GCF of 2481/586, 8643/144
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2481/586, 8643/144 i.e 3/42192 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2481/586, 8643/144.
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 2481/586,8643/144?
Given fractions are 2481/586,8643/144
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 2481/586,8643/144, numerators are 2481,8643
Denominators are 586,144
The GCF of 2481,8643 is 3 .
LCM of 586,144 is 42192.
The greatest common factor of 2481/586,8643/144 = [GCF of 2481,8643]/[LCM of 586,144]= 3/42192
Therefore, the GCF of 2481/586,8643/144 is 3/42192.
To find the highest common factor of 2481,8643, we have to find the factors of both numbers and list the highest common factor.
The factors of 2481 are 1, 3, 827, 2481
The factors of 8643 are 1, 3, 43, 67, 129, 201, 2881, 8643
The HCF of 2481,8643 is 3.
Lets's calculate GCF of 2481,8643
| 3 | 2481, 8643 |
| 827, 2881 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2481,8643 By Matching Biggest Common Factor Method
Now, list down the factors of 2481
:1,3,827,2481
Now, list down the factors of 8643
:1,3,43,67,129,201,2881,8643
Greatest Common Factor
We found the factors 2481,8643 . The biggest common factor number is the GCF number.
So the greatest common factor 2481,8643 is 3.
Lets's calculate LCM of 586,144
| 2 | 586, 144 |
| 293, 72 |
∴ So the LCM of the given numbers is 2 x 293 x 72 = 42192
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/42192
Therefore, the GCF of Fractions 2481/586,8643/144 is 3/42192
Least Common Multiple of 586,144 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 586,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(586,144) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(586,144) x common factors =2 x 1 = 2
LCM(586,144) = ( 586 × 144 ) / 2
LCM(586,144) = 84384 / 2
LCM(586,144) = 42192
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FAQs on GCF of Fractions of 2481/586, 8643/144
1. What is the HCF of 2481,8643?
The HCF of 2481,8643 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 2481/586, 8643/144?
Answer: GCF of Numerators as per given numbers 2481/586, 8643/144 is
GCF of Numerators i.e. for 2481,8643 is 3
LCM of denominators i.e. for 586,144 is 42192.
Thus, GCF of Fractions is 3/42192.Finally, GCF of Fractions for 2481/586, 8643/144 is 3/42192.