Use our free GCF of Fractions Calculator tool to compute the GCF of 6462/368, 3731/3332 i.e 1/306544 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6462/368, 3731/3332.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6462/368,3731/3332
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 6462/368,3731/3332, numerators are 6462,3731
Denominators are 368,3332
The GCF of 6462,3731 is 1 .
LCM of 368,3332 is 306544.
The greatest common factor of 6462/368,3731/3332 = [GCF of 6462,3731]/[LCM of 368,3332]= 1/306544
Therefore, the GCF of 6462/368,3731/3332 is 1/306544.
To find the highest common factor of 6462,3731, we have to find the factors of both numbers and list the highest common factor.
The factors of 6462 are 1, 2, 3, 6, 9, 18, 359, 718, 1077, 2154, 3231, 6462
The factors of 3731 are 1, 7, 13, 41, 91, 287, 533, 3731
The HCF of 6462,3731 is 1.
Lets's calculate GCF of 6462,3731
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 6462
:1,2,3,6,9,18,359,718,1077,2154,3231,6462
Now, list down the factors of 3731
:1,7,13,41,91,287,533,3731
Greatest Common Factor
We found the factors 6462,3731 . The biggest common factor number is the GCF number.
So the greatest common factor 6462,3731 is 1.
Lets's calculate LCM of 368,3332
2 | 368, 3332 |
2 | 184, 1666 |
92, 833 |
∴ So the LCM of the given numbers is 2 x 2 x 92 x 833 = 306544
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/306544
Therefore, the GCF of Fractions 6462/368,3731/3332 is 1/306544
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 368,3332 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(368,3332) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(368,3332) x common factors =4 x 1 = 4
LCM(368,3332) = ( 368 × 3332 ) / 4
LCM(368,3332) = 1226176 / 4
LCM(368,3332) = 306544
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6462,3731?
The HCF of 6462,3731 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 6462/368, 3731/3332?
Answer: GCF of Numerators as per given numbers 6462/368, 3731/3332 is
GCF of Numerators i.e. for 6462,3731 is 1
LCM of denominators i.e. for 368,3332 is 306544.
Thus, GCF of Fractions is 1/306544.Finally, GCF of Fractions for 6462/368, 3731/3332 is 1/306544.