GCF of 3959/200, 5152/819
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3959/200, 5152/819 i.e 1/163800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3959/200, 5152/819.
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 3959/200,5152/819?
Given fractions are 3959/200,5152/819
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 3959/200,5152/819, numerators are 3959,5152
Denominators are 200,819
The GCF of 3959,5152 is 1 .
LCM of 200,819 is 163800.
The greatest common factor of 3959/200,5152/819 = [GCF of 3959,5152]/[LCM of 200,819]= 1/163800
Therefore, the GCF of 3959/200,5152/819 is 1/163800.
To find the highest common factor of 3959,5152, we have to find the factors of both numbers and list the highest common factor.
The factors of 3959 are 1, 37, 107, 3959
The factors of 5152 are 1, 2, 4, 7, 8, 14, 16, 23, 28, 32, 46, 56, 92, 112, 161, 184, 224, 322, 368, 644, 736, 1288, 2576, 5152
The HCF of 3959,5152 is 1.
Lets's calculate GCF of 3959,5152
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3959,5152 By Matching Biggest Common Factor Method
Now, list down the factors of 3959
:1,37,107,3959
Now, list down the factors of 5152
:1,2,4,7,8,14,16,23,28,32,46,56,92,112,161,184,224,322,368,644,736,1288,2576,5152
Greatest Common Factor
We found the factors 3959,5152 . The biggest common factor number is the GCF number.
So the greatest common factor 3959,5152 is 1.
Lets's calculate LCM of 200,819
Given numbers has no common factors except 1. So, there LCM is their product i.e 163800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/163800
Therefore, the GCF of Fractions 3959/200,5152/819 is 1/163800
Least Common Multiple of 200,819 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 200,819 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(200,819) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(200,819) x common factors =1 x 1 = 1
LCM(200,819) = ( 200 × 819 ) / 1
LCM(200,819) = 163800 / 1
LCM(200,819) = 163800
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FAQs on GCF of Fractions of 3959/200, 5152/819
1. What is the HCF of 3959,5152?
The HCF of 3959,5152 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 3959/200, 5152/819?
Answer: GCF of Numerators as per given numbers 3959/200, 5152/819 is
GCF of Numerators i.e. for 3959,5152 is 1
LCM of denominators i.e. for 200,819 is 163800.
Thus, GCF of Fractions is 1/163800.Finally, GCF of Fractions for 3959/200, 5152/819 is 1/163800.