GCF of 1383/394, 6812/706
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1383/394, 6812/706 i.e 1/139082 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1383/394, 6812/706.
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 1383/394,6812/706?
Given fractions are 1383/394,6812/706
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 1383/394,6812/706, numerators are 1383,6812
Denominators are 394,706
The GCF of 1383,6812 is 1 .
LCM of 394,706 is 139082.
The greatest common factor of 1383/394,6812/706 = [GCF of 1383,6812]/[LCM of 394,706]= 1/139082
Therefore, the GCF of 1383/394,6812/706 is 1/139082.
To find the highest common factor of 1383,6812, we have to find the factors of both numbers and list the highest common factor.
The factors of 1383 are 1, 3, 461, 1383
The factors of 6812 are 1, 2, 4, 13, 26, 52, 131, 262, 524, 1703, 3406, 6812
The HCF of 1383,6812 is 1.
Lets's calculate GCF of 1383,6812
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1383,6812 By Matching Biggest Common Factor Method
Now, list down the factors of 1383
:1,3,461,1383
Now, list down the factors of 6812
:1,2,4,13,26,52,131,262,524,1703,3406,6812
Greatest Common Factor
We found the factors 1383,6812 . The biggest common factor number is the GCF number.
So the greatest common factor 1383,6812 is 1.
Lets's calculate LCM of 394,706
| 2 | 394, 706 |
| 197, 353 |
∴ So the LCM of the given numbers is 2 x 197 x 353 = 139082
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/139082
Therefore, the GCF of Fractions 1383/394,6812/706 is 1/139082
Least Common Multiple of 394,706 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 394,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(394,706) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(394,706) x common factors =2 x 1 = 2
LCM(394,706) = ( 394 × 706 ) / 2
LCM(394,706) = 278164 / 2
LCM(394,706) = 139082
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1383/394, 6812/706
1. What is the HCF of 1383,6812?
The HCF of 1383,6812 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 1383/394, 6812/706?
Answer: GCF of Numerators as per given numbers 1383/394, 6812/706 is
GCF of Numerators i.e. for 1383,6812 is 1
LCM of denominators i.e. for 394,706 is 139082.
Thus, GCF of Fractions is 1/139082.Finally, GCF of Fractions for 1383/394, 6812/706 is 1/139082.