factors of both numbers and list the highest common factor.
The factors of 5889 are 1, 3, 13, 39, 151, 453, 1963, 5889
The factors of 8710 are 1, 2, 5, 10, 13, 26, 65, 67, 130, 134, 335, 670, 871, 1742, 4355, 8710
The HCF of 5889,8710 is 13.
Lets's calculate GCF of 5889,8710
| 13 | 5889, 8710 |
| 453, 670 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 5889,8710 By Matching Biggest Common Factor Method
Now, list down the factors of 5889
:1,3,13,39,151,453,1963,5889
Now, list down the factors of 8710
:1,2,5,10,13,26,65,67,130,134,335,670,871,1742,4355,8710
Greatest Common Factor
We found the factors 5889,8710 . The biggest common factor number is the GCF number.
So the greatest common factor 5889,8710 is 13.
Lets's calculate LCM of 255,9940
| 5 | 255, 9940 |
| 51, 1988 |
∴ So the LCM of the given numbers is 5 x 51 x 1988 = 506940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/506940
Therefore, the GCF of Fractions 5889/255,8710/9940 is 13/506940
Least Common Multiple of 255,9940 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 255,9940 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(255,9940) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(255,9940) x common factors =5 x 1 = 5
LCM(255,9940) = ( 255 × 9940 ) / 5
LCM(255,9940) = 2534700 / 5
LCM(255,9940) = 506940
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FAQs on GCF of Fractions of 5889/255, 8710/9940
1. What is the HCF of 5889,8710?
The HCF of 5889,8710 is 13
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 5889/255, 8710/9940?
Answer: GCF of Numerators as per given numbers 5889/255, 8710/9940 is
GCF of Numerators i.e. for 5889,8710 is 13
LCM of denominators i.e. for 255,9940 is 506940.
Thus, GCF of Fractions is 13/506940.Finally, GCF of Fractions for 5889/255, 8710/9940 is 13/506940.