GCF of 6819/303, 8165/1261
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6819/303, 8165/1261 i.e 1/382083 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6819/303, 8165/1261.
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 6819/303,8165/1261?
Given fractions are 6819/303,8165/1261
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 6819/303,8165/1261, numerators are 6819,8165
Denominators are 303,1261
The GCF of 6819,8165 is 1 .
LCM of 303,1261 is 382083.
The greatest common factor of 6819/303,8165/1261 = [GCF of 6819,8165]/[LCM of 303,1261]= 1/382083
Therefore, the GCF of 6819/303,8165/1261 is 1/382083.
To find the highest common factor of 6819,8165, we have to find the factors of both numbers and list the highest common factor.
The factors of 6819 are 1, 3, 2273, 6819
The factors of 8165 are 1, 5, 23, 71, 115, 355, 1633, 8165
The HCF of 6819,8165 is 1.
Lets's calculate GCF of 6819,8165
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6819,8165 By Matching Biggest Common Factor Method
Now, list down the factors of 6819
:1,3,2273,6819
Now, list down the factors of 8165
:1,5,23,71,115,355,1633,8165
Greatest Common Factor
We found the factors 6819,8165 . The biggest common factor number is the GCF number.
So the greatest common factor 6819,8165 is 1.
Lets's calculate LCM of 303,1261
Given numbers has no common factors except 1. So, there LCM is their product i.e 382083
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/382083
Therefore, the GCF of Fractions 6819/303,8165/1261 is 1/382083
Least Common Multiple of 303,1261 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 303,1261 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(303,1261) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(303,1261) x common factors =1 x 1 = 1
LCM(303,1261) = ( 303 × 1261 ) / 1
LCM(303,1261) = 382083 / 1
LCM(303,1261) = 382083
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FAQs on GCF of Fractions of 6819/303, 8165/1261
1. What is the HCF of 6819,8165?
The HCF of 6819,8165 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 6819/303, 8165/1261?
Answer: GCF of Numerators as per given numbers 6819/303, 8165/1261 is
GCF of Numerators i.e. for 6819,8165 is 1
LCM of denominators i.e. for 303,1261 is 382083.
Thus, GCF of Fractions is 1/382083.Finally, GCF of Fractions for 6819/303, 8165/1261 is 1/382083.