GCF of 2547/682, 4569/468
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2547/682, 4569/468 i.e 3/159588 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2547/682, 4569/468.
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 2547/682,4569/468?
Given fractions are 2547/682,4569/468
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 2547/682,4569/468, numerators are 2547,4569
Denominators are 682,468
The GCF of 2547,4569 is 3 .
LCM of 682,468 is 159588.
The greatest common factor of 2547/682,4569/468 = [GCF of 2547,4569]/[LCM of 682,468]= 3/159588
Therefore, the GCF of 2547/682,4569/468 is 3/159588.
To find the highest common factor of 2547,4569, we have to find the factors of both numbers and list the highest common factor.
The factors of 2547 are 1, 3, 9, 283, 849, 2547
The factors of 4569 are 1, 3, 1523, 4569
The HCF of 2547,4569 is 3.
Lets's calculate GCF of 2547,4569
| 3 | 2547, 4569 |
| 849, 1523 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2547,4569 By Matching Biggest Common Factor Method
Now, list down the factors of 2547
:1,3,9,283,849,2547
Now, list down the factors of 4569
:1,3,1523,4569
Greatest Common Factor
We found the factors 2547,4569 . The biggest common factor number is the GCF number.
So the greatest common factor 2547,4569 is 3.
Lets's calculate LCM of 682,468
| 2 | 682, 468 |
| 341, 234 |
∴ So the LCM of the given numbers is 2 x 341 x 234 = 159588
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/159588
Therefore, the GCF of Fractions 2547/682,4569/468 is 3/159588
Least Common Multiple of 682,468 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 682,468 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(682,468) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(682,468) x common factors =2 x 1 = 2
LCM(682,468) = ( 682 × 468 ) / 2
LCM(682,468) = 319176 / 2
LCM(682,468) = 159588
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FAQs on GCF of Fractions of 2547/682, 4569/468
1. What is the HCF of 2547,4569?
The HCF of 2547,4569 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 2547/682, 4569/468?
Answer: GCF of Numerators as per given numbers 2547/682, 4569/468 is
GCF of Numerators i.e. for 2547,4569 is 3
LCM of denominators i.e. for 682,468 is 159588.
Thus, GCF of Fractions is 3/159588.Finally, GCF of Fractions for 2547/682, 4569/468 is 3/159588.