GCF of 8168/353, 8357/512
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8168/353, 8357/512 i.e 1/180736 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8168/353, 8357/512.
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 8168/353,8357/512?
Given fractions are 8168/353,8357/512
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 8168/353,8357/512, numerators are 8168,8357
Denominators are 353,512
The GCF of 8168,8357 is 1 .
LCM of 353,512 is 180736.
The greatest common factor of 8168/353,8357/512 = [GCF of 8168,8357]/[LCM of 353,512]= 1/180736
Therefore, the GCF of 8168/353,8357/512 is 1/180736.
To find the highest common factor of 8168,8357, we have to find the factors of both numbers and list the highest common factor.
The factors of 8168 are 1, 2, 4, 8, 1021, 2042, 4084, 8168
The factors of 8357 are 1, 61, 137, 8357
The HCF of 8168,8357 is 1.
Lets's calculate GCF of 8168,8357
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8168,8357 By Matching Biggest Common Factor Method
Now, list down the factors of 8168
:1,2,4,8,1021,2042,4084,8168
Now, list down the factors of 8357
:1,61,137,8357
Greatest Common Factor
We found the factors 8168,8357 . The biggest common factor number is the GCF number.
So the greatest common factor 8168,8357 is 1.
Lets's calculate LCM of 353,512
Given numbers has no common factors except 1. So, there LCM is their product i.e 180736
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/180736
Therefore, the GCF of Fractions 8168/353,8357/512 is 1/180736
Least Common Multiple of 353,512 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 353,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(353,512) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(353,512) x common factors =1 x 1 = 1
LCM(353,512) = ( 353 × 512 ) / 1
LCM(353,512) = 180736 / 1
LCM(353,512) = 180736
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FAQs on GCF of Fractions of 8168/353, 8357/512
1. What is the HCF of 8168,8357?
The HCF of 8168,8357 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 8168/353, 8357/512?
Answer: GCF of Numerators as per given numbers 8168/353, 8357/512 is
GCF of Numerators i.e. for 8168,8357 is 1
LCM of denominators i.e. for 353,512 is 180736.
Thus, GCF of Fractions is 1/180736.Finally, GCF of Fractions for 8168/353, 8357/512 is 1/180736.