GCF of 20/804, 232/835, 825/585
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 20/804, 232/835, 825/585 i.e 1/26182260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 20/804, 232/835, 825/585.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 20/804,232/835,825/585?
Given fractions are 20/804,232/835,825/585
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 20/804,232/835,825/585, numerators are 20,232,825
Denominators are 804,835,585
The GCF of 20,232,825 is 1 .
LCM of 804,835,585 is 26182260.
The greatest common factor of 20/804,232/835,825/585 = [GCF of 20,232,825]/[LCM of 804,835,585]= 1/26182260
Therefore, the GCF of 20/804,232/835,825/585 is 1/26182260.
To find the highest common factor of 20,232,825, we have to find the factors of both numbers and list the highest common factor.
The factors of 20 are 1, 2, 4, 5, 10, 20
The factors of 232 are 1, 2, 4, 8, 29, 58, 116, 232
The factors of 825 are 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
The HCF of 20,232,825 is 1.
Lets's calculate GCF of 20,232,825
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 20,232,825 By Matching Biggest Common Factor Method
Now, list down the factors of 20
:1,2,4,5,10,20
Now, list down the factors of 232
:1,2,4,8,29,58,116,232
Now, list down the factors of 825
:1,3,5,11,15,25,33,55,75,165,275,825
Greatest Common Factor
We found the factors 20,232,825 . The biggest common factor number is the GCF number.
So the greatest common factor 20,232,825 is 1.
Lets's calculate LCM of 804,835,585
| 3 | 804, 835, 585 |
| 5 | 268, 835, 195 |
| 268, 167, 39 |
∴ So the LCM of the given numbers is 3 x 5 x 268 x 167 x 39 = 26182260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26182260
Therefore, the GCF of Fractions 20/804,232/835,825/585 is 1/26182260
Least Common Multiple of 804,835,585 with GCF Formula
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 804,835,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(804,835,585) = 1
common factors(in case of two or more numbers have common factors) = 15
GCF(804,835,585) x common factors =1 x 15 = 15
LCM(804,835,585) = ( 804 × 835 × 585 ) / 15
LCM(804,835,585) = 392733900 / 15
LCM(804,835,585) = 26182260
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FAQs on GCF of Fractions of 20/804, 232/835, 825/585
1. What is the HCF of 20,232,825?
The HCF of 20,232,825 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 20/804, 232/835, 825/585?
Answer: GCF of Numerators as per given numbers 20/804, 232/835, 825/585 is
GCF of Numerators i.e. for 20,232,825 is 1
LCM of denominators i.e. for 804,835,585 is 26182260.
Thus, GCF of Fractions is 1/26182260.Finally, GCF of Fractions for 20/804, 232/835, 825/585 is 1/26182260.