GCF of 3216/654, 4336/3223
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3216/654, 4336/3223 i.e 16/2107842 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3216/654, 4336/3223.
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 3216/654,4336/3223?
Given fractions are 3216/654,4336/3223
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 3216/654,4336/3223, numerators are 3216,4336
Denominators are 654,3223
The GCF of 3216,4336 is 16 .
LCM of 654,3223 is 2107842.
The greatest common factor of 3216/654,4336/3223 = [GCF of 3216,4336]/[LCM of 654,3223]= 16/2107842
Therefore, the GCF of 3216/654,4336/3223 is 16/2107842.
To find the highest common factor of 3216,4336, 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 4336 are 1, 2, 4, 8, 16, 271, 542, 1084, 2168, 4336
The HCF of 3216,4336 is 16.
Lets's calculate GCF of 3216,4336
| 2 | 3216, 4336 |
| 2 | 1608, 2168 |
| 2 | 804, 1084 |
| 2 | 402, 542 |
| 201, 271 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 3216,4336 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 4336
:1,2,4,8,16,271,542,1084,2168,4336
Greatest Common Factor
We found the factors 3216,4336 . The biggest common factor number is the GCF number.
So the greatest common factor 3216,4336 is 16.
Lets's calculate LCM of 654,3223
Given numbers has no common factors except 1. So, there LCM is their product i.e 2107842
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/2107842
Therefore, the GCF of Fractions 3216/654,4336/3223 is 16/2107842
Least Common Multiple of 654,3223 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 654,3223 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(654,3223) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(654,3223) x common factors =1 x 1 = 1
LCM(654,3223) = ( 654 × 3223 ) / 1
LCM(654,3223) = 2107842 / 1
LCM(654,3223) = 2107842
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FAQs on GCF of Fractions of 3216/654, 4336/3223
1. What is the HCF of 3216,4336?
The HCF of 3216,4336 is 16
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 3216/654, 4336/3223?
Answer: GCF of Numerators as per given numbers 3216/654, 4336/3223 is
GCF of Numerators i.e. for 3216,4336 is 16
LCM of denominators i.e. for 654,3223 is 2107842.
Thus, GCF of Fractions is 16/2107842.Finally, GCF of Fractions for 3216/654, 4336/3223 is 16/2107842.