GCF of 1681/322, 3856/1542
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1681/322, 3856/1542 i.e 1/248262 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1681/322, 3856/1542.
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 1681/322,3856/1542?
Given fractions are 1681/322,3856/1542
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 1681/322,3856/1542, numerators are 1681,3856
Denominators are 322,1542
The GCF of 1681,3856 is 1 .
LCM of 322,1542 is 248262.
The greatest common factor of 1681/322,3856/1542 = [GCF of 1681,3856]/[LCM of 322,1542]= 1/248262
Therefore, the GCF of 1681/322,3856/1542 is 1/248262.
To find the highest common factor of 1681,3856, we have to find the factors of both numbers and list the highest common factor.
The factors of 1681 are 1, 41, 1681
The factors of 3856 are 1, 2, 4, 8, 16, 241, 482, 964, 1928, 3856
The HCF of 1681,3856 is 1.
Lets's calculate GCF of 1681,3856
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1681,3856 By Matching Biggest Common Factor Method
Now, list down the factors of 1681
:1,41,1681
Now, list down the factors of 3856
:1,2,4,8,16,241,482,964,1928,3856
Greatest Common Factor
We found the factors 1681,3856 . The biggest common factor number is the GCF number.
So the greatest common factor 1681,3856 is 1.
Lets's calculate LCM of 322,1542
| 2 | 322, 1542 |
| 161, 771 |
∴ So the LCM of the given numbers is 2 x 161 x 771 = 248262
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/248262
Therefore, the GCF of Fractions 1681/322,3856/1542 is 1/248262
Least Common Multiple of 322,1542 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 322,1542 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(322,1542) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(322,1542) x common factors =2 x 1 = 2
LCM(322,1542) = ( 322 × 1542 ) / 2
LCM(322,1542) = 496524 / 2
LCM(322,1542) = 248262
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FAQs on GCF of Fractions of 1681/322, 3856/1542
1. What is the HCF of 1681,3856?
The HCF of 1681,3856 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 1681/322, 3856/1542?
Answer: GCF of Numerators as per given numbers 1681/322, 3856/1542 is
GCF of Numerators i.e. for 1681,3856 is 1
LCM of denominators i.e. for 322,1542 is 248262.
Thus, GCF of Fractions is 1/248262.Finally, GCF of Fractions for 1681/322, 3856/1542 is 1/248262.