GCF of 814/19, 923/369
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 814/19, 923/369 i.e 1/7011 easily. The following is the detailed procedure to determine the greatest common factor of fractions 814/19, 923/369.
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 814/19,923/369?
Given fractions are 814/19,923/369
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 814/19,923/369, numerators are 814,923
Denominators are 19,369
The GCF of 814,923 is 1 .
LCM of 19,369 is 7011.
The greatest common factor of 814/19,923/369 = [GCF of 814,923]/[LCM of 19,369]= 1/7011
Therefore, the GCF of 814/19,923/369 is 1/7011.
To find the highest common factor of 814,923, we have to find the factors of both numbers and list the highest common factor.
The factors of 814 are 1, 2, 11, 22, 37, 74, 407, 814
The factors of 923 are 1, 13, 71, 923
The HCF of 814,923 is 1.
Lets's calculate GCF of 814,923
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 814,923 By Matching Biggest Common Factor Method
Now, list down the factors of 814
:1,2,11,22,37,74,407,814
Now, list down the factors of 923
:1,13,71,923
Greatest Common Factor
We found the factors 814,923 . The biggest common factor number is the GCF number.
So the greatest common factor 814,923 is 1.
Lets's calculate LCM of 19,369
Given numbers has no common factors except 1. So, there LCM is their product i.e 7011
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7011
Therefore, the GCF of Fractions 814/19,923/369 is 1/7011
Least Common Multiple of 19,369 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 19,369 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,369) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(19,369) x common factors =1 x 1 = 1
LCM(19,369) = ( 19 × 369 ) / 1
LCM(19,369) = 7011 / 1
LCM(19,369) = 7011
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FAQs on GCF of Fractions of 814/19, 923/369
1. What is the HCF of 814,923?
The HCF of 814,923 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 814/19, 923/369?
Answer: GCF of Numerators as per given numbers 814/19, 923/369 is
GCF of Numerators i.e. for 814,923 is 1
LCM of denominators i.e. for 19,369 is 7011.
Thus, GCF of Fractions is 1/7011.Finally, GCF of Fractions for 814/19, 923/369 is 1/7011.