GCF of 3904/649, 6439/401
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3904/649, 6439/401 i.e 1/260249 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3904/649, 6439/401.
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 3904/649,6439/401?
Given fractions are 3904/649,6439/401
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 3904/649,6439/401, numerators are 3904,6439
Denominators are 649,401
The GCF of 3904,6439 is 1 .
LCM of 649,401 is 260249.
The greatest common factor of 3904/649,6439/401 = [GCF of 3904,6439]/[LCM of 649,401]= 1/260249
Therefore, the GCF of 3904/649,6439/401 is 1/260249.
To find the highest common factor of 3904,6439, we have to find the factors of both numbers and list the highest common factor.
The factors of 3904 are 1, 2, 4, 8, 16, 32, 61, 64, 122, 244, 488, 976, 1952, 3904
The factors of 6439 are 1, 47, 137, 6439
The HCF of 3904,6439 is 1.
Lets's calculate GCF of 3904,6439
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3904,6439 By Matching Biggest Common Factor Method
Now, list down the factors of 3904
:1,2,4,8,16,32,61,64,122,244,488,976,1952,3904
Now, list down the factors of 6439
:1,47,137,6439
Greatest Common Factor
We found the factors 3904,6439 . The biggest common factor number is the GCF number.
So the greatest common factor 3904,6439 is 1.
Lets's calculate LCM of 649,401
Given numbers has no common factors except 1. So, there LCM is their product i.e 260249
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/260249
Therefore, the GCF of Fractions 3904/649,6439/401 is 1/260249
Least Common Multiple of 649,401 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 649,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(649,401) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(649,401) x common factors =1 x 1 = 1
LCM(649,401) = ( 649 × 401 ) / 1
LCM(649,401) = 260249 / 1
LCM(649,401) = 260249
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FAQs on GCF of Fractions of 3904/649, 6439/401
1. What is the HCF of 3904,6439?
The HCF of 3904,6439 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 3904/649, 6439/401?
Answer: GCF of Numerators as per given numbers 3904/649, 6439/401 is
GCF of Numerators i.e. for 3904,6439 is 1
LCM of denominators i.e. for 649,401 is 260249.
Thus, GCF of Fractions is 1/260249.Finally, GCF of Fractions for 3904/649, 6439/401 is 1/260249.