GCF of 6905/331, 4108/3999
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6905/331, 4108/3999 i.e 1/1323669 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6905/331, 4108/3999.
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 6905/331,4108/3999?
Given fractions are 6905/331,4108/3999
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 6905/331,4108/3999, numerators are 6905,4108
Denominators are 331,3999
The GCF of 6905,4108 is 1 .
LCM of 331,3999 is 1323669.
The greatest common factor of 6905/331,4108/3999 = [GCF of 6905,4108]/[LCM of 331,3999]= 1/1323669
Therefore, the GCF of 6905/331,4108/3999 is 1/1323669.
To find the highest common factor of 6905,4108, we have to find the factors of both numbers and list the highest common factor.
The factors of 6905 are 1, 5, 1381, 6905
The factors of 4108 are 1, 2, 4, 13, 26, 52, 79, 158, 316, 1027, 2054, 4108
The HCF of 6905,4108 is 1.
Lets's calculate GCF of 6905,4108
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6905,4108 By Matching Biggest Common Factor Method
Now, list down the factors of 6905
:1,5,1381,6905
Now, list down the factors of 4108
:1,2,4,13,26,52,79,158,316,1027,2054,4108
Greatest Common Factor
We found the factors 6905,4108 . The biggest common factor number is the GCF number.
So the greatest common factor 6905,4108 is 1.
Lets's calculate LCM of 331,3999
Given numbers has no common factors except 1. So, there LCM is their product i.e 1323669
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1323669
Therefore, the GCF of Fractions 6905/331,4108/3999 is 1/1323669
Least Common Multiple of 331,3999 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 331,3999 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(331,3999) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(331,3999) x common factors =1 x 1 = 1
LCM(331,3999) = ( 331 × 3999 ) / 1
LCM(331,3999) = 1323669 / 1
LCM(331,3999) = 1323669
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6905/331, 4108/3999
1. What is the HCF of 6905,4108?
The HCF of 6905,4108 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 6905/331, 4108/3999?
Answer: GCF of Numerators as per given numbers 6905/331, 4108/3999 is
GCF of Numerators i.e. for 6905,4108 is 1
LCM of denominators i.e. for 331,3999 is 1323669.
Thus, GCF of Fractions is 1/1323669.Finally, GCF of Fractions for 6905/331, 4108/3999 is 1/1323669.