GCF of 4927/582, 5871/6993
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4927/582, 5871/6993 i.e 1/1356642 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4927/582, 5871/6993.
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 4927/582,5871/6993?
Given fractions are 4927/582,5871/6993
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 4927/582,5871/6993, numerators are 4927,5871
Denominators are 582,6993
The GCF of 4927,5871 is 1 .
LCM of 582,6993 is 1356642.
The greatest common factor of 4927/582,5871/6993 = [GCF of 4927,5871]/[LCM of 582,6993]= 1/1356642
Therefore, the GCF of 4927/582,5871/6993 is 1/1356642.
To find the highest common factor of 4927,5871, we have to find the factors of both numbers and list the highest common factor.
The factors of 4927 are 1, 13, 379, 4927
The factors of 5871 are 1, 3, 19, 57, 103, 309, 1957, 5871
The HCF of 4927,5871 is 1.
Lets's calculate GCF of 4927,5871
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4927,5871 By Matching Biggest Common Factor Method
Now, list down the factors of 4927
:1,13,379,4927
Now, list down the factors of 5871
:1,3,19,57,103,309,1957,5871
Greatest Common Factor
We found the factors 4927,5871 . The biggest common factor number is the GCF number.
So the greatest common factor 4927,5871 is 1.
Lets's calculate LCM of 582,6993
| 3 | 582, 6993 |
| 194, 2331 |
∴ So the LCM of the given numbers is 3 x 194 x 2331 = 1356642
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1356642
Therefore, the GCF of Fractions 4927/582,5871/6993 is 1/1356642
Least Common Multiple of 582,6993 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 582,6993 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(582,6993) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(582,6993) x common factors =3 x 1 = 3
LCM(582,6993) = ( 582 × 6993 ) / 3
LCM(582,6993) = 4069926 / 3
LCM(582,6993) = 1356642
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FAQs on GCF of Fractions of 4927/582, 5871/6993
1. What is the HCF of 4927,5871?
The HCF of 4927,5871 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 4927/582, 5871/6993?
Answer: GCF of Numerators as per given numbers 4927/582, 5871/6993 is
GCF of Numerators i.e. for 4927,5871 is 1
LCM of denominators i.e. for 582,6993 is 1356642.
Thus, GCF of Fractions is 1/1356642.Finally, GCF of Fractions for 4927/582, 5871/6993 is 1/1356642.