GCF of 4593/461, 2643/4472
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4593/461, 2643/4472 i.e 3/2061592 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4593/461, 2643/4472.
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 4593/461,2643/4472?
Given fractions are 4593/461,2643/4472
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 4593/461,2643/4472, numerators are 4593,2643
Denominators are 461,4472
The GCF of 4593,2643 is 3 .
LCM of 461,4472 is 2061592.
The greatest common factor of 4593/461,2643/4472 = [GCF of 4593,2643]/[LCM of 461,4472]= 3/2061592
Therefore, the GCF of 4593/461,2643/4472 is 3/2061592.
To find the highest common factor of 4593,2643, we have to find the factors of both numbers and list the highest common factor.
The factors of 4593 are 1, 3, 1531, 4593
The factors of 2643 are 1, 3, 881, 2643
The HCF of 4593,2643 is 3.
Lets's calculate GCF of 4593,2643
| 3 | 4593, 2643 |
| 1531, 881 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4593,2643 By Matching Biggest Common Factor Method
Now, list down the factors of 4593
:1,3,1531,4593
Now, list down the factors of 2643
:1,3,881,2643
Greatest Common Factor
We found the factors 4593,2643 . The biggest common factor number is the GCF number.
So the greatest common factor 4593,2643 is 3.
Lets's calculate LCM of 461,4472
Given numbers has no common factors except 1. So, there LCM is their product i.e 2061592
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2061592
Therefore, the GCF of Fractions 4593/461,2643/4472 is 3/2061592
Least Common Multiple of 461,4472 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 461,4472 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(461,4472) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(461,4472) x common factors =1 x 1 = 1
LCM(461,4472) = ( 461 × 4472 ) / 1
LCM(461,4472) = 2061592 / 1
LCM(461,4472) = 2061592
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FAQs on GCF of Fractions of 4593/461, 2643/4472
1. What is the HCF of 4593,2643?
The HCF of 4593,2643 is 3
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 4593/461, 2643/4472?
Answer: GCF of Numerators as per given numbers 4593/461, 2643/4472 is
GCF of Numerators i.e. for 4593,2643 is 3
LCM of denominators i.e. for 461,4472 is 2061592.
Thus, GCF of Fractions is 3/2061592.Finally, GCF of Fractions for 4593/461, 2643/4472 is 3/2061592.