GCF of 451/804, 7723/815
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 451/804, 7723/815 i.e 1/655260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 451/804, 7723/815.
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 451/804,7723/815?
Given fractions are 451/804,7723/815
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 451/804,7723/815, numerators are 451,7723
Denominators are 804,815
The GCF of 451,7723 is 1 .
LCM of 804,815 is 655260.
The greatest common factor of 451/804,7723/815 = [GCF of 451,7723]/[LCM of 804,815]= 1/655260
Therefore, the GCF of 451/804,7723/815 is 1/655260.
To find the highest common factor of 451,7723, we have to find the factors of both numbers and list the highest common factor.
The factors of 451 are 1, 11, 41, 451
The factors of 7723 are 1, 7723
The HCF of 451,7723 is 1.
Lets's calculate GCF of 451,7723
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 451,7723 By Matching Biggest Common Factor Method
Now, list down the factors of 451
:1,11,41,451
Now, list down the factors of 7723
:1,7723
Greatest Common Factor
We found the factors 451,7723 . The biggest common factor number is the GCF number.
So the greatest common factor 451,7723 is 1.
Lets's calculate LCM of 804,815
Given numbers has no common factors except 1. So, there LCM is their product i.e 655260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/655260
Therefore, the GCF of Fractions 451/804,7723/815 is 1/655260
Least Common Multiple of 804,815 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 804,815 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(804,815) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(804,815) x common factors =1 x 1 = 1
LCM(804,815) = ( 804 × 815 ) / 1
LCM(804,815) = 655260 / 1
LCM(804,815) = 655260
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FAQs on GCF of Fractions of 451/804, 7723/815
1. What is the HCF of 451,7723?
The HCF of 451,7723 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 451/804, 7723/815?
Answer: GCF of Numerators as per given numbers 451/804, 7723/815 is
GCF of Numerators i.e. for 451,7723 is 1
LCM of denominators i.e. for 804,815 is 655260.
Thus, GCF of Fractions is 1/655260.Finally, GCF of Fractions for 451/804, 7723/815 is 1/655260.