GCF of 4158/418, 2546/8838
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4158/418, 2546/8838 i.e 2/1847142 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4158/418, 2546/8838.
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 4158/418,2546/8838?
Given fractions are 4158/418,2546/8838
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 4158/418,2546/8838, numerators are 4158,2546
Denominators are 418,8838
The GCF of 4158,2546 is 2 .
LCM of 418,8838 is 1847142.
The greatest common factor of 4158/418,2546/8838 = [GCF of 4158,2546]/[LCM of 418,8838]= 2/1847142
Therefore, the GCF of 4158/418,2546/8838 is 2/1847142.
To find the highest common factor of 4158,2546, we have to find the factors of both numbers and list the highest common factor.
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 factors of 2546 are 1, 2, 19, 38, 67, 134, 1273, 2546
The HCF of 4158,2546 is 2.
Lets's calculate GCF of 4158,2546
| 2 | 4158, 2546 |
| 2079, 1273 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4158,2546 By Matching Biggest Common Factor Method
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
Now, list down the factors of 2546
:1,2,19,38,67,134,1273,2546
Greatest Common Factor
We found the factors 4158,2546 . The biggest common factor number is the GCF number.
So the greatest common factor 4158,2546 is 2.
Lets's calculate LCM of 418,8838
| 2 | 418, 8838 |
| 209, 4419 |
∴ So the LCM of the given numbers is 2 x 209 x 4419 = 1847142
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1847142
Therefore, the GCF of Fractions 4158/418,2546/8838 is 2/1847142
Least Common Multiple of 418,8838 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 418,8838 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(418,8838) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(418,8838) x common factors =2 x 1 = 2
LCM(418,8838) = ( 418 × 8838 ) / 2
LCM(418,8838) = 3694284 / 2
LCM(418,8838) = 1847142
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FAQs on GCF of Fractions of 4158/418, 2546/8838
1. What is the HCF of 4158,2546?
The HCF of 4158,2546 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 4158/418, 2546/8838?
Answer: GCF of Numerators as per given numbers 4158/418, 2546/8838 is
GCF of Numerators i.e. for 4158,2546 is 2
LCM of denominators i.e. for 418,8838 is 1847142.
Thus, GCF of Fractions is 2/1847142.Finally, GCF of Fractions for 4158/418, 2546/8838 is 2/1847142.