GCF of 8431/324, 4675/1854
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8431/324, 4675/1854 i.e 1/33372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8431/324, 4675/1854.
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 8431/324,4675/1854?
Given fractions are 8431/324,4675/1854
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 8431/324,4675/1854, numerators are 8431,4675
Denominators are 324,1854
The GCF of 8431,4675 is 1 .
LCM of 324,1854 is 33372.
The greatest common factor of 8431/324,4675/1854 = [GCF of 8431,4675]/[LCM of 324,1854]= 1/33372
Therefore, the GCF of 8431/324,4675/1854 is 1/33372.
To find the highest common factor of 8431,4675, we have to find the factors of both numbers and list the highest common factor.
The factors of 8431 are 1, 8431
The factors of 4675 are 1, 5, 11, 17, 25, 55, 85, 187, 275, 425, 935, 4675
The HCF of 8431,4675 is 1.
Lets's calculate GCF of 8431,4675
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8431,4675 By Matching Biggest Common Factor Method
Now, list down the factors of 8431
:1,8431
Now, list down the factors of 4675
:1,5,11,17,25,55,85,187,275,425,935,4675
Greatest Common Factor
We found the factors 8431,4675 . The biggest common factor number is the GCF number.
So the greatest common factor 8431,4675 is 1.
Lets's calculate LCM of 324,1854
| 2 | 324, 1854 |
| 3 | 162, 927 |
| 3 | 54, 309 |
| 18, 103 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 18 x 103 = 33372
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33372
Therefore, the GCF of Fractions 8431/324,4675/1854 is 1/33372
Least Common Multiple of 324,1854 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 324,1854 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(324,1854) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(324,1854) x common factors =18 x 1 = 18
LCM(324,1854) = ( 324 × 1854 ) / 18
LCM(324,1854) = 600696 / 18
LCM(324,1854) = 33372
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FAQs on GCF of Fractions of 8431/324, 4675/1854
1. What is the HCF of 8431,4675?
The HCF of 8431,4675 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 8431/324, 4675/1854?
Answer: GCF of Numerators as per given numbers 8431/324, 4675/1854 is
GCF of Numerators i.e. for 8431,4675 is 1
LCM of denominators i.e. for 324,1854 is 33372.
Thus, GCF of Fractions is 1/33372.Finally, GCF of Fractions for 8431/324, 4675/1854 is 1/33372.