Use our free GCF of Fractions Calculator tool to compute the GCF of 593/130, 958/751 i.e 1/97630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 593/130, 958/751.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 593/130,958/751
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 593/130,958/751, numerators are 593,958
Denominators are 130,751
The GCF of 593,958 is 1 .
LCM of 130,751 is 97630.
The greatest common factor of 593/130,958/751 = [GCF of 593,958]/[LCM of 130,751]= 1/97630
Therefore, the GCF of 593/130,958/751 is 1/97630.
To find the highest common factor of 593,958, we have to find the factors of both numbers and list the highest common factor.
The factors of 593 are 1, 593
The factors of 958 are 1, 2, 479, 958
The HCF of 593,958 is 1.
Lets's calculate GCF of 593,958
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 593
:1,593
Now, list down the factors of 958
:1,2,479,958
Greatest Common Factor
We found the factors 593,958 . The biggest common factor number is the GCF number.
So the greatest common factor 593,958 is 1.
Lets's calculate LCM of 130,751
Given numbers has no common factors except 1. So, there LCM is their product i.e 97630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/97630
Therefore, the GCF of Fractions 593/130,958/751 is 1/97630
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 130,751 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(130,751) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(130,751) x common factors =1 x 1 = 1
LCM(130,751) = ( 130 × 751 ) / 1
LCM(130,751) = 97630 / 1
LCM(130,751) = 97630
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 593,958?
The HCF of 593,958 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 593/130, 958/751?
Answer: GCF of Numerators as per given numbers 593/130, 958/751 is
GCF of Numerators i.e. for 593,958 is 1
LCM of denominators i.e. for 130,751 is 97630.
Thus, GCF of Fractions is 1/97630.Finally, GCF of Fractions for 593/130, 958/751 is 1/97630.