GCF of 2/14, 22/27, 14/417, 822/612
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2/14, 22/27, 14/417, 822/612 i.e 2/1786428 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2/14, 22/27, 14/417, 822/612.
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 2/14,22/27,14/417,822/612?
Given fractions are 2/14,22/27,14/417,822/612
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 2/14,22/27,14/417,822/612, numerators are 2,22,14,822
Denominators are 14,27,417,612
The GCF of 2,22,14,822 is 2 .
LCM of 14,27,417,612 is 1786428.
The greatest common factor of 2/14,22/27,14/417,822/612 = [GCF of 2,22,14,822]/[LCM of 14,27,417,612]= 2/1786428
Therefore, the GCF of 2/14,22/27,14/417,822/612 is 2/1786428.
To find the highest common factor of 2,22,14,822, 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 22 are 1, 2, 11, 22
The factors of 14 are 1, 2, 7, 14
The factors of 822 are 1, 2, 3, 6, 137, 274, 411, 822
The HCF of 2,22,14,822 is 2.
Lets's calculate GCF of 2,22,14,822
| 2 | 2, 22, 14, 822 |
| 1, 11, 7, 411 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2,22,14,822 By Matching Biggest Common Factor Method
Now, list down the factors of 2
:1,2
Now, list down the factors of 22
:1,2,11,22
Now, list down the factors of 14
:1,2,7,14
Now, list down the factors of 822
:1,2,3,6,137,274,411,822
Greatest Common Factor
We found the factors 2,22,14,822 . The biggest common factor number is the GCF number.
So the greatest common factor 2,22,14,822 is 2.
Lets's calculate LCM of 14,27,417,612
| 2 | 14, 27, 417, 612 |
| 3 | 7, 27, 417, 306 |
| 3 | 7, 9, 139, 102 |
| 7, 3, 139, 34 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 7 x 3 x 139 x 34 = 1786428
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1786428
Therefore, the GCF of Fractions 2/14,22/27,14/417,822/612 is 2/1786428
Least Common Multiple of 14,27,417,612 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 14,27,417,612 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,27,417,612) = 1
common factors(in case of two or more numbers have common factors) = 54
GCF(14,27,417,612) x common factors =1 x 54 = 54
LCM(14,27,417,612) = ( 14 × 27 × 417 × 612 ) / 54
LCM(14,27,417,612) = 96467112 / 54
LCM(14,27,417,612) = 1786428
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2/14, 22/27, 14/417, 822/612
1. What is the HCF of 2,22,14,822?
The HCF of 2,22,14,822 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 2/14, 22/27, 14/417, 822/612?
Answer: GCF of Numerators as per given numbers 2/14, 22/27, 14/417, 822/612 is
GCF of Numerators i.e. for 2,22,14,822 is 2
LCM of denominators i.e. for 14,27,417,612 is 1786428.
Thus, GCF of Fractions is 2/1786428.Finally, GCF of Fractions for 2/14, 22/27, 14/417, 822/612 is 2/1786428.