GCF of 3864/363, 4464/9749
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3864/363, 4464/9749 i.e 24/3538887 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3864/363, 4464/9749.
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 3864/363,4464/9749?
Given fractions are 3864/363,4464/9749
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 3864/363,4464/9749, numerators are 3864,4464
Denominators are 363,9749
The GCF of 3864,4464 is 24 .
LCM of 363,9749 is 3538887.
The greatest common factor of 3864/363,4464/9749 = [GCF of 3864,4464]/[LCM of 363,9749]= 24/3538887
Therefore, the GCF of 3864/363,4464/9749 is 24/3538887.
To find the highest common factor of 3864,4464, we have to find the factors of both numbers and list the highest common factor.
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 factors of 4464 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 31, 36, 48, 62, 72, 93, 124, 144, 186, 248, 279, 372, 496, 558, 744, 1116, 1488, 2232, 4464
The HCF of 3864,4464 is 24.
Lets's calculate GCF of 3864,4464
| 2 | 3864, 4464 |
| 2 | 1932, 2232 |
| 2 | 966, 1116 |
| 3 | 483, 558 |
| 161, 186 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24
Greatest Common Factor of 3864,4464 By Matching Biggest Common Factor Method
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
Now, list down the factors of 4464
:1,2,3,4,6,8,9,12,16,18,24,31,36,48,62,72,93,124,144,186,248,279,372,496,558,744,1116,1488,2232,4464
Greatest Common Factor
We found the factors 3864,4464 . The biggest common factor number is the GCF number.
So the greatest common factor 3864,4464 is 24.
Lets's calculate LCM of 363,9749
Given numbers has no common factors except 1. So, there LCM is their product i.e 3538887
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/3538887
Therefore, the GCF of Fractions 3864/363,4464/9749 is 24/3538887
Least Common Multiple of 363,9749 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 363,9749 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(363,9749) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(363,9749) x common factors =1 x 1 = 1
LCM(363,9749) = ( 363 × 9749 ) / 1
LCM(363,9749) = 3538887 / 1
LCM(363,9749) = 3538887
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FAQs on GCF of Fractions of 3864/363, 4464/9749
1. What is the HCF of 3864,4464?
The HCF of 3864,4464 is 24
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 3864/363, 4464/9749?
Answer: GCF of Numerators as per given numbers 3864/363, 4464/9749 is
GCF of Numerators i.e. for 3864,4464 is 24
LCM of denominators i.e. for 363,9749 is 3538887.
Thus, GCF of Fractions is 24/3538887.Finally, GCF of Fractions for 3864/363, 4464/9749 is 24/3538887.