GCF of 444/33, 123/88, 480/16
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 444/33, 123/88, 480/16 i.e 3/528 easily. The following is the detailed procedure to determine the greatest common factor of fractions 444/33, 123/88, 480/16.
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 444/33,123/88,480/16?
Given fractions are 444/33,123/88,480/16
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 444/33,123/88,480/16, numerators are 444,123,480
Denominators are 33,88,16
The GCF of 444,123,480 is 3 .
LCM of 33,88,16 is 528.
The greatest common factor of 444/33,123/88,480/16 = [GCF of 444,123,480]/[LCM of 33,88,16]= 3/528
Therefore, the GCF of 444/33,123/88,480/16 is 3/528.
To find the highest common factor of 444,123,480, 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 123 are 1, 3, 41, 123
The factors of 480 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
The HCF of 444,123,480 is 3.
Lets's calculate GCF of 444,123,480
| 3 | 444, 123, 480 |
| 148, 41, 160 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 444,123,480 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 123
:1,3,41,123
Now, list down the factors of 480
:1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480
Greatest Common Factor
We found the factors 444,123,480 . The biggest common factor number is the GCF number.
So the greatest common factor 444,123,480 is 3.
Lets's calculate LCM of 33,88,16
| 2 | 33, 88, 16 |
| 2 | 33, 44, 8 |
| 2 | 33, 22, 4 |
| 11 | 33, 11, 2 |
| 3, 1, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 3 x 1 x 2 = 528
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/528
Therefore, the GCF of Fractions 444/33,123/88,480/16 is 3/528
Least Common Multiple of 33,88,16 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 33,88,16 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,88,16) = 1
common factors(in case of two or more numbers have common factors) = 88
GCF(33,88,16) x common factors =1 x 88 = 88
LCM(33,88,16) = ( 33 × 88 × 16 ) / 88
LCM(33,88,16) = 46464 / 88
LCM(33,88,16) = 528
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FAQs on GCF of Fractions of 444/33, 123/88, 480/16
1. What is the HCF of 444,123,480?
The HCF of 444,123,480 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 444/33, 123/88, 480/16?
Answer: GCF of Numerators as per given numbers 444/33, 123/88, 480/16 is
GCF of Numerators i.e. for 444,123,480 is 3
LCM of denominators i.e. for 33,88,16 is 528.
Thus, GCF of Fractions is 3/528.Finally, GCF of Fractions for 444/33, 123/88, 480/16 is 3/528.