GCF of 8143/993, 9570/5844
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8143/993, 9570/5844 i.e 1/1934364 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8143/993, 9570/5844.
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 8143/993,9570/5844?
Given fractions are 8143/993,9570/5844
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 8143/993,9570/5844, numerators are 8143,9570
Denominators are 993,5844
The GCF of 8143,9570 is 1 .
LCM of 993,5844 is 1934364.
The greatest common factor of 8143/993,9570/5844 = [GCF of 8143,9570]/[LCM of 993,5844]= 1/1934364
Therefore, the GCF of 8143/993,9570/5844 is 1/1934364.
To find the highest common factor of 8143,9570, we have to find the factors of both numbers and list the highest common factor.
The factors of 8143 are 1, 17, 479, 8143
The factors of 9570 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 29, 30, 33, 55, 58, 66, 87, 110, 145, 165, 174, 290, 319, 330, 435, 638, 870, 957, 1595, 1914, 3190, 4785, 9570
The HCF of 8143,9570 is 1.
Lets's calculate GCF of 8143,9570
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8143,9570 By Matching Biggest Common Factor Method
Now, list down the factors of 8143
:1,17,479,8143
Now, list down the factors of 9570
:1,2,3,5,6,10,11,15,22,29,30,33,55,58,66,87,110,145,165,174,290,319,330,435,638,870,957,1595,1914,3190,4785,9570
Greatest Common Factor
We found the factors 8143,9570 . The biggest common factor number is the GCF number.
So the greatest common factor 8143,9570 is 1.
Lets's calculate LCM of 993,5844
| 3 | 993, 5844 |
| 331, 1948 |
∴ So the LCM of the given numbers is 3 x 331 x 1948 = 1934364
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1934364
Therefore, the GCF of Fractions 8143/993,9570/5844 is 1/1934364
Least Common Multiple of 993,5844 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 993,5844 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(993,5844) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(993,5844) x common factors =3 x 1 = 3
LCM(993,5844) = ( 993 × 5844 ) / 3
LCM(993,5844) = 5803092 / 3
LCM(993,5844) = 1934364
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FAQs on GCF of Fractions of 8143/993, 9570/5844
1. What is the HCF of 8143,9570?
The HCF of 8143,9570 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 8143/993, 9570/5844?
Answer: GCF of Numerators as per given numbers 8143/993, 9570/5844 is
GCF of Numerators i.e. for 8143,9570 is 1
LCM of denominators i.e. for 993,5844 is 1934364.
Thus, GCF of Fractions is 1/1934364.Finally, GCF of Fractions for 8143/993, 9570/5844 is 1/1934364.