GCF of 4578/592, 4581/716
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4578/592, 4581/716 i.e 3/105968 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4578/592, 4581/716.
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 4578/592,4581/716?
Given fractions are 4578/592,4581/716
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 4578/592,4581/716, numerators are 4578,4581
Denominators are 592,716
The GCF of 4578,4581 is 3 .
LCM of 592,716 is 105968.
The greatest common factor of 4578/592,4581/716 = [GCF of 4578,4581]/[LCM of 592,716]= 3/105968
Therefore, the GCF of 4578/592,4581/716 is 3/105968.
To find the highest common factor of 4578,4581, we have to find the factors of both numbers and list the highest common factor.
The factors of 4578 are 1, 2, 3, 6, 7, 14, 21, 42, 109, 218, 327, 654, 763, 1526, 2289, 4578
The factors of 4581 are 1, 3, 9, 509, 1527, 4581
The HCF of 4578,4581 is 3.
Lets's calculate GCF of 4578,4581
| 3 | 4578, 4581 |
| 1526, 1527 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4578,4581 By Matching Biggest Common Factor Method
Now, list down the factors of 4578
:1,2,3,6,7,14,21,42,109,218,327,654,763,1526,2289,4578
Now, list down the factors of 4581
:1,3,9,509,1527,4581
Greatest Common Factor
We found the factors 4578,4581 . The biggest common factor number is the GCF number.
So the greatest common factor 4578,4581 is 3.
Lets's calculate LCM of 592,716
| 2 | 592, 716 |
| 2 | 296, 358 |
| 148, 179 |
∴ So the LCM of the given numbers is 2 x 2 x 148 x 179 = 105968
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/105968
Therefore, the GCF of Fractions 4578/592,4581/716 is 3/105968
Least Common Multiple of 592,716 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 592,716 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(592,716) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(592,716) x common factors =4 x 1 = 4
LCM(592,716) = ( 592 × 716 ) / 4
LCM(592,716) = 423872 / 4
LCM(592,716) = 105968
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4578/592, 4581/716
1. What is the HCF of 4578,4581?
The HCF of 4578,4581 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 4578/592, 4581/716?
Answer: GCF of Numerators as per given numbers 4578/592, 4581/716 is
GCF of Numerators i.e. for 4578,4581 is 3
LCM of denominators i.e. for 592,716 is 105968.
Thus, GCF of Fractions is 3/105968.Finally, GCF of Fractions for 4578/592, 4581/716 is 3/105968.