Use our free GCF of Fractions Calculator tool to compute the GCF of 457/838, 6232/9144 i.e 1/3831336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 457/838, 6232/9144.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 457/838,6232/9144
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 457/838,6232/9144, numerators are 457,6232
Denominators are 838,9144
The GCF of 457,6232 is 1 .
LCM of 838,9144 is 3831336.
The greatest common factor of 457/838,6232/9144 = [GCF of 457,6232]/[LCM of 838,9144]= 1/3831336
Therefore, the GCF of 457/838,6232/9144 is 1/3831336.
To find the highest common factor of 457,6232, we have to find the factors of both numbers and list the highest common factor.
The factors of 457 are 1, 457
The factors of 6232 are 1, 2, 4, 8, 19, 38, 41, 76, 82, 152, 164, 328, 779, 1558, 3116, 6232
The HCF of 457,6232 is 1.
Lets's calculate GCF of 457,6232
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 457
:1,457
Now, list down the factors of 6232
:1,2,4,8,19,38,41,76,82,152,164,328,779,1558,3116,6232
Greatest Common Factor
We found the factors 457,6232 . The biggest common factor number is the GCF number.
So the greatest common factor 457,6232 is 1.
Lets's calculate LCM of 838,9144
2 | 838, 9144 |
419, 4572 |
∴ So the LCM of the given numbers is 2 x 419 x 4572 = 3831336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3831336
Therefore, the GCF of Fractions 457/838,6232/9144 is 1/3831336
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 838,9144 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(838,9144) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(838,9144) x common factors =2 x 1 = 2
LCM(838,9144) = ( 838 × 9144 ) / 2
LCM(838,9144) = 7662672 / 2
LCM(838,9144) = 3831336
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 457,6232?
The HCF of 457,6232 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 457/838, 6232/9144?
Answer: GCF of Numerators as per given numbers 457/838, 6232/9144 is
GCF of Numerators i.e. for 457,6232 is 1
LCM of denominators i.e. for 838,9144 is 3831336.
Thus, GCF of Fractions is 1/3831336.Finally, GCF of Fractions for 457/838, 6232/9144 is 1/3831336.