GCF of 3905/319, 6000/545
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3905/319, 6000/545 i.e 5/173855 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3905/319, 6000/545.
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 3905/319,6000/545?
Given fractions are 3905/319,6000/545
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 3905/319,6000/545, numerators are 3905,6000
Denominators are 319,545
The GCF of 3905,6000 is 5 .
LCM of 319,545 is 173855.
The greatest common factor of 3905/319,6000/545 = [GCF of 3905,6000]/[LCM of 319,545]= 5/173855
Therefore, the GCF of 3905/319,6000/545 is 5/173855.
To find the highest common factor of 3905,6000, we have to find the factors of both numbers and list the highest common factor.
The factors of 3905 are 1, 5, 11, 55, 71, 355, 781, 3905
The factors of 6000 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 125, 150, 200, 240, 250, 300, 375, 400, 500, 600, 750, 1000, 1200, 1500, 2000, 3000, 6000
The HCF of 3905,6000 is 5.
Lets's calculate GCF of 3905,6000
| 5 | 3905, 6000 |
| 781, 1200 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 3905,6000 By Matching Biggest Common Factor Method
Now, list down the factors of 3905
:1,5,11,55,71,355,781,3905
Now, list down the factors of 6000
:1,2,3,4,5,6,8,10,12,15,16,20,24,25,30,40,48,50,60,75,80,100,120,125,150,200,240,250,300,375,400,500,600,750,1000,1200,1500,2000,3000,6000
Greatest Common Factor
We found the factors 3905,6000 . The biggest common factor number is the GCF number.
So the greatest common factor 3905,6000 is 5.
Lets's calculate LCM of 319,545
Given numbers has no common factors except 1. So, there LCM is their product i.e 173855
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/173855
Therefore, the GCF of Fractions 3905/319,6000/545 is 5/173855
Least Common Multiple of 319,545 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 319,545 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(319,545) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(319,545) x common factors =1 x 1 = 1
LCM(319,545) = ( 319 × 545 ) / 1
LCM(319,545) = 173855 / 1
LCM(319,545) = 173855
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FAQs on GCF of Fractions of 3905/319, 6000/545
1. What is the HCF of 3905,6000?
The HCF of 3905,6000 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 3905/319, 6000/545?
Answer: GCF of Numerators as per given numbers 3905/319, 6000/545 is
GCF of Numerators i.e. for 3905,6000 is 5
LCM of denominators i.e. for 319,545 is 173855.
Thus, GCF of Fractions is 5/173855.Finally, GCF of Fractions for 3905/319, 6000/545 is 5/173855.