Use our free GCF of Fractions Calculator tool to compute the GCF of 631/858, 590/125 i.e 1/107250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 631/858, 590/125.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 631/858,590/125
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 631/858,590/125, numerators are 631,590
Denominators are 858,125
The GCF of 631,590 is 1 .
LCM of 858,125 is 107250.
The greatest common factor of 631/858,590/125 = [GCF of 631,590]/[LCM of 858,125]= 1/107250
Therefore, the GCF of 631/858,590/125 is 1/107250.
To find the highest common factor of 631,590, we have to find the factors of both numbers and list the highest common factor.
The factors of 631 are 1, 631
The factors of 590 are 1, 2, 5, 10, 59, 118, 295, 590
The HCF of 631,590 is 1.
Lets's calculate GCF of 631,590
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 631
:1,631
Now, list down the factors of 590
:1,2,5,10,59,118,295,590
Greatest Common Factor
We found the factors 631,590 . The biggest common factor number is the GCF number.
So the greatest common factor 631,590 is 1.
Lets's calculate LCM of 858,125
Given numbers has no common factors except 1. So, there LCM is their product i.e 107250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/107250
Therefore, the GCF of Fractions 631/858,590/125 is 1/107250
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 858,125 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(858,125) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(858,125) x common factors =1 x 1 = 1
LCM(858,125) = ( 858 × 125 ) / 1
LCM(858,125) = 107250 / 1
LCM(858,125) = 107250
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 631,590?
The HCF of 631,590 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 631/858, 590/125?
Answer: GCF of Numerators as per given numbers 631/858, 590/125 is
GCF of Numerators i.e. for 631,590 is 1
LCM of denominators i.e. for 858,125 is 107250.
Thus, GCF of Fractions is 1/107250.Finally, GCF of Fractions for 631/858, 590/125 is 1/107250.