GCF of 582/217, 204/504, 851/419
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 582/217, 204/504, 851/419 i.e 1/6546456 easily. The following is the detailed procedure to determine the greatest common factor of fractions 582/217, 204/504, 851/419.
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 582/217,204/504,851/419?
Given fractions are 582/217,204/504,851/419
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 582/217,204/504,851/419, numerators are 582,204,851
Denominators are 217,504,419
The GCF of 582,204,851 is 1 .
LCM of 217,504,419 is 6546456.
The greatest common factor of 582/217,204/504,851/419 = [GCF of 582,204,851]/[LCM of 217,504,419]= 1/6546456
Therefore, the GCF of 582/217,204/504,851/419 is 1/6546456.
To find the highest common factor of 582,204,851, we have to find the factors of both numbers and list the highest common factor.
The factors of 582 are 1, 2, 3, 6, 97, 194, 291, 582
The factors of 204 are 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
The factors of 851 are 1, 23, 37, 851
The HCF of 582,204,851 is 1.
Lets's calculate GCF of 582,204,851
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 582,204,851 By Matching Biggest Common Factor Method
Now, list down the factors of 582
:1,2,3,6,97,194,291,582
Now, list down the factors of 204
:1,2,3,4,6,12,17,34,51,68,102,204
Now, list down the factors of 851
:1,23,37,851
Greatest Common Factor
We found the factors 582,204,851 . The biggest common factor number is the GCF number.
So the greatest common factor 582,204,851 is 1.
Lets's calculate LCM of 217,504,419
| 7 | 217, 504, 419 |
| 31, 72, 419 |
∴ So the LCM of the given numbers is 7 x 31 x 72 x 419 = 6546456
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6546456
Therefore, the GCF of Fractions 582/217,204/504,851/419 is 1/6546456
Least Common Multiple of 217,504,419 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 217,504,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(217,504,419) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(217,504,419) x common factors =1 x 7 = 7
LCM(217,504,419) = ( 217 × 504 × 419 ) / 7
LCM(217,504,419) = 45825192 / 7
LCM(217,504,419) = 6546456
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FAQs on GCF of Fractions of 582/217, 204/504, 851/419
1. What is the HCF of 582,204,851?
The HCF of 582,204,851 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 582/217, 204/504, 851/419?
Answer: GCF of Numerators as per given numbers 582/217, 204/504, 851/419 is
GCF of Numerators i.e. for 582,204,851 is 1
LCM of denominators i.e. for 217,504,419 is 6546456.
Thus, GCF of Fractions is 1/6546456.Finally, GCF of Fractions for 582/217, 204/504, 851/419 is 1/6546456.