GCF of 6441/354, 8142/4458
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6441/354, 8142/4458 i.e 3/263022 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6441/354, 8142/4458.
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 6441/354,8142/4458?
Given fractions are 6441/354,8142/4458
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 6441/354,8142/4458, numerators are 6441,8142
Denominators are 354,4458
The GCF of 6441,8142 is 3 .
LCM of 354,4458 is 263022.
The greatest common factor of 6441/354,8142/4458 = [GCF of 6441,8142]/[LCM of 354,4458]= 3/263022
Therefore, the GCF of 6441/354,8142/4458 is 3/263022.
To find the highest common factor of 6441,8142, we have to find the factors of both numbers and list the highest common factor.
The factors of 6441 are 1, 3, 19, 57, 113, 339, 2147, 6441
The factors of 8142 are 1, 2, 3, 6, 23, 46, 59, 69, 118, 138, 177, 354, 1357, 2714, 4071, 8142
The HCF of 6441,8142 is 3.
Lets's calculate GCF of 6441,8142
| 3 | 6441, 8142 |
| 2147, 2714 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6441,8142 By Matching Biggest Common Factor Method
Now, list down the factors of 6441
:1,3,19,57,113,339,2147,6441
Now, list down the factors of 8142
:1,2,3,6,23,46,59,69,118,138,177,354,1357,2714,4071,8142
Greatest Common Factor
We found the factors 6441,8142 . The biggest common factor number is the GCF number.
So the greatest common factor 6441,8142 is 3.
Lets's calculate LCM of 354,4458
| 2 | 354, 4458 |
| 3 | 177, 2229 |
| 59, 743 |
∴ So the LCM of the given numbers is 2 x 3 x 59 x 743 = 263022
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/263022
Therefore, the GCF of Fractions 6441/354,8142/4458 is 3/263022
Least Common Multiple of 354,4458 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 354,4458 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(354,4458) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(354,4458) x common factors =6 x 1 = 6
LCM(354,4458) = ( 354 × 4458 ) / 6
LCM(354,4458) = 1578132 / 6
LCM(354,4458) = 263022
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FAQs on GCF of Fractions of 6441/354, 8142/4458
1. What is the HCF of 6441,8142?
The HCF of 6441,8142 is 3
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 6441/354, 8142/4458?
Answer: GCF of Numerators as per given numbers 6441/354, 8142/4458 is
GCF of Numerators i.e. for 6441,8142 is 3
LCM of denominators i.e. for 354,4458 is 263022.
Thus, GCF of Fractions is 3/263022.Finally, GCF of Fractions for 6441/354, 8142/4458 is 3/263022.