GCF of 5280/153, 3444/669
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5280/153, 3444/669 i.e 12/34119 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5280/153, 3444/669.
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 5280/153,3444/669?
Given fractions are 5280/153,3444/669
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 5280/153,3444/669, numerators are 5280,3444
Denominators are 153,669
The GCF of 5280,3444 is 12 .
LCM of 153,669 is 34119.
The greatest common factor of 5280/153,3444/669 = [GCF of 5280,3444]/[LCM of 153,669]= 12/34119
Therefore, the GCF of 5280/153,3444/669 is 12/34119.
To find the highest common factor of 5280,3444, we have to find the factors of both numbers and list the highest common factor.
The factors of 5280 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 20, 22, 24, 30, 32, 33, 40, 44, 48, 55, 60, 66, 80, 88, 96, 110, 120, 132, 160, 165, 176, 220, 240, 264, 330, 352, 440, 480, 528, 660, 880, 1056, 1320, 1760, 2640, 5280
The factors of 3444 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 41, 42, 82, 84, 123, 164, 246, 287, 492, 574, 861, 1148, 1722, 3444
The HCF of 5280,3444 is 12.
Lets's calculate GCF of 5280,3444
| 2 | 5280, 3444 |
| 2 | 2640, 1722 |
| 3 | 1320, 861 |
| 440, 287 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 5280,3444 By Matching Biggest Common Factor Method
Now, list down the factors of 5280
:1,2,3,4,5,6,8,10,11,12,15,16,20,22,24,30,32,33,40,44,48,55,60,66,80,88,96,110,120,132,160,165,176,220,240,264,330,352,440,480,528,660,880,1056,1320,1760,2640,5280
Now, list down the factors of 3444
:1,2,3,4,6,7,12,14,21,28,41,42,82,84,123,164,246,287,492,574,861,1148,1722,3444
Greatest Common Factor
We found the factors 5280,3444 . The biggest common factor number is the GCF number.
So the greatest common factor 5280,3444 is 12.
Lets's calculate LCM of 153,669
| 3 | 153, 669 |
| 51, 223 |
∴ So the LCM of the given numbers is 3 x 51 x 223 = 34119
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/34119
Therefore, the GCF of Fractions 5280/153,3444/669 is 12/34119
Least Common Multiple of 153,669 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 153,669 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(153,669) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(153,669) x common factors =3 x 1 = 3
LCM(153,669) = ( 153 × 669 ) / 3
LCM(153,669) = 102357 / 3
LCM(153,669) = 34119
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FAQs on GCF of Fractions of 5280/153, 3444/669
1. What is the HCF of 5280,3444?
The HCF of 5280,3444 is 12
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 5280/153, 3444/669?
Answer: GCF of Numerators as per given numbers 5280/153, 3444/669 is
GCF of Numerators i.e. for 5280,3444 is 12
LCM of denominators i.e. for 153,669 is 34119.
Thus, GCF of Fractions is 12/34119.Finally, GCF of Fractions for 5280/153, 3444/669 is 12/34119.