Use our free GCF of Fractions Calculator tool to compute the GCF of 595/593, 833/252 i.e 119/149436 easily. The following is the detailed procedure to determine the greatest common factor of fractions 595/593, 833/252.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 595/593,833/252
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 595/593,833/252, numerators are 595,833
Denominators are 593,252
The GCF of 595,833 is 119 .
LCM of 593,252 is 149436.
The greatest common factor of 595/593,833/252 = [GCF of 595,833]/[LCM of 593,252]= 119/149436
Therefore, the GCF of 595/593,833/252 is 119/149436.
To find the highest common factor of 595,833, we have to find the factors of both numbers and list the highest common factor.
The factors of 595 are 1, 5, 7, 17, 35, 85, 119, 595
The factors of 833 are 1, 7, 17, 49, 119, 833
The HCF of 595,833 is 119.
Lets's calculate GCF of 595,833
7 | 595, 833 |
17 | 85, 119 |
5, 7 |
∴ So the GCF of the given numbers is 7 x 17 = 119
Now, list down the factors of 595
:1,5,7,17,35,85,119,595
Now, list down the factors of 833
:1,7,17,49,119,833
Greatest Common Factor
We found the factors 595,833 . The biggest common factor number is the GCF number.
So the greatest common factor 595,833 is 119.
Lets's calculate LCM of 593,252
Given numbers has no common factors except 1. So, there LCM is their product i.e 149436
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 119/149436
Therefore, the GCF of Fractions 595/593,833/252 is 119/149436
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 593,252 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(593,252) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(593,252) x common factors =1 x 1 = 1
LCM(593,252) = ( 593 × 252 ) / 1
LCM(593,252) = 149436 / 1
LCM(593,252) = 149436
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 595,833?
The HCF of 595,833 is 119
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 595/593, 833/252?
Answer: GCF of Numerators as per given numbers 595/593, 833/252 is
GCF of Numerators i.e. for 595,833 is 119
LCM of denominators i.e. for 593,252 is 149436.
Thus, GCF of Fractions is 119/149436.Finally, GCF of Fractions for 595/593, 833/252 is 119/149436.