GCF of 1632/838, 7569/4522
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1632/838, 7569/4522 i.e 3/1894718 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1632/838, 7569/4522.
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 1632/838,7569/4522?
Given fractions are 1632/838,7569/4522
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 1632/838,7569/4522, numerators are 1632,7569
Denominators are 838,4522
The GCF of 1632,7569 is 3 .
LCM of 838,4522 is 1894718.
The greatest common factor of 1632/838,7569/4522 = [GCF of 1632,7569]/[LCM of 838,4522]= 3/1894718
Therefore, the GCF of 1632/838,7569/4522 is 3/1894718.
To find the highest common factor of 1632,7569, we have to find the factors of both numbers and list the highest common factor.
The factors of 1632 are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 68, 96, 102, 136, 204, 272, 408, 544, 816, 1632
The factors of 7569 are 1, 3, 9, 29, 87, 261, 841, 2523, 7569
The HCF of 1632,7569 is 3.
Lets's calculate GCF of 1632,7569
| 3 | 1632, 7569 |
| 544, 2523 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1632,7569 By Matching Biggest Common Factor Method
Now, list down the factors of 1632
:1,2,3,4,6,8,12,16,17,24,32,34,48,51,68,96,102,136,204,272,408,544,816,1632
Now, list down the factors of 7569
:1,3,9,29,87,261,841,2523,7569
Greatest Common Factor
We found the factors 1632,7569 . The biggest common factor number is the GCF number.
So the greatest common factor 1632,7569 is 3.
Lets's calculate LCM of 838,4522
| 2 | 838, 4522 |
| 419, 2261 |
∴ So the LCM of the given numbers is 2 x 419 x 2261 = 1894718
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1894718
Therefore, the GCF of Fractions 1632/838,7569/4522 is 3/1894718
Least Common Multiple of 838,4522 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 838,4522 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(838,4522) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(838,4522) x common factors =2 x 1 = 2
LCM(838,4522) = ( 838 × 4522 ) / 2
LCM(838,4522) = 3789436 / 2
LCM(838,4522) = 1894718
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FAQs on GCF of Fractions of 1632/838, 7569/4522
1. What is the HCF of 1632,7569?
The HCF of 1632,7569 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 1632/838, 7569/4522?
Answer: GCF of Numerators as per given numbers 1632/838, 7569/4522 is
GCF of Numerators i.e. for 1632,7569 is 3
LCM of denominators i.e. for 838,4522 is 1894718.
Thus, GCF of Fractions is 3/1894718.Finally, GCF of Fractions for 1632/838, 7569/4522 is 3/1894718.