GCF of 7593/317, 8064/3215
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7593/317, 8064/3215 i.e 3/1019155 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7593/317, 8064/3215.
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 7593/317,8064/3215?
Given fractions are 7593/317,8064/3215
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 7593/317,8064/3215, numerators are 7593,8064
Denominators are 317,3215
The GCF of 7593,8064 is 3 .
LCM of 317,3215 is 1019155.
The greatest common factor of 7593/317,8064/3215 = [GCF of 7593,8064]/[LCM of 317,3215]= 3/1019155
Therefore, the GCF of 7593/317,8064/3215 is 3/1019155.
To find the highest common factor of 7593,8064, we have to find the factors of both numbers and list the highest common factor.
The factors of 7593 are 1, 3, 2531, 7593
The factors of 8064 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 56, 63, 64, 72, 84, 96, 112, 126, 128, 144, 168, 192, 224, 252, 288, 336, 384, 448, 504, 576, 672, 896, 1008, 1152, 1344, 2016, 2688, 4032, 8064
The HCF of 7593,8064 is 3.
Lets's calculate GCF of 7593,8064
| 3 | 7593, 8064 |
| 2531, 2688 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7593,8064 By Matching Biggest Common Factor Method
Now, list down the factors of 7593
:1,3,2531,7593
Now, list down the factors of 8064
:1,2,3,4,6,7,8,9,12,14,16,18,21,24,28,32,36,42,48,56,63,64,72,84,96,112,126,128,144,168,192,224,252,288,336,384,448,504,576,672,896,1008,1152,1344,2016,2688,4032,8064
Greatest Common Factor
We found the factors 7593,8064 . The biggest common factor number is the GCF number.
So the greatest common factor 7593,8064 is 3.
Lets's calculate LCM of 317,3215
Given numbers has no common factors except 1. So, there LCM is their product i.e 1019155
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1019155
Therefore, the GCF of Fractions 7593/317,8064/3215 is 3/1019155
Least Common Multiple of 317,3215 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 317,3215 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(317,3215) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(317,3215) x common factors =1 x 1 = 1
LCM(317,3215) = ( 317 × 3215 ) / 1
LCM(317,3215) = 1019155 / 1
LCM(317,3215) = 1019155
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FAQs on GCF of Fractions of 7593/317, 8064/3215
1. What is the HCF of 7593,8064?
The HCF of 7593,8064 is 3
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 7593/317, 8064/3215?
Answer: GCF of Numerators as per given numbers 7593/317, 8064/3215 is
GCF of Numerators i.e. for 7593,8064 is 3
LCM of denominators i.e. for 317,3215 is 1019155.
Thus, GCF of Fractions is 3/1019155.Finally, GCF of Fractions for 7593/317, 8064/3215 is 3/1019155.