Use our free GCF of Fractions Calculator tool to compute the GCF of 141/673, 658/368 i.e 47/247664 easily. The following is the detailed procedure to determine the greatest common factor of fractions 141/673, 658/368.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 141/673,658/368
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 141/673,658/368, numerators are 141,658
Denominators are 673,368
The GCF of 141,658 is 47 .
LCM of 673,368 is 247664.
The greatest common factor of 141/673,658/368 = [GCF of 141,658]/[LCM of 673,368]= 47/247664
Therefore, the GCF of 141/673,658/368 is 47/247664.
To find the highest common factor of 141,658, we have to find the factors of both numbers and list the highest common factor.
The factors of 141 are 1, 3, 47, 141
The factors of 658 are 1, 2, 7, 14, 47, 94, 329, 658
The HCF of 141,658 is 47.
Lets's calculate GCF of 141,658
47 | 141, 658 |
3, 14 |
∴ So the GCF of the given numbers is 47 = 47
Now, list down the factors of 141
:1,3,47,141
Now, list down the factors of 658
:1,2,7,14,47,94,329,658
Greatest Common Factor
We found the factors 141,658 . The biggest common factor number is the GCF number.
So the greatest common factor 141,658 is 47.
Lets's calculate LCM of 673,368
Given numbers has no common factors except 1. So, there LCM is their product i.e 247664
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 47/247664
Therefore, the GCF of Fractions 141/673,658/368 is 47/247664
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 673,368 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(673,368) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(673,368) x common factors =1 x 1 = 1
LCM(673,368) = ( 673 × 368 ) / 1
LCM(673,368) = 247664 / 1
LCM(673,368) = 247664
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 141,658?
The HCF of 141,658 is 47
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 141/673, 658/368?
Answer: GCF of Numerators as per given numbers 141/673, 658/368 is
GCF of Numerators i.e. for 141,658 is 47
LCM of denominators i.e. for 673,368 is 247664.
Thus, GCF of Fractions is 47/247664.Finally, GCF of Fractions for 141/673, 658/368 is 47/247664.