Use our free GCF of Fractions Calculator tool to compute the GCF of 575/492, 811/777 i.e 1/127428 easily. The following is the detailed procedure to determine the greatest common factor of fractions 575/492, 811/777.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 575/492,811/777
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 575/492,811/777, numerators are 575,811
Denominators are 492,777
The GCF of 575,811 is 1 .
LCM of 492,777 is 127428.
The greatest common factor of 575/492,811/777 = [GCF of 575,811]/[LCM of 492,777]= 1/127428
Therefore, the GCF of 575/492,811/777 is 1/127428.
To find the highest common factor of 575,811, we have to find the factors of both numbers and list the highest common factor.
The factors of 575 are 1, 5, 23, 25, 115, 575
The factors of 811 are 1, 811
The HCF of 575,811 is 1.
Lets's calculate GCF of 575,811
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 575
:1,5,23,25,115,575
Now, list down the factors of 811
:1,811
Greatest Common Factor
We found the factors 575,811 . The biggest common factor number is the GCF number.
So the greatest common factor 575,811 is 1.
Lets's calculate LCM of 492,777
3 | 492, 777 |
164, 259 |
∴ So the LCM of the given numbers is 3 x 164 x 259 = 127428
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/127428
Therefore, the GCF of Fractions 575/492,811/777 is 1/127428
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 492,777 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(492,777) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(492,777) x common factors =3 x 1 = 3
LCM(492,777) = ( 492 × 777 ) / 3
LCM(492,777) = 382284 / 3
LCM(492,777) = 127428
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 575,811?
The HCF of 575,811 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 575/492, 811/777?
Answer: GCF of Numerators as per given numbers 575/492, 811/777 is
GCF of Numerators i.e. for 575,811 is 1
LCM of denominators i.e. for 492,777 is 127428.
Thus, GCF of Fractions is 1/127428.Finally, GCF of Fractions for 575/492, 811/777 is 1/127428.