GCF of 3606/809, 3682/446
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3606/809, 3682/446 i.e 2/360814 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3606/809, 3682/446.
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 3606/809,3682/446?
Given fractions are 3606/809,3682/446
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 3606/809,3682/446, numerators are 3606,3682
Denominators are 809,446
The GCF of 3606,3682 is 2 .
LCM of 809,446 is 360814.
The greatest common factor of 3606/809,3682/446 = [GCF of 3606,3682]/[LCM of 809,446]= 2/360814
Therefore, the GCF of 3606/809,3682/446 is 2/360814.
To find the highest common factor of 3606,3682, we have to find the factors of both numbers and list the highest common factor.
The factors of 3606 are 1, 2, 3, 6, 601, 1202, 1803, 3606
The factors of 3682 are 1, 2, 7, 14, 263, 526, 1841, 3682
The HCF of 3606,3682 is 2.
Lets's calculate GCF of 3606,3682
| 2 | 3606, 3682 |
| 1803, 1841 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3606,3682 By Matching Biggest Common Factor Method
Now, list down the factors of 3606
:1,2,3,6,601,1202,1803,3606
Now, list down the factors of 3682
:1,2,7,14,263,526,1841,3682
Greatest Common Factor
We found the factors 3606,3682 . The biggest common factor number is the GCF number.
So the greatest common factor 3606,3682 is 2.
Lets's calculate LCM of 809,446
Given numbers has no common factors except 1. So, there LCM is their product i.e 360814
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/360814
Therefore, the GCF of Fractions 3606/809,3682/446 is 2/360814
Least Common Multiple of 809,446 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 809,446 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(809,446) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(809,446) x common factors =1 x 1 = 1
LCM(809,446) = ( 809 × 446 ) / 1
LCM(809,446) = 360814 / 1
LCM(809,446) = 360814
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3606/809, 3682/446
1. What is the HCF of 3606,3682?
The HCF of 3606,3682 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 3606/809, 3682/446?
Answer: GCF of Numerators as per given numbers 3606/809, 3682/446 is
GCF of Numerators i.e. for 3606,3682 is 2
LCM of denominators i.e. for 809,446 is 360814.
Thus, GCF of Fractions is 2/360814.Finally, GCF of Fractions for 3606/809, 3682/446 is 2/360814.