GCF of 9583/517, 8190/844
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9583/517, 8190/844 i.e 7/436348 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9583/517, 8190/844.
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 9583/517,8190/844?
Given fractions are 9583/517,8190/844
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 9583/517,8190/844, numerators are 9583,8190
Denominators are 517,844
The GCF of 9583,8190 is 7 .
LCM of 517,844 is 436348.
The greatest common factor of 9583/517,8190/844 = [GCF of 9583,8190]/[LCM of 517,844]= 7/436348
Therefore, the GCF of 9583/517,8190/844 is 7/436348.
To find the highest common factor of 9583,8190, we have to find the factors of both numbers and list the highest common factor.
The factors of 9583 are 1, 7, 37, 259, 1369, 9583
The factors of 8190 are 1, 2, 3, 5, 6, 7, 9, 10, 13, 14, 15, 18, 21, 26, 30, 35, 39, 42, 45, 63, 65, 70, 78, 90, 91, 105, 117, 126, 130, 182, 195, 210, 234, 273, 315, 390, 455, 546, 585, 630, 819, 910, 1170, 1365, 1638, 2730, 4095, 8190
The HCF of 9583,8190 is 7.
Lets's calculate GCF of 9583,8190
| 7 | 9583, 8190 |
| 1369, 1170 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 9583,8190 By Matching Biggest Common Factor Method
Now, list down the factors of 9583
:1,7,37,259,1369,9583
Now, list down the factors of 8190
:1,2,3,5,6,7,9,10,13,14,15,18,21,26,30,35,39,42,45,63,65,70,78,90,91,105,117,126,130,182,195,210,234,273,315,390,455,546,585,630,819,910,1170,1365,1638,2730,4095,8190
Greatest Common Factor
We found the factors 9583,8190 . The biggest common factor number is the GCF number.
So the greatest common factor 9583,8190 is 7.
Lets's calculate LCM of 517,844
Given numbers has no common factors except 1. So, there LCM is their product i.e 436348
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/436348
Therefore, the GCF of Fractions 9583/517,8190/844 is 7/436348
Least Common Multiple of 517,844 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 517,844 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(517,844) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(517,844) x common factors =1 x 1 = 1
LCM(517,844) = ( 517 × 844 ) / 1
LCM(517,844) = 436348 / 1
LCM(517,844) = 436348
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FAQs on GCF of Fractions of 9583/517, 8190/844
1. What is the HCF of 9583,8190?
The HCF of 9583,8190 is 7
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 9583/517, 8190/844?
Answer: GCF of Numerators as per given numbers 9583/517, 8190/844 is
GCF of Numerators i.e. for 9583,8190 is 7
LCM of denominators i.e. for 517,844 is 436348.
Thus, GCF of Fractions is 7/436348.Finally, GCF of Fractions for 9583/517, 8190/844 is 7/436348.