GCF of 14/706, 68/882, 754/771
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 14/706, 68/882, 754/771 i.e 2/80015922 easily. The following is the detailed procedure to determine the greatest common factor of fractions 14/706, 68/882, 754/771.
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 14/706,68/882,754/771?
Given fractions are 14/706,68/882,754/771
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 14/706,68/882,754/771, numerators are 14,68,754
Denominators are 706,882,771
The GCF of 14,68,754 is 2 .
LCM of 706,882,771 is 80015922.
The greatest common factor of 14/706,68/882,754/771 = [GCF of 14,68,754]/[LCM of 706,882,771]= 2/80015922
Therefore, the GCF of 14/706,68/882,754/771 is 2/80015922.
To find the highest common factor of 14,68,754, we have to find the factors of both numbers and list the highest common factor.
The factors of 14 are 1, 2, 7, 14
The factors of 68 are 1, 2, 4, 17, 34, 68
The factors of 754 are 1, 2, 13, 26, 29, 58, 377, 754
The HCF of 14,68,754 is 2.
Lets's calculate GCF of 14,68,754
| 2 | 14, 68, 754 |
| 7, 34, 377 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 14,68,754 By Matching Biggest Common Factor Method
Now, list down the factors of 14
:1,2,7,14
Now, list down the factors of 68
:1,2,4,17,34,68
Now, list down the factors of 754
:1,2,13,26,29,58,377,754
Greatest Common Factor
We found the factors 14,68,754 . The biggest common factor number is the GCF number.
So the greatest common factor 14,68,754 is 2.
Lets's calculate LCM of 706,882,771
| 2 | 706, 882, 771 |
| 3 | 353, 441, 771 |
| 353, 147, 257 |
∴ So the LCM of the given numbers is 2 x 3 x 353 x 147 x 257 = 80015922
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/80015922
Therefore, the GCF of Fractions 14/706,68/882,754/771 is 2/80015922
Least Common Multiple of 706,882,771 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 706,882,771 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(706,882,771) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(706,882,771) x common factors =1 x 6 = 6
LCM(706,882,771) = ( 706 × 882 × 771 ) / 6
LCM(706,882,771) = 480095532 / 6
LCM(706,882,771) = 80015922
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 14/706, 68/882, 754/771
1. What is the HCF of 14,68,754?
The HCF of 14,68,754 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 14/706, 68/882, 754/771?
Answer: GCF of Numerators as per given numbers 14/706, 68/882, 754/771 is
GCF of Numerators i.e. for 14,68,754 is 2
LCM of denominators i.e. for 706,882,771 is 80015922.
Thus, GCF of Fractions is 2/80015922.Finally, GCF of Fractions for 14/706, 68/882, 754/771 is 2/80015922.