GCF of 166/808, 577/349
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 166/808, 577/349 i.e 1/281992 easily. The following is the detailed procedure to determine the greatest common factor of fractions 166/808, 577/349.
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 166/808,577/349?
Given fractions are 166/808,577/349
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 166/808,577/349, numerators are 166,577
Denominators are 808,349
The GCF of 166,577 is 1 .
LCM of 808,349 is 281992.
The greatest common factor of 166/808,577/349 = [GCF of 166,577]/[LCM of 808,349]= 1/281992
Therefore, the GCF of 166/808,577/349 is 1/281992.
To find the highest common factor of 166,577, we have to find the factors of both numbers and list the highest common factor.
The factors of 166 are 1, 2, 83, 166
The factors of 577 are 1, 577
The HCF of 166,577 is 1.
Lets's calculate GCF of 166,577
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 166,577 By Matching Biggest Common Factor Method
Now, list down the factors of 166
:1,2,83,166
Now, list down the factors of 577
:1,577
Greatest Common Factor
We found the factors 166,577 . The biggest common factor number is the GCF number.
So the greatest common factor 166,577 is 1.
Lets's calculate LCM of 808,349
Given numbers has no common factors except 1. So, there LCM is their product i.e 281992
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/281992
Therefore, the GCF of Fractions 166/808,577/349 is 1/281992
Least Common Multiple of 808,349 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 808,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(808,349) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(808,349) x common factors =1 x 1 = 1
LCM(808,349) = ( 808 × 349 ) / 1
LCM(808,349) = 281992 / 1
LCM(808,349) = 281992
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 166/808, 577/349
1. What is the HCF of 166,577?
The HCF of 166,577 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 166/808, 577/349?
Answer: GCF of Numerators as per given numbers 166/808, 577/349 is
GCF of Numerators i.e. for 166,577 is 1
LCM of denominators i.e. for 808,349 is 281992.
Thus, GCF of Fractions is 1/281992.Finally, GCF of Fractions for 166/808, 577/349 is 1/281992.