GCF of 3671/329, 4000/2233
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3671/329, 4000/2233 i.e 1/104951 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3671/329, 4000/2233.
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 3671/329,4000/2233?
Given fractions are 3671/329,4000/2233
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 3671/329,4000/2233, numerators are 3671,4000
Denominators are 329,2233
The GCF of 3671,4000 is 1 .
LCM of 329,2233 is 104951.
The greatest common factor of 3671/329,4000/2233 = [GCF of 3671,4000]/[LCM of 329,2233]= 1/104951
Therefore, the GCF of 3671/329,4000/2233 is 1/104951.
To find the highest common factor of 3671,4000, we have to find the factors of both numbers and list the highest common factor.
The factors of 3671 are 1, 3671
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 3671,4000 is 1.
Lets's calculate GCF of 3671,4000
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3671,4000 By Matching Biggest Common Factor Method
Now, list down the factors of 3671
:1,3671
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 3671,4000 . The biggest common factor number is the GCF number.
So the greatest common factor 3671,4000 is 1.
Lets's calculate LCM of 329,2233
| 7 | 329, 2233 |
| 47, 319 |
∴ So the LCM of the given numbers is 7 x 47 x 319 = 104951
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/104951
Therefore, the GCF of Fractions 3671/329,4000/2233 is 1/104951
Least Common Multiple of 329,2233 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 329,2233 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(329,2233) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(329,2233) x common factors =7 x 1 = 7
LCM(329,2233) = ( 329 × 2233 ) / 7
LCM(329,2233) = 734657 / 7
LCM(329,2233) = 104951
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3671/329, 4000/2233
1. What is the HCF of 3671,4000?
The HCF of 3671,4000 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 3671/329, 4000/2233?
Answer: GCF of Numerators as per given numbers 3671/329, 4000/2233 is
GCF of Numerators i.e. for 3671,4000 is 1
LCM of denominators i.e. for 329,2233 is 104951.
Thus, GCF of Fractions is 1/104951.Finally, GCF of Fractions for 3671/329, 4000/2233 is 1/104951.