GCF of 4575/730, 8541/821
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4575/730, 8541/821 i.e 3/599330 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4575/730, 8541/821.
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 4575/730,8541/821?
Given fractions are 4575/730,8541/821
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 4575/730,8541/821, numerators are 4575,8541
Denominators are 730,821
The GCF of 4575,8541 is 3 .
LCM of 730,821 is 599330.
The greatest common factor of 4575/730,8541/821 = [GCF of 4575,8541]/[LCM of 730,821]= 3/599330
Therefore, the GCF of 4575/730,8541/821 is 3/599330.
To find the highest common factor of 4575,8541, we have to find the factors of both numbers and list the highest common factor.
The factors of 4575 are 1, 3, 5, 15, 25, 61, 75, 183, 305, 915, 1525, 4575
The factors of 8541 are 1, 3, 9, 13, 39, 73, 117, 219, 657, 949, 2847, 8541
The HCF of 4575,8541 is 3.
Lets's calculate GCF of 4575,8541
| 3 | 4575, 8541 |
| 1525, 2847 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4575,8541 By Matching Biggest Common Factor Method
Now, list down the factors of 4575
:1,3,5,15,25,61,75,183,305,915,1525,4575
Now, list down the factors of 8541
:1,3,9,13,39,73,117,219,657,949,2847,8541
Greatest Common Factor
We found the factors 4575,8541 . The biggest common factor number is the GCF number.
So the greatest common factor 4575,8541 is 3.
Lets's calculate LCM of 730,821
Given numbers has no common factors except 1. So, there LCM is their product i.e 599330
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/599330
Therefore, the GCF of Fractions 4575/730,8541/821 is 3/599330
Least Common Multiple of 730,821 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 730,821 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(730,821) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(730,821) x common factors =1 x 1 = 1
LCM(730,821) = ( 730 × 821 ) / 1
LCM(730,821) = 599330 / 1
LCM(730,821) = 599330
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FAQs on GCF of Fractions of 4575/730, 8541/821
1. What is the HCF of 4575,8541?
The HCF of 4575,8541 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 4575/730, 8541/821?
Answer: GCF of Numerators as per given numbers 4575/730, 8541/821 is
GCF of Numerators i.e. for 4575,8541 is 3
LCM of denominators i.e. for 730,821 is 599330.
Thus, GCF of Fractions is 3/599330.Finally, GCF of Fractions for 4575/730, 8541/821 is 3/599330.