GCF of 3483/425, 6642/8892
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3483/425, 6642/8892 i.e 81/3779100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3483/425, 6642/8892.
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 3483/425,6642/8892?
Given fractions are 3483/425,6642/8892
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 3483/425,6642/8892, numerators are 3483,6642
Denominators are 425,8892
The GCF of 3483,6642 is 81 .
LCM of 425,8892 is 3779100.
The greatest common factor of 3483/425,6642/8892 = [GCF of 3483,6642]/[LCM of 425,8892]= 81/3779100
Therefore, the GCF of 3483/425,6642/8892 is 81/3779100.
To find the highest common factor of 3483,6642, we have to find the factors of both numbers and list the highest common factor.
The factors of 3483 are 1, 3, 9, 27, 43, 81, 129, 387, 1161, 3483
The factors of 6642 are 1, 2, 3, 6, 9, 18, 27, 41, 54, 81, 82, 123, 162, 246, 369, 738, 1107, 2214, 3321, 6642
The HCF of 3483,6642 is 81.
Lets's calculate GCF of 3483,6642
| 3 | 3483, 6642 |
| 3 | 1161, 2214 |
| 3 | 387, 738 |
| 3 | 129, 246 |
| 43, 82 |
∴ So the GCF of the given numbers is 3 x 3 x 3 x 3 = 81
Greatest Common Factor of 3483,6642 By Matching Biggest Common Factor Method
Now, list down the factors of 3483
:1,3,9,27,43,81,129,387,1161,3483
Now, list down the factors of 6642
:1,2,3,6,9,18,27,41,54,81,82,123,162,246,369,738,1107,2214,3321,6642
Greatest Common Factor
We found the factors 3483,6642 . The biggest common factor number is the GCF number.
So the greatest common factor 3483,6642 is 81.
Lets's calculate LCM of 425,8892
Given numbers has no common factors except 1. So, there LCM is their product i.e 3779100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 81/3779100
Therefore, the GCF of Fractions 3483/425,6642/8892 is 81/3779100
Least Common Multiple of 425,8892 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 425,8892 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(425,8892) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(425,8892) x common factors =1 x 1 = 1
LCM(425,8892) = ( 425 × 8892 ) / 1
LCM(425,8892) = 3779100 / 1
LCM(425,8892) = 3779100
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FAQs on GCF of Fractions of 3483/425, 6642/8892
1. What is the HCF of 3483,6642?
The HCF of 3483,6642 is 81
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 3483/425, 6642/8892?
Answer: GCF of Numerators as per given numbers 3483/425, 6642/8892 is
GCF of Numerators i.e. for 3483,6642 is 81
LCM of denominators i.e. for 425,8892 is 3779100.
Thus, GCF of Fractions is 81/3779100.Finally, GCF of Fractions for 3483/425, 6642/8892 is 81/3779100.