Use our free GCF of Fractions Calculator tool to compute the GCF of 523/933, 977/592 i.e 1/552336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 523/933, 977/592.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 523/933,977/592
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 523/933,977/592, numerators are 523,977
Denominators are 933,592
The GCF of 523,977 is 1 .
LCM of 933,592 is 552336.
The greatest common factor of 523/933,977/592 = [GCF of 523,977]/[LCM of 933,592]= 1/552336
Therefore, the GCF of 523/933,977/592 is 1/552336.
To find the highest common factor of 523,977, we have to find the factors of both numbers and list the highest common factor.
The factors of 523 are 1, 523
The factors of 977 are 1, 977
The HCF of 523,977 is 1.
Lets's calculate GCF of 523,977
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 523
:1,523
Now, list down the factors of 977
:1,977
Greatest Common Factor
We found the factors 523,977 . The biggest common factor number is the GCF number.
So the greatest common factor 523,977 is 1.
Lets's calculate LCM of 933,592
Given numbers has no common factors except 1. So, there LCM is their product i.e 552336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/552336
Therefore, the GCF of Fractions 523/933,977/592 is 1/552336
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 933,592 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(933,592) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(933,592) x common factors =1 x 1 = 1
LCM(933,592) = ( 933 × 592 ) / 1
LCM(933,592) = 552336 / 1
LCM(933,592) = 552336
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 523,977?
The HCF of 523,977 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 523/933, 977/592?
Answer: GCF of Numerators as per given numbers 523/933, 977/592 is
GCF of Numerators i.e. for 523,977 is 1
LCM of denominators i.e. for 933,592 is 552336.
Thus, GCF of Fractions is 1/552336.Finally, GCF of Fractions for 523/933, 977/592 is 1/552336.