GCF of 1386/576, 3256/6342
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1386/576, 3256/6342 i.e 22/608832 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1386/576, 3256/6342.
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 1386/576,3256/6342?
Given fractions are 1386/576,3256/6342
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 1386/576,3256/6342, numerators are 1386,3256
Denominators are 576,6342
The GCF of 1386,3256 is 22 .
LCM of 576,6342 is 608832.
The greatest common factor of 1386/576,3256/6342 = [GCF of 1386,3256]/[LCM of 576,6342]= 22/608832
Therefore, the GCF of 1386/576,3256/6342 is 22/608832.
To find the highest common factor of 1386,3256, we have to find the factors of both numbers and list the highest common factor.
The factors of 1386 are 1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 33, 42, 63, 66, 77, 99, 126, 154, 198, 231, 462, 693, 1386
The factors of 3256 are 1, 2, 4, 8, 11, 22, 37, 44, 74, 88, 148, 296, 407, 814, 1628, 3256
The HCF of 1386,3256 is 22.
Lets's calculate GCF of 1386,3256
| 2 | 1386, 3256 |
| 11 | 693, 1628 |
| 63, 148 |
∴ So the GCF of the given numbers is 2 x 11 = 22
Greatest Common Factor of 1386,3256 By Matching Biggest Common Factor Method
Now, list down the factors of 1386
:1,2,3,6,7,9,11,14,18,21,22,33,42,63,66,77,99,126,154,198,231,462,693,1386
Now, list down the factors of 3256
:1,2,4,8,11,22,37,44,74,88,148,296,407,814,1628,3256
Greatest Common Factor
We found the factors 1386,3256 . The biggest common factor number is the GCF number.
So the greatest common factor 1386,3256 is 22.
Lets's calculate LCM of 576,6342
| 2 | 576, 6342 |
| 3 | 288, 3171 |
| 96, 1057 |
∴ So the LCM of the given numbers is 2 x 3 x 96 x 1057 = 608832
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/608832
Therefore, the GCF of Fractions 1386/576,3256/6342 is 22/608832
Least Common Multiple of 576,6342 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 576,6342 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(576,6342) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(576,6342) x common factors =6 x 1 = 6
LCM(576,6342) = ( 576 × 6342 ) / 6
LCM(576,6342) = 3652992 / 6
LCM(576,6342) = 608832
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FAQs on GCF of Fractions of 1386/576, 3256/6342
1. What is the HCF of 1386,3256?
The HCF of 1386,3256 is 22
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 1386/576, 3256/6342?
Answer: GCF of Numerators as per given numbers 1386/576, 3256/6342 is
GCF of Numerators i.e. for 1386,3256 is 22
LCM of denominators i.e. for 576,6342 is 608832.
Thus, GCF of Fractions is 22/608832.Finally, GCF of Fractions for 1386/576, 3256/6342 is 22/608832.