GCF of 322/580, 9393/512
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 322/580, 9393/512 i.e 1/74240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 322/580, 9393/512.
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 322/580,9393/512?
Given fractions are 322/580,9393/512
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 322/580,9393/512, numerators are 322,9393
Denominators are 580,512
The GCF of 322,9393 is 1 .
LCM of 580,512 is 74240.
The greatest common factor of 322/580,9393/512 = [GCF of 322,9393]/[LCM of 580,512]= 1/74240
Therefore, the GCF of 322/580,9393/512 is 1/74240.
To find the highest common factor of 322,9393, we have to find the factors of both numbers and list the highest common factor.
The factors of 322 are 1, 2, 7, 14, 23, 46, 161, 322
The factors of 9393 are 1, 3, 31, 93, 101, 303, 3131, 9393
The HCF of 322,9393 is 1.
Lets's calculate GCF of 322,9393
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 322,9393 By Matching Biggest Common Factor Method
Now, list down the factors of 322
:1,2,7,14,23,46,161,322
Now, list down the factors of 9393
:1,3,31,93,101,303,3131,9393
Greatest Common Factor
We found the factors 322,9393 . The biggest common factor number is the GCF number.
So the greatest common factor 322,9393 is 1.
Lets's calculate LCM of 580,512
| 2 | 580, 512 |
| 2 | 290, 256 |
| 145, 128 |
∴ So the LCM of the given numbers is 2 x 2 x 145 x 128 = 74240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/74240
Therefore, the GCF of Fractions 322/580,9393/512 is 1/74240
Least Common Multiple of 580,512 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 580,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(580,512) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(580,512) x common factors =4 x 1 = 4
LCM(580,512) = ( 580 × 512 ) / 4
LCM(580,512) = 296960 / 4
LCM(580,512) = 74240
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FAQs on GCF of Fractions of 322/580, 9393/512
1. What is the HCF of 322,9393?
The HCF of 322,9393 is 1
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 322/580, 9393/512?
Answer: GCF of Numerators as per given numbers 322/580, 9393/512 is
GCF of Numerators i.e. for 322,9393 is 1
LCM of denominators i.e. for 580,512 is 74240.
Thus, GCF of Fractions is 1/74240.Finally, GCF of Fractions for 322/580, 9393/512 is 1/74240.