Use our free GCF of Fractions Calculator tool to compute the GCF of 629/233, 658/212 i.e 1/49396 easily. The following is the detailed procedure to determine the greatest common factor of fractions 629/233, 658/212.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 629/233,658/212
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 629/233,658/212, numerators are 629,658
Denominators are 233,212
The GCF of 629,658 is 1 .
LCM of 233,212 is 49396.
The greatest common factor of 629/233,658/212 = [GCF of 629,658]/[LCM of 233,212]= 1/49396
Therefore, the GCF of 629/233,658/212 is 1/49396.
To find the highest common factor of 629,658, we have to find the factors of both numbers and list the highest common factor.
The factors of 629 are 1, 17, 37, 629
The factors of 658 are 1, 2, 7, 14, 47, 94, 329, 658
The HCF of 629,658 is 1.
Lets's calculate GCF of 629,658
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 629
:1,17,37,629
Now, list down the factors of 658
:1,2,7,14,47,94,329,658
Greatest Common Factor
We found the factors 629,658 . The biggest common factor number is the GCF number.
So the greatest common factor 629,658 is 1.
Lets's calculate LCM of 233,212
Given numbers has no common factors except 1. So, there LCM is their product i.e 49396
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49396
Therefore, the GCF of Fractions 629/233,658/212 is 1/49396
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 233,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(233,212) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(233,212) x common factors =1 x 1 = 1
LCM(233,212) = ( 233 × 212 ) / 1
LCM(233,212) = 49396 / 1
LCM(233,212) = 49396
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 629,658?
The HCF of 629,658 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 629/233, 658/212?
Answer: GCF of Numerators as per given numbers 629/233, 658/212 is
GCF of Numerators i.e. for 629,658 is 1
LCM of denominators i.e. for 233,212 is 49396.
Thus, GCF of Fractions is 1/49396.Finally, GCF of Fractions for 629/233, 658/212 is 1/49396.