GCF of 3258/461, 1694/288
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3258/461, 1694/288 i.e 2/132768 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3258/461, 1694/288.
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 3258/461,1694/288?
Given fractions are 3258/461,1694/288
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 3258/461,1694/288, numerators are 3258,1694
Denominators are 461,288
The GCF of 3258,1694 is 2 .
LCM of 461,288 is 132768.
The greatest common factor of 3258/461,1694/288 = [GCF of 3258,1694]/[LCM of 461,288]= 2/132768
Therefore, the GCF of 3258/461,1694/288 is 2/132768.
To find the highest common factor of 3258,1694, we have to find the factors of both numbers and list the highest common factor.
The factors of 3258 are 1, 2, 3, 6, 9, 18, 181, 362, 543, 1086, 1629, 3258
The factors of 1694 are 1, 2, 7, 11, 14, 22, 77, 121, 154, 242, 847, 1694
The HCF of 3258,1694 is 2.
Lets's calculate GCF of 3258,1694
| 2 | 3258, 1694 |
| 1629, 847 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3258,1694 By Matching Biggest Common Factor Method
Now, list down the factors of 3258
:1,2,3,6,9,18,181,362,543,1086,1629,3258
Now, list down the factors of 1694
:1,2,7,11,14,22,77,121,154,242,847,1694
Greatest Common Factor
We found the factors 3258,1694 . The biggest common factor number is the GCF number.
So the greatest common factor 3258,1694 is 2.
Lets's calculate LCM of 461,288
Given numbers has no common factors except 1. So, there LCM is their product i.e 132768
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/132768
Therefore, the GCF of Fractions 3258/461,1694/288 is 2/132768
Least Common Multiple of 461,288 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 461,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(461,288) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(461,288) x common factors =1 x 1 = 1
LCM(461,288) = ( 461 × 288 ) / 1
LCM(461,288) = 132768 / 1
LCM(461,288) = 132768
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FAQs on GCF of Fractions of 3258/461, 1694/288
1. What is the HCF of 3258,1694?
The HCF of 3258,1694 is 2
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 3258/461, 1694/288?
Answer: GCF of Numerators as per given numbers 3258/461, 1694/288 is
GCF of Numerators i.e. for 3258,1694 is 2
LCM of denominators i.e. for 461,288 is 132768.
Thus, GCF of Fractions is 2/132768.Finally, GCF of Fractions for 3258/461, 1694/288 is 2/132768.