GCF of 8084/234, 7082/2191
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8084/234, 7082/2191 i.e 2/512694 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8084/234, 7082/2191.
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 8084/234,7082/2191?
Given fractions are 8084/234,7082/2191
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 8084/234,7082/2191, numerators are 8084,7082
Denominators are 234,2191
The GCF of 8084,7082 is 2 .
LCM of 234,2191 is 512694.
The greatest common factor of 8084/234,7082/2191 = [GCF of 8084,7082]/[LCM of 234,2191]= 2/512694
Therefore, the GCF of 8084/234,7082/2191 is 2/512694.
To find the highest common factor of 8084,7082, we have to find the factors of both numbers and list the highest common factor.
The factors of 8084 are 1, 2, 4, 43, 47, 86, 94, 172, 188, 2021, 4042, 8084
The factors of 7082 are 1, 2, 3541, 7082
The HCF of 8084,7082 is 2.
Lets's calculate GCF of 8084,7082
| 2 | 8084, 7082 |
| 4042, 3541 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8084,7082 By Matching Biggest Common Factor Method
Now, list down the factors of 8084
:1,2,4,43,47,86,94,172,188,2021,4042,8084
Now, list down the factors of 7082
:1,2,3541,7082
Greatest Common Factor
We found the factors 8084,7082 . The biggest common factor number is the GCF number.
So the greatest common factor 8084,7082 is 2.
Lets's calculate LCM of 234,2191
Given numbers has no common factors except 1. So, there LCM is their product i.e 512694
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/512694
Therefore, the GCF of Fractions 8084/234,7082/2191 is 2/512694
Least Common Multiple of 234,2191 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 234,2191 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(234,2191) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(234,2191) x common factors =1 x 1 = 1
LCM(234,2191) = ( 234 × 2191 ) / 1
LCM(234,2191) = 512694 / 1
LCM(234,2191) = 512694
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FAQs on GCF of Fractions of 8084/234, 7082/2191
1. What is the HCF of 8084,7082?
The HCF of 8084,7082 is 2
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 8084/234, 7082/2191?
Answer: GCF of Numerators as per given numbers 8084/234, 7082/2191 is
GCF of Numerators i.e. for 8084,7082 is 2
LCM of denominators i.e. for 234,2191 is 512694.
Thus, GCF of Fractions is 2/512694.Finally, GCF of Fractions for 8084/234, 7082/2191 is 2/512694.