GCF of 6338/729, 9404/2192
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6338/729, 9404/2192 i.e 2/1597968 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6338/729, 9404/2192.
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 6338/729,9404/2192?
Given fractions are 6338/729,9404/2192
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 6338/729,9404/2192, numerators are 6338,9404
Denominators are 729,2192
The GCF of 6338,9404 is 2 .
LCM of 729,2192 is 1597968.
The greatest common factor of 6338/729,9404/2192 = [GCF of 6338,9404]/[LCM of 729,2192]= 2/1597968
Therefore, the GCF of 6338/729,9404/2192 is 2/1597968.
To find the highest common factor of 6338,9404, we have to find the factors of both numbers and list the highest common factor.
The factors of 6338 are 1, 2, 3169, 6338
The factors of 9404 are 1, 2, 4, 2351, 4702, 9404
The HCF of 6338,9404 is 2.
Lets's calculate GCF of 6338,9404
| 2 | 6338, 9404 |
| 3169, 4702 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6338,9404 By Matching Biggest Common Factor Method
Now, list down the factors of 6338
:1,2,3169,6338
Now, list down the factors of 9404
:1,2,4,2351,4702,9404
Greatest Common Factor
We found the factors 6338,9404 . The biggest common factor number is the GCF number.
So the greatest common factor 6338,9404 is 2.
Lets's calculate LCM of 729,2192
Given numbers has no common factors except 1. So, there LCM is their product i.e 1597968
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1597968
Therefore, the GCF of Fractions 6338/729,9404/2192 is 2/1597968
Least Common Multiple of 729,2192 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 729,2192 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(729,2192) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(729,2192) x common factors =1 x 1 = 1
LCM(729,2192) = ( 729 × 2192 ) / 1
LCM(729,2192) = 1597968 / 1
LCM(729,2192) = 1597968
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FAQs on GCF of Fractions of 6338/729, 9404/2192
1. What is the HCF of 6338,9404?
The HCF of 6338,9404 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 6338/729, 9404/2192?
Answer: GCF of Numerators as per given numbers 6338/729, 9404/2192 is
GCF of Numerators i.e. for 6338,9404 is 2
LCM of denominators i.e. for 729,2192 is 1597968.
Thus, GCF of Fractions is 2/1597968.Finally, GCF of Fractions for 6338/729, 9404/2192 is 2/1597968.