Use our free GCF of Fractions Calculator tool to compute the GCF of 319/611, 435/655 i.e 29/400205 easily. The following is the detailed procedure to determine the greatest common factor of fractions 319/611, 435/655.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 319/611,435/655
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 319/611,435/655, numerators are 319,435
Denominators are 611,655
The GCF of 319,435 is 29 .
LCM of 611,655 is 400205.
The greatest common factor of 319/611,435/655 = [GCF of 319,435]/[LCM of 611,655]= 29/400205
Therefore, the GCF of 319/611,435/655 is 29/400205.
To find the highest common factor of 319,435, we have to find the factors of both numbers and list the highest common factor.
The factors of 319 are 1, 11, 29, 319
The factors of 435 are 1, 3, 5, 15, 29, 87, 145, 435
The HCF of 319,435 is 29.
Lets's calculate GCF of 319,435
29 | 319, 435 |
11, 15 |
∴ So the GCF of the given numbers is 29 = 29
Now, list down the factors of 319
:1,11,29,319
Now, list down the factors of 435
:1,3,5,15,29,87,145,435
Greatest Common Factor
We found the factors 319,435 . The biggest common factor number is the GCF number.
So the greatest common factor 319,435 is 29.
Lets's calculate LCM of 611,655
Given numbers has no common factors except 1. So, there LCM is their product i.e 400205
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/400205
Therefore, the GCF of Fractions 319/611,435/655 is 29/400205
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 611,655 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(611,655) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(611,655) x common factors =1 x 1 = 1
LCM(611,655) = ( 611 × 655 ) / 1
LCM(611,655) = 400205 / 1
LCM(611,655) = 400205
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 319,435?
The HCF of 319,435 is 29
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 319/611, 435/655?
Answer: GCF of Numerators as per given numbers 319/611, 435/655 is
GCF of Numerators i.e. for 319,435 is 29
LCM of denominators i.e. for 611,655 is 400205.
Thus, GCF of Fractions is 29/400205.Finally, GCF of Fractions for 319/611, 435/655 is 29/400205.