Use our free GCF of Fractions Calculator tool to compute the GCF of 719/100, 831/282 i.e 1/14100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 719/100, 831/282.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 719/100,831/282
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 719/100,831/282, numerators are 719,831
Denominators are 100,282
The GCF of 719,831 is 1 .
LCM of 100,282 is 14100.
The greatest common factor of 719/100,831/282 = [GCF of 719,831]/[LCM of 100,282]= 1/14100
Therefore, the GCF of 719/100,831/282 is 1/14100.
To find the highest common factor of 719,831, we have to find the factors of both numbers and list the highest common factor.
The factors of 719 are 1, 719
The factors of 831 are 1, 3, 277, 831
The HCF of 719,831 is 1.
Lets's calculate GCF of 719,831
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 719
:1,719
Now, list down the factors of 831
:1,3,277,831
Greatest Common Factor
We found the factors 719,831 . The biggest common factor number is the GCF number.
So the greatest common factor 719,831 is 1.
Lets's calculate LCM of 100,282
2 | 100, 282 |
50, 141 |
∴ So the LCM of the given numbers is 2 x 50 x 141 = 14100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14100
Therefore, the GCF of Fractions 719/100,831/282 is 1/14100
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 100,282 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(100,282) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(100,282) x common factors =2 x 1 = 2
LCM(100,282) = ( 100 × 282 ) / 2
LCM(100,282) = 28200 / 2
LCM(100,282) = 14100
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 719,831?
The HCF of 719,831 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 719/100, 831/282?
Answer: GCF of Numerators as per given numbers 719/100, 831/282 is
GCF of Numerators i.e. for 719,831 is 1
LCM of denominators i.e. for 100,282 is 14100.
Thus, GCF of Fractions is 1/14100.Finally, GCF of Fractions for 719/100, 831/282 is 1/14100.