GCF of 6642/230, 1842/1914
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6642/230, 1842/1914 i.e 6/220110 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6642/230, 1842/1914.
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 6642/230,1842/1914?
Given fractions are 6642/230,1842/1914
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 6642/230,1842/1914, numerators are 6642,1842
Denominators are 230,1914
The GCF of 6642,1842 is 6 .
LCM of 230,1914 is 220110.
The greatest common factor of 6642/230,1842/1914 = [GCF of 6642,1842]/[LCM of 230,1914]= 6/220110
Therefore, the GCF of 6642/230,1842/1914 is 6/220110.
To find the highest common factor of 6642,1842, we have to find the factors of both numbers and list the highest common factor.
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 factors of 1842 are 1, 2, 3, 6, 307, 614, 921, 1842
The HCF of 6642,1842 is 6.
Lets's calculate GCF of 6642,1842
| 2 | 6642, 1842 |
| 3 | 3321, 921 |
| 1107, 307 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 6642,1842 By Matching Biggest Common Factor Method
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
Now, list down the factors of 1842
:1,2,3,6,307,614,921,1842
Greatest Common Factor
We found the factors 6642,1842 . The biggest common factor number is the GCF number.
So the greatest common factor 6642,1842 is 6.
Lets's calculate LCM of 230,1914
| 2 | 230, 1914 |
| 115, 957 |
∴ So the LCM of the given numbers is 2 x 115 x 957 = 220110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/220110
Therefore, the GCF of Fractions 6642/230,1842/1914 is 6/220110
Least Common Multiple of 230,1914 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 230,1914 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(230,1914) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(230,1914) x common factors =2 x 1 = 2
LCM(230,1914) = ( 230 × 1914 ) / 2
LCM(230,1914) = 440220 / 2
LCM(230,1914) = 220110
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FAQs on GCF of Fractions of 6642/230, 1842/1914
1. What is the HCF of 6642,1842?
The HCF of 6642,1842 is 6
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 6642/230, 1842/1914?
Answer: GCF of Numerators as per given numbers 6642/230, 1842/1914 is
GCF of Numerators i.e. for 6642,1842 is 6
LCM of denominators i.e. for 230,1914 is 220110.
Thus, GCF of Fractions is 6/220110.Finally, GCF of Fractions for 6642/230, 1842/1914 is 6/220110.