Use our free GCF of Fractions Calculator tool to compute the GCF of 832/516, 855/822 i.e 1/70692 easily. The following is the detailed procedure to determine the greatest common factor of fractions 832/516, 855/822.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 832/516,855/822
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 832/516,855/822, numerators are 832,855
Denominators are 516,822
The GCF of 832,855 is 1 .
LCM of 516,822 is 70692.
The greatest common factor of 832/516,855/822 = [GCF of 832,855]/[LCM of 516,822]= 1/70692
Therefore, the GCF of 832/516,855/822 is 1/70692.
To find the highest common factor of 832,855, we have to find the factors of both numbers and list the highest common factor.
The factors of 832 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
The factors of 855 are 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
The HCF of 832,855 is 1.
Lets's calculate GCF of 832,855
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 832
:1,2,4,8,13,16,26,32,52,64,104,208,416,832
Now, list down the factors of 855
:1,3,5,9,15,19,45,57,95,171,285,855
Greatest Common Factor
We found the factors 832,855 . The biggest common factor number is the GCF number.
So the greatest common factor 832,855 is 1.
Lets's calculate LCM of 516,822
2 | 516, 822 |
3 | 258, 411 |
86, 137 |
∴ So the LCM of the given numbers is 2 x 3 x 86 x 137 = 70692
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/70692
Therefore, the GCF of Fractions 832/516,855/822 is 1/70692
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 516,822 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(516,822) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(516,822) x common factors =6 x 1 = 6
LCM(516,822) = ( 516 × 822 ) / 6
LCM(516,822) = 424152 / 6
LCM(516,822) = 70692
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 832,855?
The HCF of 832,855 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 832/516, 855/822?
Answer: GCF of Numerators as per given numbers 832/516, 855/822 is
GCF of Numerators i.e. for 832,855 is 1
LCM of denominators i.e. for 516,822 is 70692.
Thus, GCF of Fractions is 1/70692.Finally, GCF of Fractions for 832/516, 855/822 is 1/70692.