Use our free GCF of Fractions Calculator tool to compute the GCF of 6329/614, 4459/6273 i.e 1/3851622 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6329/614, 4459/6273.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6329/614,4459/6273
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 6329/614,4459/6273, numerators are 6329,4459
Denominators are 614,6273
The GCF of 6329,4459 is 1 .
LCM of 614,6273 is 3851622.
The greatest common factor of 6329/614,4459/6273 = [GCF of 6329,4459]/[LCM of 614,6273]= 1/3851622
Therefore, the GCF of 6329/614,4459/6273 is 1/3851622.
To find the highest common factor of 6329,4459, we have to find the factors of both numbers and list the highest common factor.
The factors of 6329 are 1, 6329
The factors of 4459 are 1, 7, 13, 49, 91, 343, 637, 4459
The HCF of 6329,4459 is 1.
Lets's calculate GCF of 6329,4459
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 6329
:1,6329
Now, list down the factors of 4459
:1,7,13,49,91,343,637,4459
Greatest Common Factor
We found the factors 6329,4459 . The biggest common factor number is the GCF number.
So the greatest common factor 6329,4459 is 1.
Lets's calculate LCM of 614,6273
Given numbers has no common factors except 1. So, there LCM is their product i.e 3851622
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3851622
Therefore, the GCF of Fractions 6329/614,4459/6273 is 1/3851622
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 614,6273 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(614,6273) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(614,6273) x common factors =1 x 1 = 1
LCM(614,6273) = ( 614 × 6273 ) / 1
LCM(614,6273) = 3851622 / 1
LCM(614,6273) = 3851622
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6329,4459?
The HCF of 6329,4459 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 6329/614, 4459/6273?
Answer: GCF of Numerators as per given numbers 6329/614, 4459/6273 is
GCF of Numerators i.e. for 6329,4459 is 1
LCM of denominators i.e. for 614,6273 is 3851622.
Thus, GCF of Fractions is 1/3851622.Finally, GCF of Fractions for 6329/614, 4459/6273 is 1/3851622.