GCF of 6366/461, 7438/4022
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6366/461, 7438/4022 i.e 2/1854142 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6366/461, 7438/4022.
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 6366/461,7438/4022?
Given fractions are 6366/461,7438/4022
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 6366/461,7438/4022, numerators are 6366,7438
Denominators are 461,4022
The GCF of 6366,7438 is 2 .
LCM of 461,4022 is 1854142.
The greatest common factor of 6366/461,7438/4022 = [GCF of 6366,7438]/[LCM of 461,4022]= 2/1854142
Therefore, the GCF of 6366/461,7438/4022 is 2/1854142.
To find the highest common factor of 6366,7438, we have to find the factors of both numbers and list the highest common factor.
The factors of 6366 are 1, 2, 3, 6, 1061, 2122, 3183, 6366
The factors of 7438 are 1, 2, 3719, 7438
The HCF of 6366,7438 is 2.
Lets's calculate GCF of 6366,7438
| 2 | 6366, 7438 |
| 3183, 3719 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6366,7438 By Matching Biggest Common Factor Method
Now, list down the factors of 6366
:1,2,3,6,1061,2122,3183,6366
Now, list down the factors of 7438
:1,2,3719,7438
Greatest Common Factor
We found the factors 6366,7438 . The biggest common factor number is the GCF number.
So the greatest common factor 6366,7438 is 2.
Lets's calculate LCM of 461,4022
Given numbers has no common factors except 1. So, there LCM is their product i.e 1854142
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1854142
Therefore, the GCF of Fractions 6366/461,7438/4022 is 2/1854142
Least Common Multiple of 461,4022 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 461,4022 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(461,4022) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(461,4022) x common factors =1 x 1 = 1
LCM(461,4022) = ( 461 × 4022 ) / 1
LCM(461,4022) = 1854142 / 1
LCM(461,4022) = 1854142
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FAQs on GCF of Fractions of 6366/461, 7438/4022
1. What is the HCF of 6366,7438?
The HCF of 6366,7438 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 6366/461, 7438/4022?
Answer: GCF of Numerators as per given numbers 6366/461, 7438/4022 is
GCF of Numerators i.e. for 6366,7438 is 2
LCM of denominators i.e. for 461,4022 is 1854142.
Thus, GCF of Fractions is 2/1854142.Finally, GCF of Fractions for 6366/461, 7438/4022 is 2/1854142.