GCF of 2367/823, 8162/1856
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2367/823, 8162/1856 i.e 1/1527488 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2367/823, 8162/1856.
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 2367/823,8162/1856?
Given fractions are 2367/823,8162/1856
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 2367/823,8162/1856, numerators are 2367,8162
Denominators are 823,1856
The GCF of 2367,8162 is 1 .
LCM of 823,1856 is 1527488.
The greatest common factor of 2367/823,8162/1856 = [GCF of 2367,8162]/[LCM of 823,1856]= 1/1527488
Therefore, the GCF of 2367/823,8162/1856 is 1/1527488.
To find the highest common factor of 2367,8162, we have to find the factors of both numbers and list the highest common factor.
The factors of 2367 are 1, 3, 9, 263, 789, 2367
The factors of 8162 are 1, 2, 7, 11, 14, 22, 53, 77, 106, 154, 371, 583, 742, 1166, 4081, 8162
The HCF of 2367,8162 is 1.
Lets's calculate GCF of 2367,8162
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2367,8162 By Matching Biggest Common Factor Method
Now, list down the factors of 2367
:1,3,9,263,789,2367
Now, list down the factors of 8162
:1,2,7,11,14,22,53,77,106,154,371,583,742,1166,4081,8162
Greatest Common Factor
We found the factors 2367,8162 . The biggest common factor number is the GCF number.
So the greatest common factor 2367,8162 is 1.
Lets's calculate LCM of 823,1856
Given numbers has no common factors except 1. So, there LCM is their product i.e 1527488
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1527488
Therefore, the GCF of Fractions 2367/823,8162/1856 is 1/1527488
Least Common Multiple of 823,1856 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 823,1856 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(823,1856) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(823,1856) x common factors =1 x 1 = 1
LCM(823,1856) = ( 823 × 1856 ) / 1
LCM(823,1856) = 1527488 / 1
LCM(823,1856) = 1527488
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FAQs on GCF of Fractions of 2367/823, 8162/1856
1. What is the HCF of 2367,8162?
The HCF of 2367,8162 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 2367/823, 8162/1856?
Answer: GCF of Numerators as per given numbers 2367/823, 8162/1856 is
GCF of Numerators i.e. for 2367,8162 is 1
LCM of denominators i.e. for 823,1856 is 1527488.
Thus, GCF of Fractions is 1/1527488.Finally, GCF of Fractions for 2367/823, 8162/1856 is 1/1527488.