Use our free GCF of Fractions Calculator tool to compute the GCF of 810/17, 452/980 i.e 2/16660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 810/17, 452/980.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 810/17,452/980
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 810/17,452/980, numerators are 810,452
Denominators are 17,980
The GCF of 810,452 is 2 .
LCM of 17,980 is 16660.
The greatest common factor of 810/17,452/980 = [GCF of 810,452]/[LCM of 17,980]= 2/16660
Therefore, the GCF of 810/17,452/980 is 2/16660.
To find the highest common factor of 810,452, 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 452 are 1, 2, 4, 113, 226, 452
The HCF of 810,452 is 2.
Lets's calculate GCF of 810,452
2 | 810, 452 |
405, 226 |
∴ 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 452
:1,2,4,113,226,452
Greatest Common Factor
We found the factors 810,452 . The biggest common factor number is the GCF number.
So the greatest common factor 810,452 is 2.
Lets's calculate LCM of 17,980
Given numbers has no common factors except 1. So, there LCM is their product i.e 16660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/16660
Therefore, the GCF of Fractions 810/17,452/980 is 2/16660
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 17,980 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,980) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(17,980) x common factors =1 x 1 = 1
LCM(17,980) = ( 17 × 980 ) / 1
LCM(17,980) = 16660 / 1
LCM(17,980) = 16660
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 810,452?
The HCF of 810,452 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 810/17, 452/980?
Answer: GCF of Numerators as per given numbers 810/17, 452/980 is
GCF of Numerators i.e. for 810,452 is 2
LCM of denominators i.e. for 17,980 is 16660.
Thus, GCF of Fractions is 2/16660.Finally, GCF of Fractions for 810/17, 452/980 is 2/16660.