Use our free GCF of Fractions Calculator tool to compute the GCF of 605/823, 804/454 i.e 1/373642 easily. The following is the detailed procedure to determine the greatest common factor of fractions 605/823, 804/454.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 605/823,804/454
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 605/823,804/454, numerators are 605,804
Denominators are 823,454
The GCF of 605,804 is 1 .
LCM of 823,454 is 373642.
The greatest common factor of 605/823,804/454 = [GCF of 605,804]/[LCM of 823,454]= 1/373642
Therefore, the GCF of 605/823,804/454 is 1/373642.
To find the highest common factor of 605,804, we have to find the factors of both numbers and list the highest common factor.
The factors of 605 are 1, 5, 11, 55, 121, 605
The factors of 804 are 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
The HCF of 605,804 is 1.
Lets's calculate GCF of 605,804
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 605
:1,5,11,55,121,605
Now, list down the factors of 804
:1,2,3,4,6,12,67,134,201,268,402,804
Greatest Common Factor
We found the factors 605,804 . The biggest common factor number is the GCF number.
So the greatest common factor 605,804 is 1.
Lets's calculate LCM of 823,454
Given numbers has no common factors except 1. So, there LCM is their product i.e 373642
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/373642
Therefore, the GCF of Fractions 605/823,804/454 is 1/373642
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 823,454 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(823,454) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(823,454) x common factors =1 x 1 = 1
LCM(823,454) = ( 823 × 454 ) / 1
LCM(823,454) = 373642 / 1
LCM(823,454) = 373642
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 605,804?
The HCF of 605,804 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 605/823, 804/454?
Answer: GCF of Numerators as per given numbers 605/823, 804/454 is
GCF of Numerators i.e. for 605,804 is 1
LCM of denominators i.e. for 823,454 is 373642.
Thus, GCF of Fractions is 1/373642.Finally, GCF of Fractions for 605/823, 804/454 is 1/373642.