GCF of 2/68, 33/68, 82/192, 396/824
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2/68, 33/68, 82/192, 396/824 i.e 1/336192 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2/68, 33/68, 82/192, 396/824.
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 2/68,33/68,82/192,396/824?
Given fractions are 2/68,33/68,82/192,396/824
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 2/68,33/68,82/192,396/824, numerators are 2,33,82,396
Denominators are 68,68,192,824
The GCF of 2,33,82,396 is 1 .
LCM of 68,68,192,824 is 336192.
The greatest common factor of 2/68,33/68,82/192,396/824 = [GCF of 2,33,82,396]/[LCM of 68,68,192,824]= 1/336192
Therefore, the GCF of 2/68,33/68,82/192,396/824 is 1/336192.
To find the highest common factor of 2,33,82,396, we have to find the factors of both numbers and list the highest common factor.
The factors of 2 are 1, 2
The factors of 33 are 1, 3, 11, 33
The factors of 82 are 1, 2, 41, 82
The factors of 396 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
The HCF of 2,33,82,396 is 1.
Lets's calculate GCF of 2,33,82,396
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2,33,82,396 By Matching Biggest Common Factor Method
Now, list down the factors of 2
:1,2
Now, list down the factors of 33
:1,3,11,33
Now, list down the factors of 82
:1,2,41,82
Now, list down the factors of 396
:1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396
Greatest Common Factor
We found the factors 2,33,82,396 . The biggest common factor number is the GCF number.
So the greatest common factor 2,33,82,396 is 1.
Lets's calculate LCM of 68,68,192,824
| 2 | 68, 68, 192, 824 |
| 2 | 34, 34, 96, 412 |
| 2 | 17, 17, 48, 206 |
| 17 | 17, 17, 24, 103 |
| 1, 1, 24, 103 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 17 x 1 x 1 x 24 x 103 = 336192
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/336192
Therefore, the GCF of Fractions 2/68,33/68,82/192,396/824 is 1/336192
Least Common Multiple of 68,68,192,824 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 68,68,192,824 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,68,192,824) = 4
common factors(in case of two or more numbers have common factors) = 544
GCF(68,68,192,824) x common factors =4 x 544 = 2176
LCM(68,68,192,824) = ( 68 × 68 × 192 × 824 ) / 2176
LCM(68,68,192,824) = 731553792 / 2176
LCM(68,68,192,824) = 336192
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2/68, 33/68, 82/192, 396/824
1. What is the HCF of 2,33,82,396?
The HCF of 2,33,82,396 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 2/68, 33/68, 82/192, 396/824?
Answer: GCF of Numerators as per given numbers 2/68, 33/68, 82/192, 396/824 is
GCF of Numerators i.e. for 2,33,82,396 is 1
LCM of denominators i.e. for 68,68,192,824 is 336192.
Thus, GCF of Fractions is 1/336192.Finally, GCF of Fractions for 2/68, 33/68, 82/192, 396/824 is 1/336192.