GCF of 3828/432, 3864/438
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3828/432, 3864/438 i.e 12/31536 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3828/432, 3864/438.
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 3828/432,3864/438?
Given fractions are 3828/432,3864/438
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 3828/432,3864/438, numerators are 3828,3864
Denominators are 432,438
The GCF of 3828,3864 is 12 .
LCM of 432,438 is 31536.
The greatest common factor of 3828/432,3864/438 = [GCF of 3828,3864]/[LCM of 432,438]= 12/31536
Therefore, the GCF of 3828/432,3864/438 is 12/31536.
To find the highest common factor of 3828,3864, we have to find the factors of both numbers and list the highest common factor.
The factors of 3828 are 1, 2, 3, 4, 6, 11, 12, 22, 29, 33, 44, 58, 66, 87, 116, 132, 174, 319, 348, 638, 957, 1276, 1914, 3828
The factors of 3864 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 23, 24, 28, 42, 46, 56, 69, 84, 92, 138, 161, 168, 184, 276, 322, 483, 552, 644, 966, 1288, 1932, 3864
The HCF of 3828,3864 is 12.
Lets's calculate GCF of 3828,3864
| 2 | 3828, 3864 |
| 2 | 1914, 1932 |
| 3 | 957, 966 |
| 319, 322 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 3828,3864 By Matching Biggest Common Factor Method
Now, list down the factors of 3828
:1,2,3,4,6,11,12,22,29,33,44,58,66,87,116,132,174,319,348,638,957,1276,1914,3828
Now, list down the factors of 3864
:1,2,3,4,6,7,8,12,14,21,23,24,28,42,46,56,69,84,92,138,161,168,184,276,322,483,552,644,966,1288,1932,3864
Greatest Common Factor
We found the factors 3828,3864 . The biggest common factor number is the GCF number.
So the greatest common factor 3828,3864 is 12.
Lets's calculate LCM of 432,438
| 2 | 432, 438 |
| 3 | 216, 219 |
| 72, 73 |
∴ So the LCM of the given numbers is 2 x 3 x 72 x 73 = 31536
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/31536
Therefore, the GCF of Fractions 3828/432,3864/438 is 12/31536
Least Common Multiple of 432,438 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 432,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(432,438) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(432,438) x common factors =6 x 1 = 6
LCM(432,438) = ( 432 × 438 ) / 6
LCM(432,438) = 189216 / 6
LCM(432,438) = 31536
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FAQs on GCF of Fractions of 3828/432, 3864/438
1. What is the HCF of 3828,3864?
The HCF of 3828,3864 is 12
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 3828/432, 3864/438?
Answer: GCF of Numerators as per given numbers 3828/432, 3864/438 is
GCF of Numerators i.e. for 3828,3864 is 12
LCM of denominators i.e. for 432,438 is 31536.
Thus, GCF of Fractions is 12/31536.Finally, GCF of Fractions for 3828/432, 3864/438 is 12/31536.