Use our free GCF of Fractions Calculator tool to compute the GCF of 595/247, 934/310 i.e 1/76570 easily. The following is the detailed procedure to determine the greatest common factor of fractions 595/247, 934/310.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 595/247,934/310
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 595/247,934/310, numerators are 595,934
Denominators are 247,310
The GCF of 595,934 is 1 .
LCM of 247,310 is 76570.
The greatest common factor of 595/247,934/310 = [GCF of 595,934]/[LCM of 247,310]= 1/76570
Therefore, the GCF of 595/247,934/310 is 1/76570.
To find the highest common factor of 595,934, 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 934 are 1, 2, 467, 934
The HCF of 595,934 is 1.
Lets's calculate GCF of 595,934
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 595
:1,5,7,17,35,85,119,595
Now, list down the factors of 934
:1,2,467,934
Greatest Common Factor
We found the factors 595,934 . The biggest common factor number is the GCF number.
So the greatest common factor 595,934 is 1.
Lets's calculate LCM of 247,310
Given numbers has no common factors except 1. So, there LCM is their product i.e 76570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/76570
Therefore, the GCF of Fractions 595/247,934/310 is 1/76570
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 247,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(247,310) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(247,310) x common factors =1 x 1 = 1
LCM(247,310) = ( 247 × 310 ) / 1
LCM(247,310) = 76570 / 1
LCM(247,310) = 76570
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 595,934?
The HCF of 595,934 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 595/247, 934/310?
Answer: GCF of Numerators as per given numbers 595/247, 934/310 is
GCF of Numerators i.e. for 595,934 is 1
LCM of denominators i.e. for 247,310 is 76570.
Thus, GCF of Fractions is 1/76570.Finally, GCF of Fractions for 595/247, 934/310 is 1/76570.