GCF of 3216/335, 2230/320
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3216/335, 2230/320 i.e 2/21440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3216/335, 2230/320.
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 3216/335,2230/320?
Given fractions are 3216/335,2230/320
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 3216/335,2230/320, numerators are 3216,2230
Denominators are 335,320
The GCF of 3216,2230 is 2 .
LCM of 335,320 is 21440.
The greatest common factor of 3216/335,2230/320 = [GCF of 3216,2230]/[LCM of 335,320]= 2/21440
Therefore, the GCF of 3216/335,2230/320 is 2/21440.
To find the highest common factor of 3216,2230, we have to find the factors of both numbers and list the highest common factor.
The factors of 3216 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 67, 134, 201, 268, 402, 536, 804, 1072, 1608, 3216
The factors of 2230 are 1, 2, 5, 10, 223, 446, 1115, 2230
The HCF of 3216,2230 is 2.
Lets's calculate GCF of 3216,2230
| 2 | 3216, 2230 |
| 1608, 1115 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3216,2230 By Matching Biggest Common Factor Method
Now, list down the factors of 3216
:1,2,3,4,6,8,12,16,24,48,67,134,201,268,402,536,804,1072,1608,3216
Now, list down the factors of 2230
:1,2,5,10,223,446,1115,2230
Greatest Common Factor
We found the factors 3216,2230 . The biggest common factor number is the GCF number.
So the greatest common factor 3216,2230 is 2.
Lets's calculate LCM of 335,320
| 5 | 335, 320 |
| 67, 64 |
∴ So the LCM of the given numbers is 5 x 67 x 64 = 21440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/21440
Therefore, the GCF of Fractions 3216/335,2230/320 is 2/21440
Least Common Multiple of 335,320 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 335,320 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(335,320) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(335,320) x common factors =5 x 1 = 5
LCM(335,320) = ( 335 × 320 ) / 5
LCM(335,320) = 107200 / 5
LCM(335,320) = 21440
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FAQs on GCF of Fractions of 3216/335, 2230/320
1. What is the HCF of 3216,2230?
The HCF of 3216,2230 is 2
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 3216/335, 2230/320?
Answer: GCF of Numerators as per given numbers 3216/335, 2230/320 is
GCF of Numerators i.e. for 3216,2230 is 2
LCM of denominators i.e. for 335,320 is 21440.
Thus, GCF of Fractions is 2/21440.Finally, GCF of Fractions for 3216/335, 2230/320 is 2/21440.