GCF of 3856/159, 8343/1907
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3856/159, 8343/1907 i.e 1/303213 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3856/159, 8343/1907.
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 3856/159,8343/1907?
Given fractions are 3856/159,8343/1907
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 3856/159,8343/1907, numerators are 3856,8343
Denominators are 159,1907
The GCF of 3856,8343 is 1 .
LCM of 159,1907 is 303213.
The greatest common factor of 3856/159,8343/1907 = [GCF of 3856,8343]/[LCM of 159,1907]= 1/303213
Therefore, the GCF of 3856/159,8343/1907 is 1/303213.
To find the highest common factor of 3856,8343, we have to find the factors of both numbers and list the highest common factor.
The factors of 3856 are 1, 2, 4, 8, 16, 241, 482, 964, 1928, 3856
The factors of 8343 are 1, 3, 9, 27, 81, 103, 309, 927, 2781, 8343
The HCF of 3856,8343 is 1.
Lets's calculate GCF of 3856,8343
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3856,8343 By Matching Biggest Common Factor Method
Now, list down the factors of 3856
:1,2,4,8,16,241,482,964,1928,3856
Now, list down the factors of 8343
:1,3,9,27,81,103,309,927,2781,8343
Greatest Common Factor
We found the factors 3856,8343 . The biggest common factor number is the GCF number.
So the greatest common factor 3856,8343 is 1.
Lets's calculate LCM of 159,1907
Given numbers has no common factors except 1. So, there LCM is their product i.e 303213
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/303213
Therefore, the GCF of Fractions 3856/159,8343/1907 is 1/303213
Least Common Multiple of 159,1907 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 159,1907 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(159,1907) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(159,1907) x common factors =1 x 1 = 1
LCM(159,1907) = ( 159 × 1907 ) / 1
LCM(159,1907) = 303213 / 1
LCM(159,1907) = 303213
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FAQs on GCF of Fractions of 3856/159, 8343/1907
1. What is the HCF of 3856,8343?
The HCF of 3856,8343 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 3856/159, 8343/1907?
Answer: GCF of Numerators as per given numbers 3856/159, 8343/1907 is
GCF of Numerators i.e. for 3856,8343 is 1
LCM of denominators i.e. for 159,1907 is 303213.
Thus, GCF of Fractions is 1/303213.Finally, GCF of Fractions for 3856/159, 8343/1907 is 1/303213.