Use our free GCF of Fractions Calculator tool to compute the GCF of 810/171, 170/501 i.e 10/28557 easily. The following is the detailed procedure to determine the greatest common factor of fractions 810/171, 170/501.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 810/171,170/501
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 810/171,170/501, numerators are 810,170
Denominators are 171,501
The GCF of 810,170 is 10 .
LCM of 171,501 is 28557.
The greatest common factor of 810/171,170/501 = [GCF of 810,170]/[LCM of 171,501]= 10/28557
Therefore, the GCF of 810/171,170/501 is 10/28557.
To find the highest common factor of 810,170, 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 170 are 1, 2, 5, 10, 17, 34, 85, 170
The HCF of 810,170 is 10.
Lets's calculate GCF of 810,170
2 | 810, 170 |
5 | 405, 85 |
81, 17 |
∴ So the GCF of the given numbers is 2 x 5 = 10
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 170
:1,2,5,10,17,34,85,170
Greatest Common Factor
We found the factors 810,170 . The biggest common factor number is the GCF number.
So the greatest common factor 810,170 is 10.
Lets's calculate LCM of 171,501
3 | 171, 501 |
57, 167 |
∴ So the LCM of the given numbers is 3 x 57 x 167 = 28557
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/28557
Therefore, the GCF of Fractions 810/171,170/501 is 10/28557
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 171,501 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(171,501) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(171,501) x common factors =3 x 1 = 3
LCM(171,501) = ( 171 × 501 ) / 3
LCM(171,501) = 85671 / 3
LCM(171,501) = 28557
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 810,170?
The HCF of 810,170 is 10
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 810/171, 170/501?
Answer: GCF of Numerators as per given numbers 810/171, 170/501 is
GCF of Numerators i.e. for 810,170 is 10
LCM of denominators i.e. for 171,501 is 28557.
Thus, GCF of Fractions is 10/28557.Finally, GCF of Fractions for 810/171, 170/501 is 10/28557.