GCF of 620/16, 360/1728
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 620/16, 360/1728 i.e 20/1728 easily. The following is the detailed procedure to determine the greatest common factor of fractions 620/16, 360/1728.
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 620/16,360/1728?
Given fractions are 620/16,360/1728
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 620/16,360/1728, numerators are 620,360
Denominators are 16,1728
The GCF of 620,360 is 20 .
LCM of 16,1728 is 1728.
The greatest common factor of 620/16,360/1728 = [GCF of 620,360]/[LCM of 16,1728]= 20/1728
Therefore, the GCF of 620/16,360/1728 is 20/1728.
To find the highest common factor of 620,360, we have to find the factors of both numbers and list the highest common factor.
The factors of 620 are 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
The factors of 360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
The HCF of 620,360 is 20.
Lets's calculate GCF of 620,360
| 2 | 620, 360 |
| 2 | 310, 180 |
| 5 | 155, 90 |
| 31, 18 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 620,360 By Matching Biggest Common Factor Method
Now, list down the factors of 620
:1,2,4,5,10,20,31,62,124,155,310,620
Now, list down the factors of 360
:1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360
Greatest Common Factor
We found the factors 620,360 . The biggest common factor number is the GCF number.
So the greatest common factor 620,360 is 20.
Lets's calculate LCM of 16,1728
| 2 | 16, 1728 |
| 2 | 8, 864 |
| 2 | 4, 432 |
| 2 | 2, 216 |
| 1, 108 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 1 x 108 = 1728
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/1728
Therefore, the GCF of Fractions 620/16,360/1728 is 20/1728
Least Common Multiple of 16,1728 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 16,1728 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,1728) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(16,1728) x common factors =16 x 1 = 16
LCM(16,1728) = ( 16 × 1728 ) / 16
LCM(16,1728) = 27648 / 16
LCM(16,1728) = 1728
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FAQs on GCF of Fractions of 620/16, 360/1728
1. What is the HCF of 620,360?
The HCF of 620,360 is 20
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 620/16, 360/1728?
Answer: GCF of Numerators as per given numbers 620/16, 360/1728 is
GCF of Numerators i.e. for 620,360 is 20
LCM of denominators i.e. for 16,1728 is 1728.
Thus, GCF of Fractions is 20/1728.Finally, GCF of Fractions for 620/16, 360/1728 is 20/1728.