GCF of 4433/605, 6424/3464
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4433/605, 6424/3464 i.e 11/2095720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4433/605, 6424/3464.
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 4433/605,6424/3464?
Given fractions are 4433/605,6424/3464
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 4433/605,6424/3464, numerators are 4433,6424
Denominators are 605,3464
The GCF of 4433,6424 is 11 .
LCM of 605,3464 is 2095720.
The greatest common factor of 4433/605,6424/3464 = [GCF of 4433,6424]/[LCM of 605,3464]= 11/2095720
Therefore, the GCF of 4433/605,6424/3464 is 11/2095720.
To find the highest common factor of 4433,6424, we have to find the factors of both numbers and list the highest common factor.
The factors of 4433 are 1, 11, 13, 31, 143, 341, 403, 4433
The factors of 6424 are 1, 2, 4, 8, 11, 22, 44, 73, 88, 146, 292, 584, 803, 1606, 3212, 6424
The HCF of 4433,6424 is 11.
Lets's calculate GCF of 4433,6424
| 11 | 4433, 6424 |
| 403, 584 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 4433,6424 By Matching Biggest Common Factor Method
Now, list down the factors of 4433
:1,11,13,31,143,341,403,4433
Now, list down the factors of 6424
:1,2,4,8,11,22,44,73,88,146,292,584,803,1606,3212,6424
Greatest Common Factor
We found the factors 4433,6424 . The biggest common factor number is the GCF number.
So the greatest common factor 4433,6424 is 11.
Lets's calculate LCM of 605,3464
Given numbers has no common factors except 1. So, there LCM is their product i.e 2095720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/2095720
Therefore, the GCF of Fractions 4433/605,6424/3464 is 11/2095720
Least Common Multiple of 605,3464 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 605,3464 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(605,3464) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(605,3464) x common factors =1 x 1 = 1
LCM(605,3464) = ( 605 × 3464 ) / 1
LCM(605,3464) = 2095720 / 1
LCM(605,3464) = 2095720
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FAQs on GCF of Fractions of 4433/605, 6424/3464
1. What is the HCF of 4433,6424?
The HCF of 4433,6424 is 11
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 4433/605, 6424/3464?
Answer: GCF of Numerators as per given numbers 4433/605, 6424/3464 is
GCF of Numerators i.e. for 4433,6424 is 11
LCM of denominators i.e. for 605,3464 is 2095720.
Thus, GCF of Fractions is 11/2095720.Finally, GCF of Fractions for 4433/605, 6424/3464 is 11/2095720.