GCF of 3949/322, 3868/3256
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3949/322, 3868/3256 i.e 1/524216 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3949/322, 3868/3256.
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 3949/322,3868/3256?
Given fractions are 3949/322,3868/3256
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 3949/322,3868/3256, numerators are 3949,3868
Denominators are 322,3256
The GCF of 3949,3868 is 1 .
LCM of 322,3256 is 524216.
The greatest common factor of 3949/322,3868/3256 = [GCF of 3949,3868]/[LCM of 322,3256]= 1/524216
Therefore, the GCF of 3949/322,3868/3256 is 1/524216.
To find the highest common factor of 3949,3868, we have to find the factors of both numbers and list the highest common factor.
The factors of 3949 are 1, 11, 359, 3949
The factors of 3868 are 1, 2, 4, 967, 1934, 3868
The HCF of 3949,3868 is 1.
Lets's calculate GCF of 3949,3868
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3949,3868 By Matching Biggest Common Factor Method
Now, list down the factors of 3949
:1,11,359,3949
Now, list down the factors of 3868
:1,2,4,967,1934,3868
Greatest Common Factor
We found the factors 3949,3868 . The biggest common factor number is the GCF number.
So the greatest common factor 3949,3868 is 1.
Lets's calculate LCM of 322,3256
| 2 | 322, 3256 |
| 161, 1628 |
∴ So the LCM of the given numbers is 2 x 161 x 1628 = 524216
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/524216
Therefore, the GCF of Fractions 3949/322,3868/3256 is 1/524216
Least Common Multiple of 322,3256 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 322,3256 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(322,3256) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(322,3256) x common factors =2 x 1 = 2
LCM(322,3256) = ( 322 × 3256 ) / 2
LCM(322,3256) = 1048432 / 2
LCM(322,3256) = 524216
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FAQs on GCF of Fractions of 3949/322, 3868/3256
1. What is the HCF of 3949,3868?
The HCF of 3949,3868 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 3949/322, 3868/3256?
Answer: GCF of Numerators as per given numbers 3949/322, 3868/3256 is
GCF of Numerators i.e. for 3949,3868 is 1
LCM of denominators i.e. for 322,3256 is 524216.
Thus, GCF of Fractions is 1/524216.Finally, GCF of Fractions for 3949/322, 3868/3256 is 1/524216.