GCF of 8641/273, 2834/1720
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8641/273, 2834/1720 i.e 1/469560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8641/273, 2834/1720.
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 8641/273,2834/1720?
Given fractions are 8641/273,2834/1720
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 8641/273,2834/1720, numerators are 8641,2834
Denominators are 273,1720
The GCF of 8641,2834 is 1 .
LCM of 273,1720 is 469560.
The greatest common factor of 8641/273,2834/1720 = [GCF of 8641,2834]/[LCM of 273,1720]= 1/469560
Therefore, the GCF of 8641/273,2834/1720 is 1/469560.
To find the highest common factor of 8641,2834, we have to find the factors of both numbers and list the highest common factor.
The factors of 8641 are 1, 8641
The factors of 2834 are 1, 2, 13, 26, 109, 218, 1417, 2834
The HCF of 8641,2834 is 1.
Lets's calculate GCF of 8641,2834
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8641,2834 By Matching Biggest Common Factor Method
Now, list down the factors of 8641
:1,8641
Now, list down the factors of 2834
:1,2,13,26,109,218,1417,2834
Greatest Common Factor
We found the factors 8641,2834 . The biggest common factor number is the GCF number.
So the greatest common factor 8641,2834 is 1.
Lets's calculate LCM of 273,1720
Given numbers has no common factors except 1. So, there LCM is their product i.e 469560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/469560
Therefore, the GCF of Fractions 8641/273,2834/1720 is 1/469560
Least Common Multiple of 273,1720 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 273,1720 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(273,1720) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(273,1720) x common factors =1 x 1 = 1
LCM(273,1720) = ( 273 × 1720 ) / 1
LCM(273,1720) = 469560 / 1
LCM(273,1720) = 469560
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FAQs on GCF of Fractions of 8641/273, 2834/1720
1. What is the HCF of 8641,2834?
The HCF of 8641,2834 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 8641/273, 2834/1720?
Answer: GCF of Numerators as per given numbers 8641/273, 2834/1720 is
GCF of Numerators i.e. for 8641,2834 is 1
LCM of denominators i.e. for 273,1720 is 469560.
Thus, GCF of Fractions is 1/469560.Finally, GCF of Fractions for 8641/273, 2834/1720 is 1/469560.