Use our free GCF of Fractions Calculator tool to compute the GCF of 291/405, 645/349 i.e 3/141345 easily. The following is the detailed procedure to determine the greatest common factor of fractions 291/405, 645/349.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 291/405,645/349
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 291/405,645/349, numerators are 291,645
Denominators are 405,349
The GCF of 291,645 is 3 .
LCM of 405,349 is 141345.
The greatest common factor of 291/405,645/349 = [GCF of 291,645]/[LCM of 405,349]= 3/141345
Therefore, the GCF of 291/405,645/349 is 3/141345.
To find the highest common factor of 291,645, we have to find the factors of both numbers and list the highest common factor.
The factors of 291 are 1, 3, 97, 291
The factors of 645 are 1, 3, 5, 15, 43, 129, 215, 645
The HCF of 291,645 is 3.
Lets's calculate GCF of 291,645
3 | 291, 645 |
97, 215 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 291
:1,3,97,291
Now, list down the factors of 645
:1,3,5,15,43,129,215,645
Greatest Common Factor
We found the factors 291,645 . The biggest common factor number is the GCF number.
So the greatest common factor 291,645 is 3.
Lets's calculate LCM of 405,349
Given numbers has no common factors except 1. So, there LCM is their product i.e 141345
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/141345
Therefore, the GCF of Fractions 291/405,645/349 is 3/141345
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 405,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(405,349) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(405,349) x common factors =1 x 1 = 1
LCM(405,349) = ( 405 × 349 ) / 1
LCM(405,349) = 141345 / 1
LCM(405,349) = 141345
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 291,645?
The HCF of 291,645 is 3
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 291/405, 645/349?
Answer: GCF of Numerators as per given numbers 291/405, 645/349 is
GCF of Numerators i.e. for 291,645 is 3
LCM of denominators i.e. for 405,349 is 141345.
Thus, GCF of Fractions is 3/141345.Finally, GCF of Fractions for 291/405, 645/349 is 3/141345.