Use our free GCF of Fractions Calculator tool to compute the GCF of 530/777, 817/999 i.e 1/6993 easily. The following is the detailed procedure to determine the greatest common factor of fractions 530/777, 817/999.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 530/777,817/999
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 530/777,817/999, numerators are 530,817
Denominators are 777,999
The GCF of 530,817 is 1 .
LCM of 777,999 is 6993.
The greatest common factor of 530/777,817/999 = [GCF of 530,817]/[LCM of 777,999]= 1/6993
Therefore, the GCF of 530/777,817/999 is 1/6993.
To find the highest common factor of 530,817, we have to find the factors of both numbers and list the highest common factor.
The factors of 530 are 1, 2, 5, 10, 53, 106, 265, 530
The factors of 817 are 1, 19, 43, 817
The HCF of 530,817 is 1.
Lets's calculate GCF of 530,817
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 530
:1,2,5,10,53,106,265,530
Now, list down the factors of 817
:1,19,43,817
Greatest Common Factor
We found the factors 530,817 . The biggest common factor number is the GCF number.
So the greatest common factor 530,817 is 1.
Lets's calculate LCM of 777,999
3 | 777, 999 |
37 | 259, 333 |
7, 9 |
∴ So the LCM of the given numbers is 3 x 37 x 7 x 9 = 6993
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6993
Therefore, the GCF of Fractions 530/777,817/999 is 1/6993
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 777,999 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(777,999) = 111
common factors(in case of two or more numbers have common factors) = 1
GCF(777,999) x common factors =111 x 1 = 111
LCM(777,999) = ( 777 × 999 ) / 111
LCM(777,999) = 776223 / 111
LCM(777,999) = 6993
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 530,817?
The HCF of 530,817 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 530/777, 817/999?
Answer: GCF of Numerators as per given numbers 530/777, 817/999 is
GCF of Numerators i.e. for 530,817 is 1
LCM of denominators i.e. for 777,999 is 6993.
Thus, GCF of Fractions is 1/6993.Finally, GCF of Fractions for 530/777, 817/999 is 1/6993.