GCF of 4453/605, 3436/5599
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4453/605, 3436/5599 i.e 1/307945 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4453/605, 3436/5599.
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 4453/605,3436/5599?
Given fractions are 4453/605,3436/5599
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 4453/605,3436/5599, numerators are 4453,3436
Denominators are 605,5599
The GCF of 4453,3436 is 1 .
LCM of 605,5599 is 307945.
The greatest common factor of 4453/605,3436/5599 = [GCF of 4453,3436]/[LCM of 605,5599]= 1/307945
Therefore, the GCF of 4453/605,3436/5599 is 1/307945.
To find the highest common factor of 4453,3436, we have to find the factors of both numbers and list the highest common factor.
The factors of 4453 are 1, 61, 73, 4453
The factors of 3436 are 1, 2, 4, 859, 1718, 3436
The HCF of 4453,3436 is 1.
Lets's calculate GCF of 4453,3436
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4453,3436 By Matching Biggest Common Factor Method
Now, list down the factors of 4453
:1,61,73,4453
Now, list down the factors of 3436
:1,2,4,859,1718,3436
Greatest Common Factor
We found the factors 4453,3436 . The biggest common factor number is the GCF number.
So the greatest common factor 4453,3436 is 1.
Lets's calculate LCM of 605,5599
| 11 | 605, 5599 |
| 55, 509 |
∴ So the LCM of the given numbers is 11 x 55 x 509 = 307945
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/307945
Therefore, the GCF of Fractions 4453/605,3436/5599 is 1/307945
Least Common Multiple of 605,5599 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 605,5599 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(605,5599) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(605,5599) x common factors =11 x 1 = 11
LCM(605,5599) = ( 605 × 5599 ) / 11
LCM(605,5599) = 3387395 / 11
LCM(605,5599) = 307945
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FAQs on GCF of Fractions of 4453/605, 3436/5599
1. What is the HCF of 4453,3436?
The HCF of 4453,3436 is 1
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 4453/605, 3436/5599?
Answer: GCF of Numerators as per given numbers 4453/605, 3436/5599 is
GCF of Numerators i.e. for 4453,3436 is 1
LCM of denominators i.e. for 605,5599 is 307945.
Thus, GCF of Fractions is 1/307945.Finally, GCF of Fractions for 4453/605, 3436/5599 is 1/307945.