GCF of 806/409, 667/189
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 806/409, 667/189 i.e 1/77301 easily. The following is the detailed procedure to determine the greatest common factor of fractions 806/409, 667/189.
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 806/409,667/189?
Given fractions are 806/409,667/189
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 806/409,667/189, numerators are 806,667
Denominators are 409,189
The GCF of 806,667 is 1 .
LCM of 409,189 is 77301.
The greatest common factor of 806/409,667/189 = [GCF of 806,667]/[LCM of 409,189]= 1/77301
Therefore, the GCF of 806/409,667/189 is 1/77301.
To find the highest common factor of 806,667, we have to find the factors of both numbers and list the highest common factor.
The factors of 806 are 1, 2, 13, 26, 31, 62, 403, 806
The factors of 667 are 1, 23, 29, 667
The HCF of 806,667 is 1.
Lets's calculate GCF of 806,667
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 806,667 By Matching Biggest Common Factor Method
Now, list down the factors of 806
:1,2,13,26,31,62,403,806
Now, list down the factors of 667
:1,23,29,667
Greatest Common Factor
We found the factors 806,667 . The biggest common factor number is the GCF number.
So the greatest common factor 806,667 is 1.
Lets's calculate LCM of 409,189
Given numbers has no common factors except 1. So, there LCM is their product i.e 77301
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/77301
Therefore, the GCF of Fractions 806/409,667/189 is 1/77301
Least Common Multiple of 409,189 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 409,189 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(409,189) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(409,189) x common factors =1 x 1 = 1
LCM(409,189) = ( 409 × 189 ) / 1
LCM(409,189) = 77301 / 1
LCM(409,189) = 77301
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 806/409, 667/189
1. What is the HCF of 806,667?
The HCF of 806,667 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 806/409, 667/189?
Answer: GCF of Numerators as per given numbers 806/409, 667/189 is
GCF of Numerators i.e. for 806,667 is 1
LCM of denominators i.e. for 409,189 is 77301.
Thus, GCF of Fractions is 1/77301.Finally, GCF of Fractions for 806/409, 667/189 is 1/77301.