GCF of 6469/406, 3439/1401
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6469/406, 3439/1401 i.e 1/568806 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6469/406, 3439/1401.
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 6469/406,3439/1401?
Given fractions are 6469/406,3439/1401
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 6469/406,3439/1401, numerators are 6469,3439
Denominators are 406,1401
The GCF of 6469,3439 is 1 .
LCM of 406,1401 is 568806.
The greatest common factor of 6469/406,3439/1401 = [GCF of 6469,3439]/[LCM of 406,1401]= 1/568806
Therefore, the GCF of 6469/406,3439/1401 is 1/568806.
To find the highest common factor of 6469,3439, we have to find the factors of both numbers and list the highest common factor.
The factors of 6469 are 1, 6469
The factors of 3439 are 1, 19, 181, 3439
The HCF of 6469,3439 is 1.
Lets's calculate GCF of 6469,3439
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6469,3439 By Matching Biggest Common Factor Method
Now, list down the factors of 6469
:1,6469
Now, list down the factors of 3439
:1,19,181,3439
Greatest Common Factor
We found the factors 6469,3439 . The biggest common factor number is the GCF number.
So the greatest common factor 6469,3439 is 1.
Lets's calculate LCM of 406,1401
Given numbers has no common factors except 1. So, there LCM is their product i.e 568806
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/568806
Therefore, the GCF of Fractions 6469/406,3439/1401 is 1/568806
Least Common Multiple of 406,1401 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 406,1401 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(406,1401) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(406,1401) x common factors =1 x 1 = 1
LCM(406,1401) = ( 406 × 1401 ) / 1
LCM(406,1401) = 568806 / 1
LCM(406,1401) = 568806
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6469/406, 3439/1401
1. What is the HCF of 6469,3439?
The HCF of 6469,3439 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 6469/406, 3439/1401?
Answer: GCF of Numerators as per given numbers 6469/406, 3439/1401 is
GCF of Numerators i.e. for 6469,3439 is 1
LCM of denominators i.e. for 406,1401 is 568806.
Thus, GCF of Fractions is 1/568806.Finally, GCF of Fractions for 6469/406, 3439/1401 is 1/568806.