GCF of 3205/159, 4000/5961
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3205/159, 4000/5961 i.e 5/315933 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3205/159, 4000/5961.
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 3205/159,4000/5961?
Given fractions are 3205/159,4000/5961
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 3205/159,4000/5961, numerators are 3205,4000
Denominators are 159,5961
The GCF of 3205,4000 is 5 .
LCM of 159,5961 is 315933.
The greatest common factor of 3205/159,4000/5961 = [GCF of 3205,4000]/[LCM of 159,5961]= 5/315933
Therefore, the GCF of 3205/159,4000/5961 is 5/315933.
To find the highest common factor of 3205,4000, we have to find the factors of both numbers and list the highest common factor.
The factors of 3205 are 1, 5, 641, 3205
The factors of 4000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 125, 160, 200, 250, 400, 500, 800, 1000, 2000, 4000
The HCF of 3205,4000 is 5.
Lets's calculate GCF of 3205,4000
| 5 | 3205, 4000 |
| 641, 800 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 3205,4000 By Matching Biggest Common Factor Method
Now, list down the factors of 3205
:1,5,641,3205
Now, list down the factors of 4000
:1,2,4,5,8,10,16,20,25,32,40,50,80,100,125,160,200,250,400,500,800,1000,2000,4000
Greatest Common Factor
We found the factors 3205,4000 . The biggest common factor number is the GCF number.
So the greatest common factor 3205,4000 is 5.
Lets's calculate LCM of 159,5961
| 3 | 159, 5961 |
| 53, 1987 |
∴ So the LCM of the given numbers is 3 x 53 x 1987 = 315933
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/315933
Therefore, the GCF of Fractions 3205/159,4000/5961 is 5/315933
Least Common Multiple of 159,5961 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 159,5961 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(159,5961) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(159,5961) x common factors =3 x 1 = 3
LCM(159,5961) = ( 159 × 5961 ) / 3
LCM(159,5961) = 947799 / 3
LCM(159,5961) = 315933
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FAQs on GCF of Fractions of 3205/159, 4000/5961
1. What is the HCF of 3205,4000?
The HCF of 3205,4000 is 5
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 3205/159, 4000/5961?
Answer: GCF of Numerators as per given numbers 3205/159, 4000/5961 is
GCF of Numerators i.e. for 3205,4000 is 5
LCM of denominators i.e. for 159,5961 is 315933.
Thus, GCF of Fractions is 5/315933.Finally, GCF of Fractions for 3205/159, 4000/5961 is 5/315933.