Use our free GCF of Fractions Calculator tool to compute the GCF of 659/936, 829/105 i.e 1/32760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 659/936, 829/105.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 659/936,829/105
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 659/936,829/105, numerators are 659,829
Denominators are 936,105
The GCF of 659,829 is 1 .
LCM of 936,105 is 32760.
The greatest common factor of 659/936,829/105 = [GCF of 659,829]/[LCM of 936,105]= 1/32760
Therefore, the GCF of 659/936,829/105 is 1/32760.
To find the highest common factor of 659,829, we have to find the factors of both numbers and list the highest common factor.
The factors of 659 are 1, 659
The factors of 829 are 1, 829
The HCF of 659,829 is 1.
Lets's calculate GCF of 659,829
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 659
:1,659
Now, list down the factors of 829
:1,829
Greatest Common Factor
We found the factors 659,829 . The biggest common factor number is the GCF number.
So the greatest common factor 659,829 is 1.
Lets's calculate LCM of 936,105
3 | 936, 105 |
312, 35 |
∴ So the LCM of the given numbers is 3 x 312 x 35 = 32760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32760
Therefore, the GCF of Fractions 659/936,829/105 is 1/32760
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 936,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(936,105) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(936,105) x common factors =3 x 1 = 3
LCM(936,105) = ( 936 × 105 ) / 3
LCM(936,105) = 98280 / 3
LCM(936,105) = 32760
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 659,829?
The HCF of 659,829 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 659/936, 829/105?
Answer: GCF of Numerators as per given numbers 659/936, 829/105 is
GCF of Numerators i.e. for 659,829 is 1
LCM of denominators i.e. for 936,105 is 32760.
Thus, GCF of Fractions is 1/32760.Finally, GCF of Fractions for 659/936, 829/105 is 1/32760.