GCF of 7026/323, 4158/9329
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7026/323, 4158/9329 i.e 6/158593 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7026/323, 4158/9329.
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 7026/323,4158/9329?
Given fractions are 7026/323,4158/9329
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 7026/323,4158/9329, numerators are 7026,4158
Denominators are 323,9329
The GCF of 7026,4158 is 6 .
LCM of 323,9329 is 158593.
The greatest common factor of 7026/323,4158/9329 = [GCF of 7026,4158]/[LCM of 323,9329]= 6/158593
Therefore, the GCF of 7026/323,4158/9329 is 6/158593.
To find the highest common factor of 7026,4158, we have to find the factors of both numbers and list the highest common factor.
The factors of 7026 are 1, 2, 3, 6, 1171, 2342, 3513, 7026
The factors of 4158 are 1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 27, 33, 42, 54, 63, 66, 77, 99, 126, 154, 189, 198, 231, 297, 378, 462, 594, 693, 1386, 2079, 4158
The HCF of 7026,4158 is 6.
Lets's calculate GCF of 7026,4158
| 2 | 7026, 4158 |
| 3 | 3513, 2079 |
| 1171, 693 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 7026,4158 By Matching Biggest Common Factor Method
Now, list down the factors of 7026
:1,2,3,6,1171,2342,3513,7026
Now, list down the factors of 4158
:1,2,3,6,7,9,11,14,18,21,22,27,33,42,54,63,66,77,99,126,154,189,198,231,297,378,462,594,693,1386,2079,4158
Greatest Common Factor
We found the factors 7026,4158 . The biggest common factor number is the GCF number.
So the greatest common factor 7026,4158 is 6.
Lets's calculate LCM of 323,9329
| 19 | 323, 9329 |
| 17, 491 |
∴ So the LCM of the given numbers is 19 x 17 x 491 = 158593
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/158593
Therefore, the GCF of Fractions 7026/323,4158/9329 is 6/158593
Least Common Multiple of 323,9329 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 323,9329 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(323,9329) = 19
common factors(in case of two or more numbers have common factors) = 1
GCF(323,9329) x common factors =19 x 1 = 19
LCM(323,9329) = ( 323 × 9329 ) / 19
LCM(323,9329) = 3013267 / 19
LCM(323,9329) = 158593
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FAQs on GCF of Fractions of 7026/323, 4158/9329
1. What is the HCF of 7026,4158?
The HCF of 7026,4158 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 7026/323, 4158/9329?
Answer: GCF of Numerators as per given numbers 7026/323, 4158/9329 is
GCF of Numerators i.e. for 7026,4158 is 6
LCM of denominators i.e. for 323,9329 is 158593.
Thus, GCF of Fractions is 6/158593.Finally, GCF of Fractions for 7026/323, 4158/9329 is 6/158593.