GCF of 666/24, 638/67, 690/34
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 666/24, 638/67, 690/34 i.e 2/27336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 666/24, 638/67, 690/34.
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 666/24,638/67,690/34?
Given fractions are 666/24,638/67,690/34
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 666/24,638/67,690/34, numerators are 666,638,690
Denominators are 24,67,34
The GCF of 666,638,690 is 2 .
LCM of 24,67,34 is 27336.
The greatest common factor of 666/24,638/67,690/34 = [GCF of 666,638,690]/[LCM of 24,67,34]= 2/27336
Therefore, the GCF of 666/24,638/67,690/34 is 2/27336.
To find the highest common factor of 666,638,690, we have to find the factors of both numbers and list the highest common factor.
The factors of 666 are 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
The factors of 638 are 1, 2, 11, 22, 29, 58, 319, 638
The factors of 690 are 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
The HCF of 666,638,690 is 2.
Lets's calculate GCF of 666,638,690
| 2 | 666, 638, 690 |
| 333, 319, 345 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 666,638,690 By Matching Biggest Common Factor Method
Now, list down the factors of 666
:1,2,3,6,9,18,37,74,111,222,333,666
Now, list down the factors of 638
:1,2,11,22,29,58,319,638
Now, list down the factors of 690
:1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690
Greatest Common Factor
We found the factors 666,638,690 . The biggest common factor number is the GCF number.
So the greatest common factor 666,638,690 is 2.
Lets's calculate LCM of 24,67,34
| 2 | 24, 67, 34 |
| 12, 67, 17 |
∴ So the LCM of the given numbers is 2 x 12 x 67 x 17 = 27336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/27336
Therefore, the GCF of Fractions 666/24,638/67,690/34 is 2/27336
Least Common Multiple of 24,67,34 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 24,67,34 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,67,34) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(24,67,34) x common factors =1 x 2 = 2
LCM(24,67,34) = ( 24 × 67 × 34 ) / 2
LCM(24,67,34) = 54672 / 2
LCM(24,67,34) = 27336
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 666/24, 638/67, 690/34
1. What is the HCF of 666,638,690?
The HCF of 666,638,690 is 2
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 666/24, 638/67, 690/34?
Answer: GCF of Numerators as per given numbers 666/24, 638/67, 690/34 is
GCF of Numerators i.e. for 666,638,690 is 2
LCM of denominators i.e. for 24,67,34 is 27336.
Thus, GCF of Fractions is 2/27336.Finally, GCF of Fractions for 666/24, 638/67, 690/34 is 2/27336.