GCF of 8405/582, 3479/8202
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8405/582, 3479/8202 i.e 1/795594 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8405/582, 3479/8202.
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 8405/582,3479/8202?
Given fractions are 8405/582,3479/8202
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 8405/582,3479/8202, numerators are 8405,3479
Denominators are 582,8202
The GCF of 8405,3479 is 1 .
LCM of 582,8202 is 795594.
The greatest common factor of 8405/582,3479/8202 = [GCF of 8405,3479]/[LCM of 582,8202]= 1/795594
Therefore, the GCF of 8405/582,3479/8202 is 1/795594.
To find the highest common factor of 8405,3479, we have to find the factors of both numbers and list the highest common factor.
The factors of 8405 are 1, 5, 41, 205, 1681, 8405
The factors of 3479 are 1, 7, 49, 71, 497, 3479
The HCF of 8405,3479 is 1.
Lets's calculate GCF of 8405,3479
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8405,3479 By Matching Biggest Common Factor Method
Now, list down the factors of 8405
:1,5,41,205,1681,8405
Now, list down the factors of 3479
:1,7,49,71,497,3479
Greatest Common Factor
We found the factors 8405,3479 . The biggest common factor number is the GCF number.
So the greatest common factor 8405,3479 is 1.
Lets's calculate LCM of 582,8202
| 2 | 582, 8202 |
| 3 | 291, 4101 |
| 97, 1367 |
∴ So the LCM of the given numbers is 2 x 3 x 97 x 1367 = 795594
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/795594
Therefore, the GCF of Fractions 8405/582,3479/8202 is 1/795594
Least Common Multiple of 582,8202 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 582,8202 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(582,8202) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(582,8202) x common factors =6 x 1 = 6
LCM(582,8202) = ( 582 × 8202 ) / 6
LCM(582,8202) = 4773564 / 6
LCM(582,8202) = 795594
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FAQs on GCF of Fractions of 8405/582, 3479/8202
1. What is the HCF of 8405,3479?
The HCF of 8405,3479 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 8405/582, 3479/8202?
Answer: GCF of Numerators as per given numbers 8405/582, 3479/8202 is
GCF of Numerators i.e. for 8405,3479 is 1
LCM of denominators i.e. for 582,8202 is 795594.
Thus, GCF of Fractions is 1/795594.Finally, GCF of Fractions for 8405/582, 3479/8202 is 1/795594.