GCF of 4592/389, 2058/2474
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4592/389, 2058/2474 i.e 14/962386 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4592/389, 2058/2474.
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 4592/389,2058/2474?
Given fractions are 4592/389,2058/2474
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 4592/389,2058/2474, numerators are 4592,2058
Denominators are 389,2474
The GCF of 4592,2058 is 14 .
LCM of 389,2474 is 962386.
The greatest common factor of 4592/389,2058/2474 = [GCF of 4592,2058]/[LCM of 389,2474]= 14/962386
Therefore, the GCF of 4592/389,2058/2474 is 14/962386.
To find the highest common factor of 4592,2058, we have to find the factors of both numbers and list the highest common factor.
The factors of 4592 are 1, 2, 4, 7, 8, 14, 16, 28, 41, 56, 82, 112, 164, 287, 328, 574, 656, 1148, 2296, 4592
The factors of 2058 are 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294, 343, 686, 1029, 2058
The HCF of 4592,2058 is 14.
Lets's calculate GCF of 4592,2058
| 2 | 4592, 2058 |
| 7 | 2296, 1029 |
| 328, 147 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 4592,2058 By Matching Biggest Common Factor Method
Now, list down the factors of 4592
:1,2,4,7,8,14,16,28,41,56,82,112,164,287,328,574,656,1148,2296,4592
Now, list down the factors of 2058
:1,2,3,6,7,14,21,42,49,98,147,294,343,686,1029,2058
Greatest Common Factor
We found the factors 4592,2058 . The biggest common factor number is the GCF number.
So the greatest common factor 4592,2058 is 14.
Lets's calculate LCM of 389,2474
Given numbers has no common factors except 1. So, there LCM is their product i.e 962386
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/962386
Therefore, the GCF of Fractions 4592/389,2058/2474 is 14/962386
Least Common Multiple of 389,2474 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 389,2474 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(389,2474) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(389,2474) x common factors =1 x 1 = 1
LCM(389,2474) = ( 389 × 2474 ) / 1
LCM(389,2474) = 962386 / 1
LCM(389,2474) = 962386
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FAQs on GCF of Fractions of 4592/389, 2058/2474
1. What is the HCF of 4592,2058?
The HCF of 4592,2058 is 14
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 4592/389, 2058/2474?
Answer: GCF of Numerators as per given numbers 4592/389, 2058/2474 is
GCF of Numerators i.e. for 4592,2058 is 14
LCM of denominators i.e. for 389,2474 is 962386.
Thus, GCF of Fractions is 14/962386.Finally, GCF of Fractions for 4592/389, 2058/2474 is 14/962386.