Use our free GCF of Fractions Calculator tool to compute the GCF of 313/819, 630/353 i.e 1/289107 easily. The following is the detailed procedure to determine the greatest common factor of fractions 313/819, 630/353.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 313/819,630/353
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 313/819,630/353, numerators are 313,630
Denominators are 819,353
The GCF of 313,630 is 1 .
LCM of 819,353 is 289107.
The greatest common factor of 313/819,630/353 = [GCF of 313,630]/[LCM of 819,353]= 1/289107
Therefore, the GCF of 313/819,630/353 is 1/289107.
To find the highest common factor of 313,630, we have to find the factors of both numbers and list the highest common factor.
The factors of 313 are 1, 313
The factors of 630 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
The HCF of 313,630 is 1.
Lets's calculate GCF of 313,630
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 313
:1,313
Now, list down the factors of 630
:1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630
Greatest Common Factor
We found the factors 313,630 . The biggest common factor number is the GCF number.
So the greatest common factor 313,630 is 1.
Lets's calculate LCM of 819,353
Given numbers has no common factors except 1. So, there LCM is their product i.e 289107
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/289107
Therefore, the GCF of Fractions 313/819,630/353 is 1/289107
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 819,353 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(819,353) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(819,353) x common factors =1 x 1 = 1
LCM(819,353) = ( 819 × 353 ) / 1
LCM(819,353) = 289107 / 1
LCM(819,353) = 289107
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 313,630?
The HCF of 313,630 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 313/819, 630/353?
Answer: GCF of Numerators as per given numbers 313/819, 630/353 is
GCF of Numerators i.e. for 313,630 is 1
LCM of denominators i.e. for 819,353 is 289107.
Thus, GCF of Fractions is 1/289107.Finally, GCF of Fractions for 313/819, 630/353 is 1/289107.