GCF of 659/81, 693/18, 694/30
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 659/81, 693/18, 694/30 i.e 1/810 easily. The following is the detailed procedure to determine the greatest common factor of fractions 659/81, 693/18, 694/30.
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 659/81,693/18,694/30?
Given fractions are 659/81,693/18,694/30
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 659/81,693/18,694/30, numerators are 659,693,694
Denominators are 81,18,30
The GCF of 659,693,694 is 1 .
LCM of 81,18,30 is 810.
The greatest common factor of 659/81,693/18,694/30 = [GCF of 659,693,694]/[LCM of 81,18,30]= 1/810
Therefore, the GCF of 659/81,693/18,694/30 is 1/810.
To find the highest common factor of 659,693,694, we have to find the factors of both numbers and list the highest common factor.
The factors of 659 are 1, 659
The factors of 693 are 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
The factors of 694 are 1, 2, 347, 694
The HCF of 659,693,694 is 1.
Lets's calculate GCF of 659,693,694
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 659,693,694 By Matching Biggest Common Factor Method
Now, list down the factors of 659
:1,659
Now, list down the factors of 693
:1,3,7,9,11,21,33,63,77,99,231,693
Now, list down the factors of 694
:1,2,347,694
Greatest Common Factor
We found the factors 659,693,694 . The biggest common factor number is the GCF number.
So the greatest common factor 659,693,694 is 1.
Lets's calculate LCM of 81,18,30
| 2 | 81, 18, 30 |
| 3 | 81, 9, 15 |
| 3 | 27, 3, 5 |
| 9, 1, 5 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 9 x 1 x 5 = 810
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/810
Therefore, the GCF of Fractions 659/81,693/18,694/30 is 1/810
Least Common Multiple of 81,18,30 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 81,18,30 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,18,30) = 3
common factors(in case of two or more numbers have common factors) = 18
GCF(81,18,30) x common factors =3 x 18 = 54
LCM(81,18,30) = ( 81 × 18 × 30 ) / 54
LCM(81,18,30) = 43740 / 54
LCM(81,18,30) = 810
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FAQs on GCF of Fractions of 659/81, 693/18, 694/30
1. What is the HCF of 659,693,694?
The HCF of 659,693,694 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 659/81, 693/18, 694/30?
Answer: GCF of Numerators as per given numbers 659/81, 693/18, 694/30 is
GCF of Numerators i.e. for 659,693,694 is 1
LCM of denominators i.e. for 81,18,30 is 810.
Thus, GCF of Fractions is 1/810.Finally, GCF of Fractions for 659/81, 693/18, 694/30 is 1/810.