GCF of 4042/488, 8262/8946
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4042/488, 8262/8946 i.e 2/2182824 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4042/488, 8262/8946.
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 4042/488,8262/8946?
Given fractions are 4042/488,8262/8946
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 4042/488,8262/8946, numerators are 4042,8262
Denominators are 488,8946
The GCF of 4042,8262 is 2 .
LCM of 488,8946 is 2182824.
The greatest common factor of 4042/488,8262/8946 = [GCF of 4042,8262]/[LCM of 488,8946]= 2/2182824
Therefore, the GCF of 4042/488,8262/8946 is 2/2182824.
To find the highest common factor of 4042,8262, we have to find the factors of both numbers and list the highest common factor.
The factors of 4042 are 1, 2, 43, 47, 86, 94, 2021, 4042
The factors of 8262 are 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 81, 102, 153, 162, 243, 306, 459, 486, 918, 1377, 2754, 4131, 8262
The HCF of 4042,8262 is 2.
Lets's calculate GCF of 4042,8262
| 2 | 4042, 8262 |
| 2021, 4131 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4042,8262 By Matching Biggest Common Factor Method
Now, list down the factors of 4042
:1,2,43,47,86,94,2021,4042
Now, list down the factors of 8262
:1,2,3,6,9,17,18,27,34,51,54,81,102,153,162,243,306,459,486,918,1377,2754,4131,8262
Greatest Common Factor
We found the factors 4042,8262 . The biggest common factor number is the GCF number.
So the greatest common factor 4042,8262 is 2.
Lets's calculate LCM of 488,8946
| 2 | 488, 8946 |
| 244, 4473 |
∴ So the LCM of the given numbers is 2 x 244 x 4473 = 2182824
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2182824
Therefore, the GCF of Fractions 4042/488,8262/8946 is 2/2182824
Least Common Multiple of 488,8946 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 488,8946 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(488,8946) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(488,8946) x common factors =2 x 1 = 2
LCM(488,8946) = ( 488 × 8946 ) / 2
LCM(488,8946) = 4365648 / 2
LCM(488,8946) = 2182824
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FAQs on GCF of Fractions of 4042/488, 8262/8946
1. What is the HCF of 4042,8262?
The HCF of 4042,8262 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 4042/488, 8262/8946?
Answer: GCF of Numerators as per given numbers 4042/488, 8262/8946 is
GCF of Numerators i.e. for 4042,8262 is 2
LCM of denominators i.e. for 488,8946 is 2182824.
Thus, GCF of Fractions is 2/2182824.Finally, GCF of Fractions for 4042/488, 8262/8946 is 2/2182824.