GCF of 2158/324, 1654/576
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2158/324, 1654/576 i.e 2/5184 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2158/324, 1654/576.
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 2158/324,1654/576?
Given fractions are 2158/324,1654/576
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 2158/324,1654/576, numerators are 2158,1654
Denominators are 324,576
The GCF of 2158,1654 is 2 .
LCM of 324,576 is 5184.
The greatest common factor of 2158/324,1654/576 = [GCF of 2158,1654]/[LCM of 324,576]= 2/5184
Therefore, the GCF of 2158/324,1654/576 is 2/5184.
To find the highest common factor of 2158,1654, we have to find the factors of both numbers and list the highest common factor.
The factors of 2158 are 1, 2, 13, 26, 83, 166, 1079, 2158
The factors of 1654 are 1, 2, 827, 1654
The HCF of 2158,1654 is 2.
Lets's calculate GCF of 2158,1654
| 2 | 2158, 1654 |
| 1079, 827 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2158,1654 By Matching Biggest Common Factor Method
Now, list down the factors of 2158
:1,2,13,26,83,166,1079,2158
Now, list down the factors of 1654
:1,2,827,1654
Greatest Common Factor
We found the factors 2158,1654 . The biggest common factor number is the GCF number.
So the greatest common factor 2158,1654 is 2.
Lets's calculate LCM of 324,576
| 2 | 324, 576 |
| 2 | 162, 288 |
| 3 | 81, 144 |
| 3 | 27, 48 |
| 9, 16 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 9 x 16 = 5184
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5184
Therefore, the GCF of Fractions 2158/324,1654/576 is 2/5184
Least Common Multiple of 324,576 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 324,576 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(324,576) = 36
common factors(in case of two or more numbers have common factors) = 1
GCF(324,576) x common factors =36 x 1 = 36
LCM(324,576) = ( 324 × 576 ) / 36
LCM(324,576) = 186624 / 36
LCM(324,576) = 5184
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FAQs on GCF of Fractions of 2158/324, 1654/576
1. What is the HCF of 2158,1654?
The HCF of 2158,1654 is 2
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 2158/324, 1654/576?
Answer: GCF of Numerators as per given numbers 2158/324, 1654/576 is
GCF of Numerators i.e. for 2158,1654 is 2
LCM of denominators i.e. for 324,576 is 5184.
Thus, GCF of Fractions is 2/5184.Finally, GCF of Fractions for 2158/324, 1654/576 is 2/5184.