GCF of 3274/161, 3824/289
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3274/161, 3824/289 i.e 2/46529 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3274/161, 3824/289.
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 3274/161,3824/289?
Given fractions are 3274/161,3824/289
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 3274/161,3824/289, numerators are 3274,3824
Denominators are 161,289
The GCF of 3274,3824 is 2 .
LCM of 161,289 is 46529.
The greatest common factor of 3274/161,3824/289 = [GCF of 3274,3824]/[LCM of 161,289]= 2/46529
Therefore, the GCF of 3274/161,3824/289 is 2/46529.
To find the highest common factor of 3274,3824, we have to find the factors of both numbers and list the highest common factor.
The factors of 3274 are 1, 2, 1637, 3274
The factors of 3824 are 1, 2, 4, 8, 16, 239, 478, 956, 1912, 3824
The HCF of 3274,3824 is 2.
Lets's calculate GCF of 3274,3824
| 2 | 3274, 3824 |
| 1637, 1912 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3274,3824 By Matching Biggest Common Factor Method
Now, list down the factors of 3274
:1,2,1637,3274
Now, list down the factors of 3824
:1,2,4,8,16,239,478,956,1912,3824
Greatest Common Factor
We found the factors 3274,3824 . The biggest common factor number is the GCF number.
So the greatest common factor 3274,3824 is 2.
Lets's calculate LCM of 161,289
Given numbers has no common factors except 1. So, there LCM is their product i.e 46529
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/46529
Therefore, the GCF of Fractions 3274/161,3824/289 is 2/46529
Least Common Multiple of 161,289 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 161,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(161,289) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(161,289) x common factors =1 x 1 = 1
LCM(161,289) = ( 161 × 289 ) / 1
LCM(161,289) = 46529 / 1
LCM(161,289) = 46529
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FAQs on GCF of Fractions of 3274/161, 3824/289
1. What is the HCF of 3274,3824?
The HCF of 3274,3824 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 3274/161, 3824/289?
Answer: GCF of Numerators as per given numbers 3274/161, 3824/289 is
GCF of Numerators i.e. for 3274,3824 is 2
LCM of denominators i.e. for 161,289 is 46529.
Thus, GCF of Fractions is 2/46529.Finally, GCF of Fractions for 3274/161, 3824/289 is 2/46529.