GCF of 3446/663, 5729/6449
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3446/663, 5729/6449 i.e 1/4275687 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3446/663, 5729/6449.
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 3446/663,5729/6449?
Given fractions are 3446/663,5729/6449
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 3446/663,5729/6449, numerators are 3446,5729
Denominators are 663,6449
The GCF of 3446,5729 is 1 .
LCM of 663,6449 is 4275687.
The greatest common factor of 3446/663,5729/6449 = [GCF of 3446,5729]/[LCM of 663,6449]= 1/4275687
Therefore, the GCF of 3446/663,5729/6449 is 1/4275687.
To find the highest common factor of 3446,5729, we have to find the factors of both numbers and list the highest common factor.
The factors of 3446 are 1, 2, 1723, 3446
The factors of 5729 are 1, 17, 337, 5729
The HCF of 3446,5729 is 1.
Lets's calculate GCF of 3446,5729
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3446,5729 By Matching Biggest Common Factor Method
Now, list down the factors of 3446
:1,2,1723,3446
Now, list down the factors of 5729
:1,17,337,5729
Greatest Common Factor
We found the factors 3446,5729 . The biggest common factor number is the GCF number.
So the greatest common factor 3446,5729 is 1.
Lets's calculate LCM of 663,6449
Given numbers has no common factors except 1. So, there LCM is their product i.e 4275687
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4275687
Therefore, the GCF of Fractions 3446/663,5729/6449 is 1/4275687
Least Common Multiple of 663,6449 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 663,6449 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(663,6449) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(663,6449) x common factors =1 x 1 = 1
LCM(663,6449) = ( 663 × 6449 ) / 1
LCM(663,6449) = 4275687 / 1
LCM(663,6449) = 4275687
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FAQs on GCF of Fractions of 3446/663, 5729/6449
1. What is the HCF of 3446,5729?
The HCF of 3446,5729 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 3446/663, 5729/6449?
Answer: GCF of Numerators as per given numbers 3446/663, 5729/6449 is
GCF of Numerators i.e. for 3446,5729 is 1
LCM of denominators i.e. for 663,6449 is 4275687.
Thus, GCF of Fractions is 1/4275687.Finally, GCF of Fractions for 3446/663, 5729/6449 is 1/4275687.