Use our free GCF of Fractions Calculator tool to compute the GCF of 6542/641, 4155/7045 i.e 1/4515845 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6542/641, 4155/7045.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6542/641,4155/7045
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 6542/641,4155/7045, numerators are 6542,4155
Denominators are 641,7045
The GCF of 6542,4155 is 1 .
LCM of 641,7045 is 4515845.
The greatest common factor of 6542/641,4155/7045 = [GCF of 6542,4155]/[LCM of 641,7045]= 1/4515845
Therefore, the GCF of 6542/641,4155/7045 is 1/4515845.
To find the highest common factor of 6542,4155, we have to find the factors of both numbers and list the highest common factor.
The factors of 6542 are 1, 2, 3271, 6542
The factors of 4155 are 1, 3, 5, 15, 277, 831, 1385, 4155
The HCF of 6542,4155 is 1.
Lets's calculate GCF of 6542,4155
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 6542
:1,2,3271,6542
Now, list down the factors of 4155
:1,3,5,15,277,831,1385,4155
Greatest Common Factor
We found the factors 6542,4155 . The biggest common factor number is the GCF number.
So the greatest common factor 6542,4155 is 1.
Lets's calculate LCM of 641,7045
Given numbers has no common factors except 1. So, there LCM is their product i.e 4515845
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4515845
Therefore, the GCF of Fractions 6542/641,4155/7045 is 1/4515845
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 641,7045 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(641,7045) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(641,7045) x common factors =1 x 1 = 1
LCM(641,7045) = ( 641 × 7045 ) / 1
LCM(641,7045) = 4515845 / 1
LCM(641,7045) = 4515845
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6542,4155?
The HCF of 6542,4155 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 6542/641, 4155/7045?
Answer: GCF of Numerators as per given numbers 6542/641, 4155/7045 is
GCF of Numerators i.e. for 6542,4155 is 1
LCM of denominators i.e. for 641,7045 is 4515845.
Thus, GCF of Fractions is 1/4515845.Finally, GCF of Fractions for 6542/641, 4155/7045 is 1/4515845.