GCF of 2022/817, 8471/7992
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2022/817, 8471/7992 i.e 1/6529464 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2022/817, 8471/7992.
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 2022/817,8471/7992?
Given fractions are 2022/817,8471/7992
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 2022/817,8471/7992, numerators are 2022,8471
Denominators are 817,7992
The GCF of 2022,8471 is 1 .
LCM of 817,7992 is 6529464.
The greatest common factor of 2022/817,8471/7992 = [GCF of 2022,8471]/[LCM of 817,7992]= 1/6529464
Therefore, the GCF of 2022/817,8471/7992 is 1/6529464.
To find the highest common factor of 2022,8471, we have to find the factors of both numbers and list the highest common factor.
The factors of 2022 are 1, 2, 3, 6, 337, 674, 1011, 2022
The factors of 8471 are 1, 43, 197, 8471
The HCF of 2022,8471 is 1.
Lets's calculate GCF of 2022,8471
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2022,8471 By Matching Biggest Common Factor Method
Now, list down the factors of 2022
:1,2,3,6,337,674,1011,2022
Now, list down the factors of 8471
:1,43,197,8471
Greatest Common Factor
We found the factors 2022,8471 . The biggest common factor number is the GCF number.
So the greatest common factor 2022,8471 is 1.
Lets's calculate LCM of 817,7992
Given numbers has no common factors except 1. So, there LCM is their product i.e 6529464
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6529464
Therefore, the GCF of Fractions 2022/817,8471/7992 is 1/6529464
Least Common Multiple of 817,7992 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 817,7992 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(817,7992) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(817,7992) x common factors =1 x 1 = 1
LCM(817,7992) = ( 817 × 7992 ) / 1
LCM(817,7992) = 6529464 / 1
LCM(817,7992) = 6529464
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 2022/817, 8471/7992
1. What is the HCF of 2022,8471?
The HCF of 2022,8471 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 2022/817, 8471/7992?
Answer: GCF of Numerators as per given numbers 2022/817, 8471/7992 is
GCF of Numerators i.e. for 2022,8471 is 1
LCM of denominators i.e. for 817,7992 is 6529464.
Thus, GCF of Fractions is 1/6529464.Finally, GCF of Fractions for 2022/817, 8471/7992 is 1/6529464.