GCF of 891/804, 1620/654
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 891/804, 1620/654 i.e 81/87636 easily. The following is the detailed procedure to determine the greatest common factor of fractions 891/804, 1620/654.
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 891/804,1620/654?
Given fractions are 891/804,1620/654
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 891/804,1620/654, numerators are 891,1620
Denominators are 804,654
The GCF of 891,1620 is 81 .
LCM of 804,654 is 87636.
The greatest common factor of 891/804,1620/654 = [GCF of 891,1620]/[LCM of 804,654]= 81/87636
Therefore, the GCF of 891/804,1620/654 is 81/87636.
To find the highest common factor of 891,1620, we have to find the factors of both numbers and list the highest common factor.
The factors of 891 are 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
The factors of 1620 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 81, 90, 108, 135, 162, 180, 270, 324, 405, 540, 810, 1620
The HCF of 891,1620 is 81.
Lets's calculate GCF of 891,1620
| 3 | 891, 1620 |
| 3 | 297, 540 |
| 3 | 99, 180 |
| 3 | 33, 60 |
| 11, 20 |
∴ So the GCF of the given numbers is 3 x 3 x 3 x 3 = 81
Greatest Common Factor of 891,1620 By Matching Biggest Common Factor Method
Now, list down the factors of 891
:1,3,9,11,27,33,81,99,297,891
Now, list down the factors of 1620
:1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,81,90,108,135,162,180,270,324,405,540,810,1620
Greatest Common Factor
We found the factors 891,1620 . The biggest common factor number is the GCF number.
So the greatest common factor 891,1620 is 81.
Lets's calculate LCM of 804,654
| 2 | 804, 654 |
| 3 | 402, 327 |
| 134, 109 |
∴ So the LCM of the given numbers is 2 x 3 x 134 x 109 = 87636
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 81/87636
Therefore, the GCF of Fractions 891/804,1620/654 is 81/87636
Least Common Multiple of 804,654 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 804,654 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(804,654) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(804,654) x common factors =6 x 1 = 6
LCM(804,654) = ( 804 × 654 ) / 6
LCM(804,654) = 525816 / 6
LCM(804,654) = 87636
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FAQs on GCF of Fractions of 891/804, 1620/654
1. What is the HCF of 891,1620?
The HCF of 891,1620 is 81
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 891/804, 1620/654?
Answer: GCF of Numerators as per given numbers 891/804, 1620/654 is
GCF of Numerators i.e. for 891,1620 is 81
LCM of denominators i.e. for 804,654 is 87636.
Thus, GCF of Fractions is 81/87636.Finally, GCF of Fractions for 891/804, 1620/654 is 81/87636.