GCF of 2863/842, 2022/8313
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2863/842, 2022/8313 i.e 1/6999546 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2863/842, 2022/8313.
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 2863/842,2022/8313?
Given fractions are 2863/842,2022/8313
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 2863/842,2022/8313, numerators are 2863,2022
Denominators are 842,8313
The GCF of 2863,2022 is 1 .
LCM of 842,8313 is 6999546.
The greatest common factor of 2863/842,2022/8313 = [GCF of 2863,2022]/[LCM of 842,8313]= 1/6999546
Therefore, the GCF of 2863/842,2022/8313 is 1/6999546.
To find the highest common factor of 2863,2022, we have to find the factors of both numbers and list the highest common factor.
The factors of 2863 are 1, 7, 409, 2863
The factors of 2022 are 1, 2, 3, 6, 337, 674, 1011, 2022
The HCF of 2863,2022 is 1.
Lets's calculate GCF of 2863,2022
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2863,2022 By Matching Biggest Common Factor Method
Now, list down the factors of 2863
:1,7,409,2863
Now, list down the factors of 2022
:1,2,3,6,337,674,1011,2022
Greatest Common Factor
We found the factors 2863,2022 . The biggest common factor number is the GCF number.
So the greatest common factor 2863,2022 is 1.
Lets's calculate LCM of 842,8313
Given numbers has no common factors except 1. So, there LCM is their product i.e 6999546
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6999546
Therefore, the GCF of Fractions 2863/842,2022/8313 is 1/6999546
Least Common Multiple of 842,8313 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 842,8313 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(842,8313) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(842,8313) x common factors =1 x 1 = 1
LCM(842,8313) = ( 842 × 8313 ) / 1
LCM(842,8313) = 6999546 / 1
LCM(842,8313) = 6999546
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FAQs on GCF of Fractions of 2863/842, 2022/8313
1. What is the HCF of 2863,2022?
The HCF of 2863,2022 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 2863/842, 2022/8313?
Answer: GCF of Numerators as per given numbers 2863/842, 2022/8313 is
GCF of Numerators i.e. for 2863,2022 is 1
LCM of denominators i.e. for 842,8313 is 6999546.
Thus, GCF of Fractions is 1/6999546.Finally, GCF of Fractions for 2863/842, 2022/8313 is 1/6999546.