GCF of 81/873, 19/423, 903/839
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 81/873, 19/423, 903/839 i.e 1/34425009 easily. The following is the detailed procedure to determine the greatest common factor of fractions 81/873, 19/423, 903/839.
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 81/873,19/423,903/839?
Given fractions are 81/873,19/423,903/839
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 81/873,19/423,903/839, numerators are 81,19,903
Denominators are 873,423,839
The GCF of 81,19,903 is 1 .
LCM of 873,423,839 is 34425009.
The greatest common factor of 81/873,19/423,903/839 = [GCF of 81,19,903]/[LCM of 873,423,839]= 1/34425009
Therefore, the GCF of 81/873,19/423,903/839 is 1/34425009.
To find the highest common factor of 81,19,903, 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 19 are 1, 19
The factors of 903 are 1, 3, 7, 21, 43, 129, 301, 903
The HCF of 81,19,903 is 1.
Lets's calculate GCF of 81,19,903
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 81,19,903 By Matching Biggest Common Factor Method
Now, list down the factors of 81
:1,3,9,27,81
Now, list down the factors of 19
:1,19
Now, list down the factors of 903
:1,3,7,21,43,129,301,903
Greatest Common Factor
We found the factors 81,19,903 . The biggest common factor number is the GCF number.
So the greatest common factor 81,19,903 is 1.
Lets's calculate LCM of 873,423,839
| 3 | 873, 423, 839 |
| 3 | 291, 141, 839 |
| 97, 47, 839 |
∴ So the LCM of the given numbers is 3 x 3 x 97 x 47 x 839 = 34425009
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34425009
Therefore, the GCF of Fractions 81/873,19/423,903/839 is 1/34425009
Least Common Multiple of 873,423,839 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 873,423,839 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(873,423,839) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(873,423,839) x common factors =1 x 9 = 9
LCM(873,423,839) = ( 873 × 423 × 839 ) / 9
LCM(873,423,839) = 309825081 / 9
LCM(873,423,839) = 34425009
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FAQs on GCF of Fractions of 81/873, 19/423, 903/839
1. What is the HCF of 81,19,903?
The HCF of 81,19,903 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 81/873, 19/423, 903/839?
Answer: GCF of Numerators as per given numbers 81/873, 19/423, 903/839 is
GCF of Numerators i.e. for 81,19,903 is 1
LCM of denominators i.e. for 873,423,839 is 34425009.
Thus, GCF of Fractions is 1/34425009.Finally, GCF of Fractions for 81/873, 19/423, 903/839 is 1/34425009.