GCF of 5472/319, 4080/1725
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5472/319, 4080/1725 i.e 48/550275 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5472/319, 4080/1725.
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 5472/319,4080/1725?
Given fractions are 5472/319,4080/1725
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 5472/319,4080/1725, numerators are 5472,4080
Denominators are 319,1725
The GCF of 5472,4080 is 48 .
LCM of 319,1725 is 550275.
The greatest common factor of 5472/319,4080/1725 = [GCF of 5472,4080]/[LCM of 319,1725]= 48/550275
Therefore, the GCF of 5472/319,4080/1725 is 48/550275.
To find the highest common factor of 5472,4080, we have to find the factors of both numbers and list the highest common factor.
The factors of 5472 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 19, 24, 32, 36, 38, 48, 57, 72, 76, 96, 114, 144, 152, 171, 228, 288, 304, 342, 456, 608, 684, 912, 1368, 1824, 2736, 5472
The factors of 4080 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 17, 20, 24, 30, 34, 40, 48, 51, 60, 68, 80, 85, 102, 120, 136, 170, 204, 240, 255, 272, 340, 408, 510, 680, 816, 1020, 1360, 2040, 4080
The HCF of 5472,4080 is 48.
Lets's calculate GCF of 5472,4080
| 2 | 5472, 4080 |
| 2 | 2736, 2040 |
| 2 | 1368, 1020 |
| 2 | 684, 510 |
| 3 | 342, 255 |
| 114, 85 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 3 = 48
Greatest Common Factor of 5472,4080 By Matching Biggest Common Factor Method
Now, list down the factors of 5472
:1,2,3,4,6,8,9,12,16,18,19,24,32,36,38,48,57,72,76,96,114,144,152,171,228,288,304,342,456,608,684,912,1368,1824,2736,5472
Now, list down the factors of 4080
:1,2,3,4,5,6,8,10,12,15,16,17,20,24,30,34,40,48,51,60,68,80,85,102,120,136,170,204,240,255,272,340,408,510,680,816,1020,1360,2040,4080
Greatest Common Factor
We found the factors 5472,4080 . The biggest common factor number is the GCF number.
So the greatest common factor 5472,4080 is 48.
Lets's calculate LCM of 319,1725
Given numbers has no common factors except 1. So, there LCM is their product i.e 550275
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 48/550275
Therefore, the GCF of Fractions 5472/319,4080/1725 is 48/550275
Least Common Multiple of 319,1725 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 319,1725 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(319,1725) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(319,1725) x common factors =1 x 1 = 1
LCM(319,1725) = ( 319 × 1725 ) / 1
LCM(319,1725) = 550275 / 1
LCM(319,1725) = 550275
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FAQs on GCF of Fractions of 5472/319, 4080/1725
1. What is the HCF of 5472,4080?
The HCF of 5472,4080 is 48
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 5472/319, 4080/1725?
Answer: GCF of Numerators as per given numbers 5472/319, 4080/1725 is
GCF of Numerators i.e. for 5472,4080 is 48
LCM of denominators i.e. for 319,1725 is 550275.
Thus, GCF of Fractions is 48/550275.Finally, GCF of Fractions for 5472/319, 4080/1725 is 48/550275.