GCF of 81/55, 87/11, 897/419
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 81/55, 87/11, 897/419 i.e 3/23045 easily. The following is the detailed procedure to determine the greatest common factor of fractions 81/55, 87/11, 897/419.
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 81/55,87/11,897/419?
Given fractions are 81/55,87/11,897/419
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 81/55,87/11,897/419, numerators are 81,87,897
Denominators are 55,11,419
The GCF of 81,87,897 is 3 .
LCM of 55,11,419 is 23045.
The greatest common factor of 81/55,87/11,897/419 = [GCF of 81,87,897]/[LCM of 55,11,419]= 3/23045
Therefore, the GCF of 81/55,87/11,897/419 is 3/23045.
To find the highest common factor of 81,87,897, we have to find the factors of both numbers and list the highest common factor.
The factors of 81 are 1, 3, 9, 27, 81
The factors of 87 are 1, 3, 29, 87
The factors of 897 are 1, 3, 13, 23, 39, 69, 299, 897
The HCF of 81,87,897 is 3.
Lets's calculate GCF of 81,87,897
| 3 | 81, 87, 897 |
| 27, 29, 299 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 81,87,897 By Matching Biggest Common Factor Method
Now, list down the factors of 81
:1,3,9,27,81
Now, list down the factors of 87
:1,3,29,87
Now, list down the factors of 897
:1,3,13,23,39,69,299,897
Greatest Common Factor
We found the factors 81,87,897 . The biggest common factor number is the GCF number.
So the greatest common factor 81,87,897 is 3.
Lets's calculate LCM of 55,11,419
| 11 | 55, 11, 419 |
| 5, 1, 419 |
∴ So the LCM of the given numbers is 11 x 5 x 1 x 419 = 23045
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/23045
Therefore, the GCF of Fractions 81/55,87/11,897/419 is 3/23045
Least Common Multiple of 55,11,419 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 55,11,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,11,419) = 1
common factors(in case of two or more numbers have common factors) = 11
GCF(55,11,419) x common factors =1 x 11 = 11
LCM(55,11,419) = ( 55 × 11 × 419 ) / 11
LCM(55,11,419) = 253495 / 11
LCM(55,11,419) = 23045
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FAQs on GCF of Fractions of 81/55, 87/11, 897/419
1. What is the HCF of 81,87,897?
The HCF of 81,87,897 is 3
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 81/55, 87/11, 897/419?
Answer: GCF of Numerators as per given numbers 81/55, 87/11, 897/419 is
GCF of Numerators i.e. for 81,87,897 is 3
LCM of denominators i.e. for 55,11,419 is 23045.
Thus, GCF of Fractions is 3/23045.Finally, GCF of Fractions for 81/55, 87/11, 897/419 is 3/23045.