GCF of 6446/133, 9638/6928
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6446/133, 9638/6928 i.e 2/921424 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6446/133, 9638/6928.
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 6446/133,9638/6928?
Given fractions are 6446/133,9638/6928
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 6446/133,9638/6928, numerators are 6446,9638
Denominators are 133,6928
The GCF of 6446,9638 is 2 .
LCM of 133,6928 is 921424.
The greatest common factor of 6446/133,9638/6928 = [GCF of 6446,9638]/[LCM of 133,6928]= 2/921424
Therefore, the GCF of 6446/133,9638/6928 is 2/921424.
To find the highest common factor of 6446,9638, we have to find the factors of both numbers and list the highest common factor.
The factors of 6446 are 1, 2, 11, 22, 293, 586, 3223, 6446
The factors of 9638 are 1, 2, 61, 79, 122, 158, 4819, 9638
The HCF of 6446,9638 is 2.
Lets's calculate GCF of 6446,9638
| 2 | 6446, 9638 |
| 3223, 4819 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6446,9638 By Matching Biggest Common Factor Method
Now, list down the factors of 6446
:1,2,11,22,293,586,3223,6446
Now, list down the factors of 9638
:1,2,61,79,122,158,4819,9638
Greatest Common Factor
We found the factors 6446,9638 . The biggest common factor number is the GCF number.
So the greatest common factor 6446,9638 is 2.
Lets's calculate LCM of 133,6928
Given numbers has no common factors except 1. So, there LCM is their product i.e 921424
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/921424
Therefore, the GCF of Fractions 6446/133,9638/6928 is 2/921424
Least Common Multiple of 133,6928 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 133,6928 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(133,6928) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(133,6928) x common factors =1 x 1 = 1
LCM(133,6928) = ( 133 × 6928 ) / 1
LCM(133,6928) = 921424 / 1
LCM(133,6928) = 921424
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FAQs on GCF of Fractions of 6446/133, 9638/6928
1. What is the HCF of 6446,9638?
The HCF of 6446,9638 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 6446/133, 9638/6928?
Answer: GCF of Numerators as per given numbers 6446/133, 9638/6928 is
GCF of Numerators i.e. for 6446,9638 is 2
LCM of denominators i.e. for 133,6928 is 921424.
Thus, GCF of Fractions is 2/921424.Finally, GCF of Fractions for 6446/133, 9638/6928 is 2/921424.