GCF of 3394/109, 8694/2604
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3394/109, 8694/2604 i.e 2/283836 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3394/109, 8694/2604.
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 3394/109,8694/2604?
Given fractions are 3394/109,8694/2604
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 3394/109,8694/2604, numerators are 3394,8694
Denominators are 109,2604
The GCF of 3394,8694 is 2 .
LCM of 109,2604 is 283836.
The greatest common factor of 3394/109,8694/2604 = [GCF of 3394,8694]/[LCM of 109,2604]= 2/283836
Therefore, the GCF of 3394/109,8694/2604 is 2/283836.
To find the highest common factor of 3394,8694, we have to find the factors of both numbers and list the highest common factor.
The factors of 3394 are 1, 2, 1697, 3394
The factors of 8694 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 23, 27, 42, 46, 54, 63, 69, 126, 138, 161, 189, 207, 322, 378, 414, 483, 621, 966, 1242, 1449, 2898, 4347, 8694
The HCF of 3394,8694 is 2.
Lets's calculate GCF of 3394,8694
| 2 | 3394, 8694 |
| 1697, 4347 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3394,8694 By Matching Biggest Common Factor Method
Now, list down the factors of 3394
:1,2,1697,3394
Now, list down the factors of 8694
:1,2,3,6,7,9,14,18,21,23,27,42,46,54,63,69,126,138,161,189,207,322,378,414,483,621,966,1242,1449,2898,4347,8694
Greatest Common Factor
We found the factors 3394,8694 . The biggest common factor number is the GCF number.
So the greatest common factor 3394,8694 is 2.
Lets's calculate LCM of 109,2604
Given numbers has no common factors except 1. So, there LCM is their product i.e 283836
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/283836
Therefore, the GCF of Fractions 3394/109,8694/2604 is 2/283836
Least Common Multiple of 109,2604 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 109,2604 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(109,2604) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(109,2604) x common factors =1 x 1 = 1
LCM(109,2604) = ( 109 × 2604 ) / 1
LCM(109,2604) = 283836 / 1
LCM(109,2604) = 283836
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3394/109, 8694/2604
1. What is the HCF of 3394,8694?
The HCF of 3394,8694 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 3394/109, 8694/2604?
Answer: GCF of Numerators as per given numbers 3394/109, 8694/2604 is
GCF of Numerators i.e. for 3394,8694 is 2
LCM of denominators i.e. for 109,2604 is 283836.
Thus, GCF of Fractions is 2/283836.Finally, GCF of Fractions for 3394/109, 8694/2604 is 2/283836.