GCF of 4344/166, 1366/2004
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4344/166, 1366/2004 i.e 2/166332 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4344/166, 1366/2004.
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 4344/166,1366/2004?
Given fractions are 4344/166,1366/2004
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 4344/166,1366/2004, numerators are 4344,1366
Denominators are 166,2004
The GCF of 4344,1366 is 2 .
LCM of 166,2004 is 166332.
The greatest common factor of 4344/166,1366/2004 = [GCF of 4344,1366]/[LCM of 166,2004]= 2/166332
Therefore, the GCF of 4344/166,1366/2004 is 2/166332.
To find the highest common factor of 4344,1366, we have to find the factors of both numbers and list the highest common factor.
The factors of 4344 are 1, 2, 3, 4, 6, 8, 12, 24, 181, 362, 543, 724, 1086, 1448, 2172, 4344
The factors of 1366 are 1, 2, 683, 1366
The HCF of 4344,1366 is 2.
Lets's calculate GCF of 4344,1366
| 2 | 4344, 1366 |
| 2172, 683 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4344,1366 By Matching Biggest Common Factor Method
Now, list down the factors of 4344
:1,2,3,4,6,8,12,24,181,362,543,724,1086,1448,2172,4344
Now, list down the factors of 1366
:1,2,683,1366
Greatest Common Factor
We found the factors 4344,1366 . The biggest common factor number is the GCF number.
So the greatest common factor 4344,1366 is 2.
Lets's calculate LCM of 166,2004
| 2 | 166, 2004 |
| 83, 1002 |
∴ So the LCM of the given numbers is 2 x 83 x 1002 = 166332
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/166332
Therefore, the GCF of Fractions 4344/166,1366/2004 is 2/166332
Least Common Multiple of 166,2004 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 166,2004 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(166,2004) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(166,2004) x common factors =2 x 1 = 2
LCM(166,2004) = ( 166 × 2004 ) / 2
LCM(166,2004) = 332664 / 2
LCM(166,2004) = 166332
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FAQs on GCF of Fractions of 4344/166, 1366/2004
1. What is the HCF of 4344,1366?
The HCF of 4344,1366 is 2
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 4344/166, 1366/2004?
Answer: GCF of Numerators as per given numbers 4344/166, 1366/2004 is
GCF of Numerators i.e. for 4344,1366 is 2
LCM of denominators i.e. for 166,2004 is 166332.
Thus, GCF of Fractions is 2/166332.Finally, GCF of Fractions for 4344/166, 1366/2004 is 2/166332.