GCF of 8282/595, 2165/5377
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8282/595, 2165/5377 i.e 1/3199315 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8282/595, 2165/5377.
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 8282/595,2165/5377?
Given fractions are 8282/595,2165/5377
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 8282/595,2165/5377, numerators are 8282,2165
Denominators are 595,5377
The GCF of 8282,2165 is 1 .
LCM of 595,5377 is 3199315.
The greatest common factor of 8282/595,2165/5377 = [GCF of 8282,2165]/[LCM of 595,5377]= 1/3199315
Therefore, the GCF of 8282/595,2165/5377 is 1/3199315.
To find the highest common factor of 8282,2165, we have to find the factors of both numbers and list the highest common factor.
The factors of 8282 are 1, 2, 41, 82, 101, 202, 4141, 8282
The factors of 2165 are 1, 5, 433, 2165
The HCF of 8282,2165 is 1.
Lets's calculate GCF of 8282,2165
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8282,2165 By Matching Biggest Common Factor Method
Now, list down the factors of 8282
:1,2,41,82,101,202,4141,8282
Now, list down the factors of 2165
:1,5,433,2165
Greatest Common Factor
We found the factors 8282,2165 . The biggest common factor number is the GCF number.
So the greatest common factor 8282,2165 is 1.
Lets's calculate LCM of 595,5377
Given numbers has no common factors except 1. So, there LCM is their product i.e 3199315
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3199315
Therefore, the GCF of Fractions 8282/595,2165/5377 is 1/3199315
Least Common Multiple of 595,5377 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 595,5377 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(595,5377) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(595,5377) x common factors =1 x 1 = 1
LCM(595,5377) = ( 595 × 5377 ) / 1
LCM(595,5377) = 3199315 / 1
LCM(595,5377) = 3199315
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FAQs on GCF of Fractions of 8282/595, 2165/5377
1. What is the HCF of 8282,2165?
The HCF of 8282,2165 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 8282/595, 2165/5377?
Answer: GCF of Numerators as per given numbers 8282/595, 2165/5377 is
GCF of Numerators i.e. for 8282,2165 is 1
LCM of denominators i.e. for 595,5377 is 3199315.
Thus, GCF of Fractions is 1/3199315.Finally, GCF of Fractions for 8282/595, 2165/5377 is 1/3199315.