GCF of 8993/682, 5863/1769
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8993/682, 5863/1769 i.e 1/1206458 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8993/682, 5863/1769.
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 8993/682,5863/1769?
Given fractions are 8993/682,5863/1769
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 8993/682,5863/1769, numerators are 8993,5863
Denominators are 682,1769
The GCF of 8993,5863 is 1 .
LCM of 682,1769 is 1206458.
The greatest common factor of 8993/682,5863/1769 = [GCF of 8993,5863]/[LCM of 682,1769]= 1/1206458
Therefore, the GCF of 8993/682,5863/1769 is 1/1206458.
To find the highest common factor of 8993,5863, we have to find the factors of both numbers and list the highest common factor.
The factors of 8993 are 1, 17, 23, 391, 529, 8993
The factors of 5863 are 1, 11, 13, 41, 143, 451, 533, 5863
The HCF of 8993,5863 is 1.
Lets's calculate GCF of 8993,5863
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8993,5863 By Matching Biggest Common Factor Method
Now, list down the factors of 8993
:1,17,23,391,529,8993
Now, list down the factors of 5863
:1,11,13,41,143,451,533,5863
Greatest Common Factor
We found the factors 8993,5863 . The biggest common factor number is the GCF number.
So the greatest common factor 8993,5863 is 1.
Lets's calculate LCM of 682,1769
Given numbers has no common factors except 1. So, there LCM is their product i.e 1206458
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1206458
Therefore, the GCF of Fractions 8993/682,5863/1769 is 1/1206458
Least Common Multiple of 682,1769 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 682,1769 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(682,1769) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(682,1769) x common factors =1 x 1 = 1
LCM(682,1769) = ( 682 × 1769 ) / 1
LCM(682,1769) = 1206458 / 1
LCM(682,1769) = 1206458
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FAQs on GCF of Fractions of 8993/682, 5863/1769
1. What is the HCF of 8993,5863?
The HCF of 8993,5863 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 8993/682, 5863/1769?
Answer: GCF of Numerators as per given numbers 8993/682, 5863/1769 is
GCF of Numerators i.e. for 8993,5863 is 1
LCM of denominators i.e. for 682,1769 is 1206458.
Thus, GCF of Fractions is 1/1206458.Finally, GCF of Fractions for 8993/682, 5863/1769 is 1/1206458.