GCF of 3585/213, 7200/718
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3585/213, 7200/718 i.e 15/152934 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3585/213, 7200/718.
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 3585/213,7200/718?
Given fractions are 3585/213,7200/718
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 3585/213,7200/718, numerators are 3585,7200
Denominators are 213,718
The GCF of 3585,7200 is 15 .
LCM of 213,718 is 152934.
The greatest common factor of 3585/213,7200/718 = [GCF of 3585,7200]/[LCM of 213,718]= 15/152934
Therefore, the GCF of 3585/213,7200/718 is 15/152934.
To find the highest common factor of 3585,7200, we have to find the factors of both numbers and list the highest common factor.
The factors of 3585 are 1, 3, 5, 15, 239, 717, 1195, 3585
The factors of 7200 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 32, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 96, 100, 120, 144, 150, 160, 180, 200, 225, 240, 288, 300, 360, 400, 450, 480, 600, 720, 800, 900, 1200, 1440, 1800, 2400, 3600, 7200
The HCF of 3585,7200 is 15.
Lets's calculate GCF of 3585,7200
| 3 | 3585, 7200 |
| 5 | 1195, 2400 |
| 239, 480 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 3585,7200 By Matching Biggest Common Factor Method
Now, list down the factors of 3585
:1,3,5,15,239,717,1195,3585
Now, list down the factors of 7200
:1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,25,30,32,36,40,45,48,50,60,72,75,80,90,96,100,120,144,150,160,180,200,225,240,288,300,360,400,450,480,600,720,800,900,1200,1440,1800,2400,3600,7200
Greatest Common Factor
We found the factors 3585,7200 . The biggest common factor number is the GCF number.
So the greatest common factor 3585,7200 is 15.
Lets's calculate LCM of 213,718
Given numbers has no common factors except 1. So, there LCM is their product i.e 152934
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/152934
Therefore, the GCF of Fractions 3585/213,7200/718 is 15/152934
Least Common Multiple of 213,718 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 213,718 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(213,718) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(213,718) x common factors =1 x 1 = 1
LCM(213,718) = ( 213 × 718 ) / 1
LCM(213,718) = 152934 / 1
LCM(213,718) = 152934
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FAQs on GCF of Fractions of 3585/213, 7200/718
1. What is the HCF of 3585,7200?
The HCF of 3585,7200 is 15
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 3585/213, 7200/718?
Answer: GCF of Numerators as per given numbers 3585/213, 7200/718 is
GCF of Numerators i.e. for 3585,7200 is 15
LCM of denominators i.e. for 213,718 is 152934.
Thus, GCF of Fractions is 15/152934.Finally, GCF of Fractions for 3585/213, 7200/718 is 15/152934.