GCF of 4569/378, 7125/1326
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4569/378, 7125/1326 i.e 3/83538 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4569/378, 7125/1326.
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 4569/378,7125/1326?
Given fractions are 4569/378,7125/1326
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 4569/378,7125/1326, numerators are 4569,7125
Denominators are 378,1326
The GCF of 4569,7125 is 3 .
LCM of 378,1326 is 83538.
The greatest common factor of 4569/378,7125/1326 = [GCF of 4569,7125]/[LCM of 378,1326]= 3/83538
Therefore, the GCF of 4569/378,7125/1326 is 3/83538.
To find the highest common factor of 4569,7125, we have to find the factors of both numbers and list the highest common factor.
The factors of 4569 are 1, 3, 1523, 4569
The factors of 7125 are 1, 3, 5, 15, 19, 25, 57, 75, 95, 125, 285, 375, 475, 1425, 2375, 7125
The HCF of 4569,7125 is 3.
Lets's calculate GCF of 4569,7125
| 3 | 4569, 7125 |
| 1523, 2375 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4569,7125 By Matching Biggest Common Factor Method
Now, list down the factors of 4569
:1,3,1523,4569
Now, list down the factors of 7125
:1,3,5,15,19,25,57,75,95,125,285,375,475,1425,2375,7125
Greatest Common Factor
We found the factors 4569,7125 . The biggest common factor number is the GCF number.
So the greatest common factor 4569,7125 is 3.
Lets's calculate LCM of 378,1326
| 2 | 378, 1326 |
| 3 | 189, 663 |
| 63, 221 |
∴ So the LCM of the given numbers is 2 x 3 x 63 x 221 = 83538
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/83538
Therefore, the GCF of Fractions 4569/378,7125/1326 is 3/83538
Least Common Multiple of 378,1326 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 378,1326 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(378,1326) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(378,1326) x common factors =6 x 1 = 6
LCM(378,1326) = ( 378 × 1326 ) / 6
LCM(378,1326) = 501228 / 6
LCM(378,1326) = 83538
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FAQs on GCF of Fractions of 4569/378, 7125/1326
1. What is the HCF of 4569,7125?
The HCF of 4569,7125 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 4569/378, 7125/1326?
Answer: GCF of Numerators as per given numbers 4569/378, 7125/1326 is
GCF of Numerators i.e. for 4569,7125 is 3
LCM of denominators i.e. for 378,1326 is 83538.
Thus, GCF of Fractions is 3/83538.Finally, GCF of Fractions for 4569/378, 7125/1326 is 3/83538.