GCF of 3281/168, 7425/108
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3281/168, 7425/108 i.e 1/1512 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3281/168, 7425/108.
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 3281/168,7425/108?
Given fractions are 3281/168,7425/108
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 3281/168,7425/108, numerators are 3281,7425
Denominators are 168,108
The GCF of 3281,7425 is 1 .
LCM of 168,108 is 1512.
The greatest common factor of 3281/168,7425/108 = [GCF of 3281,7425]/[LCM of 168,108]= 1/1512
Therefore, the GCF of 3281/168,7425/108 is 1/1512.
To find the highest common factor of 3281,7425, we have to find the factors of both numbers and list the highest common factor.
The factors of 3281 are 1, 17, 193, 3281
The factors of 7425 are 1, 3, 5, 9, 11, 15, 25, 27, 33, 45, 55, 75, 99, 135, 165, 225, 275, 297, 495, 675, 825, 1485, 2475, 7425
The HCF of 3281,7425 is 1.
Lets's calculate GCF of 3281,7425
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3281,7425 By Matching Biggest Common Factor Method
Now, list down the factors of 3281
:1,17,193,3281
Now, list down the factors of 7425
:1,3,5,9,11,15,25,27,33,45,55,75,99,135,165,225,275,297,495,675,825,1485,2475,7425
Greatest Common Factor
We found the factors 3281,7425 . The biggest common factor number is the GCF number.
So the greatest common factor 3281,7425 is 1.
Lets's calculate LCM of 168,108
| 2 | 168, 108 |
| 2 | 84, 54 |
| 3 | 42, 27 |
| 14, 9 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 14 x 9 = 1512
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1512
Therefore, the GCF of Fractions 3281/168,7425/108 is 1/1512
Least Common Multiple of 168,108 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 168,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(168,108) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(168,108) x common factors =12 x 1 = 12
LCM(168,108) = ( 168 × 108 ) / 12
LCM(168,108) = 18144 / 12
LCM(168,108) = 1512
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FAQs on GCF of Fractions of 3281/168, 7425/108
1. What is the HCF of 3281,7425?
The HCF of 3281,7425 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 3281/168, 7425/108?
Answer: GCF of Numerators as per given numbers 3281/168, 7425/108 is
GCF of Numerators i.e. for 3281,7425 is 1
LCM of denominators i.e. for 168,108 is 1512.
Thus, GCF of Fractions is 1/1512.Finally, GCF of Fractions for 3281/168, 7425/108 is 1/1512.