GCF of 166/512, 8057/3198
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 166/512, 8057/3198 i.e 1/818688 easily. The following is the detailed procedure to determine the greatest common factor of fractions 166/512, 8057/3198.
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 166/512,8057/3198?
Given fractions are 166/512,8057/3198
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 166/512,8057/3198, numerators are 166,8057
Denominators are 512,3198
The GCF of 166,8057 is 1 .
LCM of 512,3198 is 818688.
The greatest common factor of 166/512,8057/3198 = [GCF of 166,8057]/[LCM of 512,3198]= 1/818688
Therefore, the GCF of 166/512,8057/3198 is 1/818688.
To find the highest common factor of 166,8057, 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 8057 are 1, 7, 1151, 8057
The HCF of 166,8057 is 1.
Lets's calculate GCF of 166,8057
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 166,8057 By Matching Biggest Common Factor Method
Now, list down the factors of 166
:1,2,83,166
Now, list down the factors of 8057
:1,7,1151,8057
Greatest Common Factor
We found the factors 166,8057 . The biggest common factor number is the GCF number.
So the greatest common factor 166,8057 is 1.
Lets's calculate LCM of 512,3198
| 2 | 512, 3198 |
| 256, 1599 |
∴ So the LCM of the given numbers is 2 x 256 x 1599 = 818688
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/818688
Therefore, the GCF of Fractions 166/512,8057/3198 is 1/818688
Least Common Multiple of 512,3198 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 512,3198 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(512,3198) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(512,3198) x common factors =2 x 1 = 2
LCM(512,3198) = ( 512 × 3198 ) / 2
LCM(512,3198) = 1637376 / 2
LCM(512,3198) = 818688
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 166/512, 8057/3198
1. What is the HCF of 166,8057?
The HCF of 166,8057 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 166/512, 8057/3198?
Answer: GCF of Numerators as per given numbers 166/512, 8057/3198 is
GCF of Numerators i.e. for 166,8057 is 1
LCM of denominators i.e. for 512,3198 is 818688.
Thus, GCF of Fractions is 1/818688.Finally, GCF of Fractions for 166/512, 8057/3198 is 1/818688.