GCF of 5939/582, 9985/5870
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5939/582, 9985/5870 i.e 1/1708170 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5939/582, 9985/5870.
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 5939/582,9985/5870?
Given fractions are 5939/582,9985/5870
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 5939/582,9985/5870, numerators are 5939,9985
Denominators are 582,5870
The GCF of 5939,9985 is 1 .
LCM of 582,5870 is 1708170.
The greatest common factor of 5939/582,9985/5870 = [GCF of 5939,9985]/[LCM of 582,5870]= 1/1708170
Therefore, the GCF of 5939/582,9985/5870 is 1/1708170.
To find the highest common factor of 5939,9985, we have to find the factors of both numbers and list the highest common factor.
The factors of 5939 are 1, 5939
The factors of 9985 are 1, 5, 1997, 9985
The HCF of 5939,9985 is 1.
Lets's calculate GCF of 5939,9985
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5939,9985 By Matching Biggest Common Factor Method
Now, list down the factors of 5939
:1,5939
Now, list down the factors of 9985
:1,5,1997,9985
Greatest Common Factor
We found the factors 5939,9985 . The biggest common factor number is the GCF number.
So the greatest common factor 5939,9985 is 1.
Lets's calculate LCM of 582,5870
| 2 | 582, 5870 |
| 291, 2935 |
∴ So the LCM of the given numbers is 2 x 291 x 2935 = 1708170
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1708170
Therefore, the GCF of Fractions 5939/582,9985/5870 is 1/1708170
Least Common Multiple of 582,5870 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 582,5870 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(582,5870) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(582,5870) x common factors =2 x 1 = 2
LCM(582,5870) = ( 582 × 5870 ) / 2
LCM(582,5870) = 3416340 / 2
LCM(582,5870) = 1708170
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FAQs on GCF of Fractions of 5939/582, 9985/5870
1. What is the HCF of 5939,9985?
The HCF of 5939,9985 is 1
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 5939/582, 9985/5870?
Answer: GCF of Numerators as per given numbers 5939/582, 9985/5870 is
GCF of Numerators i.e. for 5939,9985 is 1
LCM of denominators i.e. for 582,5870 is 1708170.
Thus, GCF of Fractions is 1/1708170.Finally, GCF of Fractions for 5939/582, 9985/5870 is 1/1708170.