Use our free GCF of Fractions Calculator tool to compute the GCF of 961/829, 186/989 i.e 31/819881 easily. The following is the detailed procedure to determine the greatest common factor of fractions 961/829, 186/989.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 961/829,186/989
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 961/829,186/989, numerators are 961,186
Denominators are 829,989
The GCF of 961,186 is 31 .
LCM of 829,989 is 819881.
The greatest common factor of 961/829,186/989 = [GCF of 961,186]/[LCM of 829,989]= 31/819881
Therefore, the GCF of 961/829,186/989 is 31/819881.
To find the highest common factor of 961,186, we have to find the factors of both numbers and list the highest common factor.
The factors of 961 are 1, 31, 961
The factors of 186 are 1, 2, 3, 6, 31, 62, 93, 186
The HCF of 961,186 is 31.
Lets's calculate GCF of 961,186
31 | 961, 186 |
31, 6 |
∴ So the GCF of the given numbers is 31 = 31
Now, list down the factors of 961
:1,31,961
Now, list down the factors of 186
:1,2,3,6,31,62,93,186
Greatest Common Factor
We found the factors 961,186 . The biggest common factor number is the GCF number.
So the greatest common factor 961,186 is 31.
Lets's calculate LCM of 829,989
Given numbers has no common factors except 1. So, there LCM is their product i.e 819881
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/819881
Therefore, the GCF of Fractions 961/829,186/989 is 31/819881
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 829,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(829,989) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(829,989) x common factors =1 x 1 = 1
LCM(829,989) = ( 829 × 989 ) / 1
LCM(829,989) = 819881 / 1
LCM(829,989) = 819881
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 961,186?
The HCF of 961,186 is 31
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 961/829, 186/989?
Answer: GCF of Numerators as per given numbers 961/829, 186/989 is
GCF of Numerators i.e. for 961,186 is 31
LCM of denominators i.e. for 829,989 is 819881.
Thus, GCF of Fractions is 31/819881.Finally, GCF of Fractions for 961/829, 186/989 is 31/819881.