GCF of 444/384, 753/582, 648/344
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 444/384, 753/582, 648/344 i.e 3/1601664 easily. The following is the detailed procedure to determine the greatest common factor of fractions 444/384, 753/582, 648/344.
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 444/384,753/582,648/344?
Given fractions are 444/384,753/582,648/344
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 444/384,753/582,648/344, numerators are 444,753,648
Denominators are 384,582,344
The GCF of 444,753,648 is 3 .
LCM of 384,582,344 is 1601664.
The greatest common factor of 444/384,753/582,648/344 = [GCF of 444,753,648]/[LCM of 384,582,344]= 3/1601664
Therefore, the GCF of 444/384,753/582,648/344 is 3/1601664.
To find the highest common factor of 444,753,648, we have to find the factors of both numbers and list the highest common factor.
The factors of 444 are 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
The factors of 753 are 1, 3, 251, 753
The factors of 648 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
The HCF of 444,753,648 is 3.
Lets's calculate GCF of 444,753,648
| 3 | 444, 753, 648 |
| 148, 251, 216 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 444,753,648 By Matching Biggest Common Factor Method
Now, list down the factors of 444
:1,2,3,4,6,12,37,74,111,148,222,444
Now, list down the factors of 753
:1,3,251,753
Now, list down the factors of 648
:1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648
Greatest Common Factor
We found the factors 444,753,648 . The biggest common factor number is the GCF number.
So the greatest common factor 444,753,648 is 3.
Lets's calculate LCM of 384,582,344
| 2 | 384, 582, 344 |
| 2 | 192, 291, 172 |
| 2 | 96, 291, 86 |
| 3 | 48, 291, 43 |
| 16, 97, 43 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 16 x 97 x 43 = 1601664
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1601664
Therefore, the GCF of Fractions 444/384,753/582,648/344 is 3/1601664
Least Common Multiple of 384,582,344 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 384,582,344 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(384,582,344) = 2
common factors(in case of two or more numbers have common factors) = 24
GCF(384,582,344) x common factors =2 x 24 = 48
LCM(384,582,344) = ( 384 × 582 × 344 ) / 48
LCM(384,582,344) = 76879872 / 48
LCM(384,582,344) = 1601664
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FAQs on GCF of Fractions of 444/384, 753/582, 648/344
1. What is the HCF of 444,753,648?
The HCF of 444,753,648 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 444/384, 753/582, 648/344?
Answer: GCF of Numerators as per given numbers 444/384, 753/582, 648/344 is
GCF of Numerators i.e. for 444,753,648 is 3
LCM of denominators i.e. for 384,582,344 is 1601664.
Thus, GCF of Fractions is 3/1601664.Finally, GCF of Fractions for 444/384, 753/582, 648/344 is 3/1601664.