Use our free GCF of Fractions Calculator tool to compute the GCF of 830/331, 872/629 i.e 2/208199 easily. The following is the detailed procedure to determine the greatest common factor of fractions 830/331, 872/629.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 830/331,872/629
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 830/331,872/629, numerators are 830,872
Denominators are 331,629
The GCF of 830,872 is 2 .
LCM of 331,629 is 208199.
The greatest common factor of 830/331,872/629 = [GCF of 830,872]/[LCM of 331,629]= 2/208199
Therefore, the GCF of 830/331,872/629 is 2/208199.
To find the highest common factor of 830,872, we have to find the factors of both numbers and list the highest common factor.
The factors of 830 are 1, 2, 5, 10, 83, 166, 415, 830
The factors of 872 are 1, 2, 4, 8, 109, 218, 436, 872
The HCF of 830,872 is 2.
Lets's calculate GCF of 830,872
2 | 830, 872 |
415, 436 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 830
:1,2,5,10,83,166,415,830
Now, list down the factors of 872
:1,2,4,8,109,218,436,872
Greatest Common Factor
We found the factors 830,872 . The biggest common factor number is the GCF number.
So the greatest common factor 830,872 is 2.
Lets's calculate LCM of 331,629
Given numbers has no common factors except 1. So, there LCM is their product i.e 208199
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/208199
Therefore, the GCF of Fractions 830/331,872/629 is 2/208199
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 331,629 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(331,629) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(331,629) x common factors =1 x 1 = 1
LCM(331,629) = ( 331 × 629 ) / 1
LCM(331,629) = 208199 / 1
LCM(331,629) = 208199
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 830,872?
The HCF of 830,872 is 2
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 830/331, 872/629?
Answer: GCF of Numerators as per given numbers 830/331, 872/629 is
GCF of Numerators i.e. for 830,872 is 2
LCM of denominators i.e. for 331,629 is 208199.
Thus, GCF of Fractions is 2/208199.Finally, GCF of Fractions for 830/331, 872/629 is 2/208199.