Use our free GCF of Fractions Calculator tool to compute the GCF of 486/452, 127/802 i.e 1/181252 easily. The following is the detailed procedure to determine the greatest common factor of fractions 486/452, 127/802.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 486/452,127/802
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 486/452,127/802, numerators are 486,127
Denominators are 452,802
The GCF of 486,127 is 1 .
LCM of 452,802 is 181252.
The greatest common factor of 486/452,127/802 = [GCF of 486,127]/[LCM of 452,802]= 1/181252
Therefore, the GCF of 486/452,127/802 is 1/181252.
To find the highest common factor of 486,127, we have to find the factors of both numbers and list the highest common factor.
The factors of 486 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
The factors of 127 are 1, 127
The HCF of 486,127 is 1.
Lets's calculate GCF of 486,127
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 486
:1,2,3,6,9,18,27,54,81,162,243,486
Now, list down the factors of 127
:1,127
Greatest Common Factor
We found the factors 486,127 . The biggest common factor number is the GCF number.
So the greatest common factor 486,127 is 1.
Lets's calculate LCM of 452,802
2 | 452, 802 |
226, 401 |
∴ So the LCM of the given numbers is 2 x 226 x 401 = 181252
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/181252
Therefore, the GCF of Fractions 486/452,127/802 is 1/181252
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 452,802 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(452,802) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(452,802) x common factors =2 x 1 = 2
LCM(452,802) = ( 452 × 802 ) / 2
LCM(452,802) = 362504 / 2
LCM(452,802) = 181252
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 486,127?
The HCF of 486,127 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 486/452, 127/802?
Answer: GCF of Numerators as per given numbers 486/452, 127/802 is
GCF of Numerators i.e. for 486,127 is 1
LCM of denominators i.e. for 452,802 is 181252.
Thus, GCF of Fractions is 1/181252.Finally, GCF of Fractions for 486/452, 127/802 is 1/181252.