Use our free GCF of Fractions Calculator tool to compute the GCF of 810/715, 936/891 i.e 18/57915 easily. The following is the detailed procedure to determine the greatest common factor of fractions 810/715, 936/891.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 810/715,936/891
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 810/715,936/891, numerators are 810,936
Denominators are 715,891
The GCF of 810,936 is 18 .
LCM of 715,891 is 57915.
The greatest common factor of 810/715,936/891 = [GCF of 810,936]/[LCM of 715,891]= 18/57915
Therefore, the GCF of 810/715,936/891 is 18/57915.
To find the highest common factor of 810,936, 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 936 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
The HCF of 810,936 is 18.
Lets's calculate GCF of 810,936
2 | 810, 936 |
3 | 405, 468 |
3 | 135, 156 |
45, 52 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
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 936
:1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936
Greatest Common Factor
We found the factors 810,936 . The biggest common factor number is the GCF number.
So the greatest common factor 810,936 is 18.
Lets's calculate LCM of 715,891
11 | 715, 891 |
65, 81 |
∴ So the LCM of the given numbers is 11 x 65 x 81 = 57915
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/57915
Therefore, the GCF of Fractions 810/715,936/891 is 18/57915
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 715,891 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(715,891) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(715,891) x common factors =11 x 1 = 11
LCM(715,891) = ( 715 × 891 ) / 11
LCM(715,891) = 637065 / 11
LCM(715,891) = 57915
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 810,936?
The HCF of 810,936 is 18
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 810/715, 936/891?
Answer: GCF of Numerators as per given numbers 810/715, 936/891 is
GCF of Numerators i.e. for 810,936 is 18
LCM of denominators i.e. for 715,891 is 57915.
Thus, GCF of Fractions is 18/57915.Finally, GCF of Fractions for 810/715, 936/891 is 18/57915.