GCF of 4258/588, 5904/1439
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4258/588, 5904/1439 i.e 2/846132 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4258/588, 5904/1439.
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 4258/588,5904/1439?
Given fractions are 4258/588,5904/1439
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 4258/588,5904/1439, numerators are 4258,5904
Denominators are 588,1439
The GCF of 4258,5904 is 2 .
LCM of 588,1439 is 846132.
The greatest common factor of 4258/588,5904/1439 = [GCF of 4258,5904]/[LCM of 588,1439]= 2/846132
Therefore, the GCF of 4258/588,5904/1439 is 2/846132.
To find the highest common factor of 4258,5904, we have to find the factors of both numbers and list the highest common factor.
The factors of 4258 are 1, 2, 2129, 4258
The factors of 5904 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 41, 48, 72, 82, 123, 144, 164, 246, 328, 369, 492, 656, 738, 984, 1476, 1968, 2952, 5904
The HCF of 4258,5904 is 2.
Lets's calculate GCF of 4258,5904
| 2 | 4258, 5904 |
| 2129, 2952 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4258,5904 By Matching Biggest Common Factor Method
Now, list down the factors of 4258
:1,2,2129,4258
Now, list down the factors of 5904
:1,2,3,4,6,8,9,12,16,18,24,36,41,48,72,82,123,144,164,246,328,369,492,656,738,984,1476,1968,2952,5904
Greatest Common Factor
We found the factors 4258,5904 . The biggest common factor number is the GCF number.
So the greatest common factor 4258,5904 is 2.
Lets's calculate LCM of 588,1439
Given numbers has no common factors except 1. So, there LCM is their product i.e 846132
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/846132
Therefore, the GCF of Fractions 4258/588,5904/1439 is 2/846132
Least Common Multiple of 588,1439 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 588,1439 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(588,1439) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(588,1439) x common factors =1 x 1 = 1
LCM(588,1439) = ( 588 × 1439 ) / 1
LCM(588,1439) = 846132 / 1
LCM(588,1439) = 846132
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FAQs on GCF of Fractions of 4258/588, 5904/1439
1. What is the HCF of 4258,5904?
The HCF of 4258,5904 is 2
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 4258/588, 5904/1439?
Answer: GCF of Numerators as per given numbers 4258/588, 5904/1439 is
GCF of Numerators i.e. for 4258,5904 is 2
LCM of denominators i.e. for 588,1439 is 846132.
Thus, GCF of Fractions is 2/846132.Finally, GCF of Fractions for 4258/588, 5904/1439 is 2/846132.