GCF of 201/809, 3685/686
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 201/809, 3685/686 i.e 67/554974 easily. The following is the detailed procedure to determine the greatest common factor of fractions 201/809, 3685/686.
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 201/809,3685/686?
Given fractions are 201/809,3685/686
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 201/809,3685/686, numerators are 201,3685
Denominators are 809,686
The GCF of 201,3685 is 67 .
LCM of 809,686 is 554974.
The greatest common factor of 201/809,3685/686 = [GCF of 201,3685]/[LCM of 809,686]= 67/554974
Therefore, the GCF of 201/809,3685/686 is 67/554974.
To find the highest common factor of 201,3685, we have to find the factors of both numbers and list the highest common factor.
The factors of 201 are 1, 3, 67, 201
The factors of 3685 are 1, 5, 11, 55, 67, 335, 737, 3685
The HCF of 201,3685 is 67.
Lets's calculate GCF of 201,3685
| 67 | 201, 3685 |
| 3, 55 |
∴ So the GCF of the given numbers is 67 = 67
Greatest Common Factor of 201,3685 By Matching Biggest Common Factor Method
Now, list down the factors of 201
:1,3,67,201
Now, list down the factors of 3685
:1,5,11,55,67,335,737,3685
Greatest Common Factor
We found the factors 201,3685 . The biggest common factor number is the GCF number.
So the greatest common factor 201,3685 is 67.
Lets's calculate LCM of 809,686
Given numbers has no common factors except 1. So, there LCM is their product i.e 554974
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 67/554974
Therefore, the GCF of Fractions 201/809,3685/686 is 67/554974
Least Common Multiple of 809,686 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 809,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(809,686) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(809,686) x common factors =1 x 1 = 1
LCM(809,686) = ( 809 × 686 ) / 1
LCM(809,686) = 554974 / 1
LCM(809,686) = 554974
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FAQs on GCF of Fractions of 201/809, 3685/686
1. What is the HCF of 201,3685?
The HCF of 201,3685 is 67
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 201/809, 3685/686?
Answer: GCF of Numerators as per given numbers 201/809, 3685/686 is
GCF of Numerators i.e. for 201,3685 is 67
LCM of denominators i.e. for 809,686 is 554974.
Thus, GCF of Fractions is 67/554974.Finally, GCF of Fractions for 201/809, 3685/686 is 67/554974.