GCF of 3864/449, 3471/1972
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3864/449, 3471/1972 i.e 3/885428 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3864/449, 3471/1972.
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 3864/449,3471/1972?
Given fractions are 3864/449,3471/1972
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 3864/449,3471/1972, numerators are 3864,3471
Denominators are 449,1972
The GCF of 3864,3471 is 3 .
LCM of 449,1972 is 885428.
The greatest common factor of 3864/449,3471/1972 = [GCF of 3864,3471]/[LCM of 449,1972]= 3/885428
Therefore, the GCF of 3864/449,3471/1972 is 3/885428.
To find the highest common factor of 3864,3471, 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 3471 are 1, 3, 13, 39, 89, 267, 1157, 3471
The HCF of 3864,3471 is 3.
Lets's calculate GCF of 3864,3471
| 3 | 3864, 3471 |
| 1288, 1157 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3864,3471 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 3471
:1,3,13,39,89,267,1157,3471
Greatest Common Factor
We found the factors 3864,3471 . The biggest common factor number is the GCF number.
So the greatest common factor 3864,3471 is 3.
Lets's calculate LCM of 449,1972
Given numbers has no common factors except 1. So, there LCM is their product i.e 885428
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/885428
Therefore, the GCF of Fractions 3864/449,3471/1972 is 3/885428
Least Common Multiple of 449,1972 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 449,1972 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(449,1972) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(449,1972) x common factors =1 x 1 = 1
LCM(449,1972) = ( 449 × 1972 ) / 1
LCM(449,1972) = 885428 / 1
LCM(449,1972) = 885428
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FAQs on GCF of Fractions of 3864/449, 3471/1972
1. What is the HCF of 3864,3471?
The HCF of 3864,3471 is 3
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 3864/449, 3471/1972?
Answer: GCF of Numerators as per given numbers 3864/449, 3471/1972 is
GCF of Numerators i.e. for 3864,3471 is 3
LCM of denominators i.e. for 449,1972 is 885428.
Thus, GCF of Fractions is 3/885428.Finally, GCF of Fractions for 3864/449, 3471/1972 is 3/885428.