Use our free GCF of Fractions Calculator tool to compute the GCF of 810/742, 484/752 i.e 2/278992 easily. The following is the detailed procedure to determine the greatest common factor of fractions 810/742, 484/752.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 810/742,484/752
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 810/742,484/752, numerators are 810,484
Denominators are 742,752
The GCF of 810,484 is 2 .
LCM of 742,752 is 278992.
The greatest common factor of 810/742,484/752 = [GCF of 810,484]/[LCM of 742,752]= 2/278992
Therefore, the GCF of 810/742,484/752 is 2/278992.
To find the highest common factor of 810,484, we have to find the factors of both numbers and list the highest common factor.
The factors of 810 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
The factors of 484 are 1, 2, 4, 11, 22, 44, 121, 242, 484
The HCF of 810,484 is 2.
Lets's calculate GCF of 810,484
2 | 810, 484 |
405, 242 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 810
:1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810
Now, list down the factors of 484
:1,2,4,11,22,44,121,242,484
Greatest Common Factor
We found the factors 810,484 . The biggest common factor number is the GCF number.
So the greatest common factor 810,484 is 2.
Lets's calculate LCM of 742,752
2 | 742, 752 |
371, 376 |
∴ So the LCM of the given numbers is 2 x 371 x 376 = 278992
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/278992
Therefore, the GCF of Fractions 810/742,484/752 is 2/278992
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 742,752 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(742,752) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(742,752) x common factors =2 x 1 = 2
LCM(742,752) = ( 742 × 752 ) / 2
LCM(742,752) = 557984 / 2
LCM(742,752) = 278992
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 810,484?
The HCF of 810,484 is 2
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 810/742, 484/752?
Answer: GCF of Numerators as per given numbers 810/742, 484/752 is
GCF of Numerators i.e. for 810,484 is 2
LCM of denominators i.e. for 742,752 is 278992.
Thus, GCF of Fractions is 2/278992.Finally, GCF of Fractions for 810/742, 484/752 is 2/278992.