GCF of 1200/471, 9660/215
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1200/471, 9660/215 i.e 60/101265 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1200/471, 9660/215.
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 1200/471,9660/215?
Given fractions are 1200/471,9660/215
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 1200/471,9660/215, numerators are 1200,9660
Denominators are 471,215
The GCF of 1200,9660 is 60 .
LCM of 471,215 is 101265.
The greatest common factor of 1200/471,9660/215 = [GCF of 1200,9660]/[LCM of 471,215]= 60/101265
Therefore, the GCF of 1200/471,9660/215 is 60/101265.
To find the highest common factor of 1200,9660, we have to find the factors of both numbers and list the highest common factor.
The factors of 1200 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 150, 200, 240, 300, 400, 600, 1200
The factors of 9660 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 23, 28, 30, 35, 42, 46, 60, 69, 70, 84, 92, 105, 115, 138, 140, 161, 210, 230, 276, 322, 345, 420, 460, 483, 644, 690, 805, 966, 1380, 1610, 1932, 2415, 3220, 4830, 9660
The HCF of 1200,9660 is 60.
Lets's calculate GCF of 1200,9660
| 2 | 1200, 9660 |
| 2 | 600, 4830 |
| 3 | 300, 2415 |
| 5 | 100, 805 |
| 20, 161 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 5 = 60
Greatest Common Factor of 1200,9660 By Matching Biggest Common Factor Method
Now, list down the factors of 1200
:1,2,3,4,5,6,8,10,12,15,16,20,24,25,30,40,48,50,60,75,80,100,120,150,200,240,300,400,600,1200
Now, list down the factors of 9660
:1,2,3,4,5,6,7,10,12,14,15,20,21,23,28,30,35,42,46,60,69,70,84,92,105,115,138,140,161,210,230,276,322,345,420,460,483,644,690,805,966,1380,1610,1932,2415,3220,4830,9660
Greatest Common Factor
We found the factors 1200,9660 . The biggest common factor number is the GCF number.
So the greatest common factor 1200,9660 is 60.
Lets's calculate LCM of 471,215
Given numbers has no common factors except 1. So, there LCM is their product i.e 101265
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 60/101265
Therefore, the GCF of Fractions 1200/471,9660/215 is 60/101265
Least Common Multiple of 471,215 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 471,215 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(471,215) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(471,215) x common factors =1 x 1 = 1
LCM(471,215) = ( 471 × 215 ) / 1
LCM(471,215) = 101265 / 1
LCM(471,215) = 101265
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FAQs on GCF of Fractions of 1200/471, 9660/215
1. What is the HCF of 1200,9660?
The HCF of 1200,9660 is 60
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 1200/471, 9660/215?
Answer: GCF of Numerators as per given numbers 1200/471, 9660/215 is
GCF of Numerators i.e. for 1200,9660 is 60
LCM of denominators i.e. for 471,215 is 101265.
Thus, GCF of Fractions is 60/101265.Finally, GCF of Fractions for 1200/471, 9660/215 is 60/101265.